diff --git a/research/p104-joint-contact-native-caller-audit/FULL-CHECK.json b/research/p104-joint-contact-native-caller-audit/FULL-CHECK.json
new file mode 100644
index 0000000000..a5d3165a26
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+++ b/research/p104-joint-contact-native-caller-audit/FULL-CHECK.json
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diff --git a/research/p104-joint-contact-native-caller-audit/PROOF.md b/research/p104-joint-contact-native-caller-audit/PROOF.md
new file mode 100644
index 0000000000..7d7fb1bf27
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/PROOF.md
@@ -0,0 +1,68 @@
+# Proof notes for the PR5551 native, caller and funding audit
+
+All statements concern the fixed P104 local word `research/p104-joint-contact/WORD.json.gz` (PR5551) on
+canonical main `5e0052ca0aa3036a3afa8b0438927377c8d97d53`, and its complete invoice in
+`research/p104-joint-contact/RESULT.json`.
+
+## Layer 1: replay and delta
+
+`replay()` is new code that imports nothing from the source packages. Frames are bases of subspaces of F2^9;
+their spans are built as sets. For every event it checks:
+
+- MOVE: the register is in the source frame, its ownership flag is correct, and the target span strictly contains
+  (public) or is strictly contained in (owned) the source span. The paid rank is the dimension gap.
+- ADD, COPY, SCALE: the coefficient is nonzero and the destination (and source) registers are in the event's
+  frame, so the scalar operation runs in a common chart. COPY writes only into a cleared owned field.
+- INIT and CLEAR: owned lifetimes, peak occupancy one.
+
+At the end every public register is in its final frame, no owned field is live, and the 735 + 8 rational rows
+equal the identity on public registers plus X added into Y = X + 112 for the 104 live ports.
+
+For the delta, the non-MOVE programs of PR5545 and PR5551 are equal after removing frame labels. Comparing the
+spans of the frame labels event by event gives exactly 6 ADD and 15 SCALE chart edits; the six ADD sites are
+listed in RESULT.json and match PR5551's construct.py. The paid multisets differ by 2H1 − 3H2 + H3 − H4 + H5,
+and every public initial and final span is unchanged, so the helper target profile and the productive targets
+are unchanged.
+
+## Layer 2: caller and target binding
+
+The PR5550 checker is used as in PR5567: four literal input lines are replaced in a temporary copy (word path,
+helper profile, invoice, local route count from the MOVE count). The positive control runs the patched checker
+on the PR5545 word and invoice and reproduces the complete frozen PR5550 output byte for byte, so the patch
+preserves the checker. On PR5551 the checker recounts the invoice from the MOVEs and native ranks, requires it to
+equal PR5551's `complete_cost`, and checks all productive targets, helper normalizers and ordinary costs.
+PR5550 reports `paid_native_maps_replayed: false`; layer 3 supplies that check.
+
+## Layer 3: native maps
+
+For a MOVE from frame A to frame B the native operator is chart(A)⁻¹ chart(B). The canonical compiler
+`clifford_exact.lower_child` lowers it to a recipe D·P·X·phase·(rank C gates)·D·P·X·phase. The literal
+definition is `adjoint(frame(A)) + frame(B)` from `native_verify.py`. PR5548's dense interpreter evaluates
+both circuits exactly, with Gaussian-dyadic integers, on each of the 512 basis inputs. We require
+
+1. exact equality of every column, including absolute phase;
+2. squared norm one for every column;
+3. exactly 2^rank nonzero entries in every column, where rank is the paid rank of that transition.
+
+The same is done for each distinct helper endpoint pair (chart(initial)⁻¹ chart(final), credited rank
+dim final − dim initial) and for the 208 intrinsic main adapters (input C-gate into chart, chart into the output
+C-gate and Fourier transform), which must lower at rank zero. Checking a phase fault with an unchanged signed
+tableau and a flipped child sign shows that the comparison sees what tableau checks miss.
+
+Condition 3 binds each paid job to an actual native Gaussian of the charged rank. Together with layer 1, which
+fixes which maps occur and how often, this checks the native paid-map inventory of the word, not only the
+maps new relative to PR5545.
+
+## Layer 4: funding
+
+The moment margin at κ is Σ_targets n·r^(1−κ) − Σ_paid n·r^(1−κ). Each power is computed as exp((1−κ)·ln r)
+with 80 significant digits and widened by a relative 10⁻⁷⁰, which is far above the rounding error of the
+Decimal ln/exp. Bisection on the grid 10⁻¹⁴ gives the largest grid point with a certified positive margin and
+the next with a certified negative margin. They equal PR5551's `raw_root_interval`. The engine shares no code
+with PR5551's two moment engines or its funding peer.
+
+## Not covered
+
+The uniform compiler for all recursion levels, owned erasure, precision and tape costs and analytic recovery are
+inherited premises. The outer conjunction and certified κ constant are PR5551's own verifier checks and are not
+repeated here.
diff --git a/research/p104-joint-contact-native-caller-audit/README.md b/research/p104-joint-contact-native-caller-audit/README.md
new file mode 100644
index 0000000000..10d8e60ac0
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/README.md
@@ -0,0 +1,69 @@
+# Independent native, caller and funding audit of PR5551
+
+**Result (scoped audit, no new κ).** Every native map of the PR5551 coupled-contact word passes a dense
+all-column check with absolute phase: 2,940 distinct MOVE maps, 40 distinct helper endpoint pairs and
+208 intrinsic main adapters, 3,188 operators in total (3,187 distinct, since one helper pair is also a MOVE map), each compared on all 512 columns. Earlier dense
+audits checked only the maps new to each word (three for PR5545 in PR5548, four for PR5551 in its own
+native peer). The remaining maps were an inherited premise. On the same word, Chris R's PR5550 caller and
+target-binding checker passes, an own exact replay reproduces the six ADD contact edits and the paid delta,
+and an own decimal interval engine reproduces the author's raw crossing exactly.
+
+Base: canonical main `5e0052ca0aa3036a3afa8b0438927377c8d97d53`, which already contains the PR5551 package
+`research/p104-joint-contact` (author thu-nmrc). All inputs are pinned by Git blob and SHA-256 in
+[SOURCES.json](SOURCES.json). This follows the PR5551 intake note: review the P104 producer/caller and the
+coupled-contact delta together, recheck the native paid-map inventory, the compiler/consumer obligations,
+all productive targets and complete funding, and use a serial bounded replay.
+
+## What is checked
+
+| Layer | Check | Result |
+|---|---|---|
+| 1. Own replay (no source imports) | Both words replayed from scratch: strict span nesting of every MOVE, common chart of every ADD/COPY, rational rows of all 743 endpoints, owned lifetimes | PASS on PR5551 and PR5545 |
+| | Delta PR5545 → PR5551 | Scalar program identical up to frame labels; 6 ADD + 15 SCALE chart edits; local paid delta 2H1 − 3H2 + H3 − H4 + H5; all public endpoint spans and the helper profile {4:51, 5:36, 7:24, 8:122, 9:294} unchanged |
+| 2. PR5550 caller checker | Byte-pinned checker, four input lines changed in a temporary copy (as in PR5567); positive control reproduces the complete PR5550 output on PR5545, SHA-256 `b51a7d19…4009` | PASS on PR5551: 69,912 paid / 12,814 productive, 288 exact signed-Pauli and phase-anchor checks, 9,486 fresh helper checks, ordinary passes 127,292,680 ≤ 184,647,552; all ten PR5550 controls reject; a changed invoice is rejected |
+| 3. Dense native inventory | PR5548's credited exact Gaussian-dyadic interpreter compares the lowered circuit with the literal frame circuit on all 512 columns: exact equality, norm and support size 2^rank | PASS on all 3,188 operators (`--full`); ranks match the paid transition ranks; a second, separately written driver gave the same 3,187 digests |
+| 4. Own funding engine | 80-digit decimal ln/exp with 10⁻⁷⁰ relative padding, bisection on a 10⁻¹⁴ grid | Raw crossing (152076558357/5·10¹³, 60830623343/2·10¹³) = (.00304153116714, .00304153116715), equal to the author interval; .00304117, .00304153 and .0030415305 positive, .00304154 negative |
+
+Native fault controls on the new map 615 → 207: a global phase fault with an unchanged signed tableau and a
+flipped child sign are both rejected by the dense comparison.
+
+## Reproduce
+
+Python 3.12, standard library only, from the repository root:
+
+```sh
+python3.12 -B research/p104-joint-contact-native-caller-audit/verify.py
+```
+
+The default run is serial and takes about five minutes. It checks layers 1, 2 and 4 completely and a fixed
+deterministic subset of layer 3: all four new maps, every helper endpoint pair, all 208 adapters and every
+32nd MOVE map. Each subset matrix digest must equal the digest in [FULL-CHECK.json](FULL-CHECK.json). The
+complete inventory runs with
+
+```sh
+python3.12 -B research/p104-joint-contact-native-caller-audit/verify.py --full --jobs 4
+```
+
+in about eleven minutes on four cores; it recomputes all 3,188 digests and compares them with FULL-CHECK.json.
+The marker is `PASS_P104_JOINT_CONTACT_NATIVE_CALLER_AUDIT`. [PROOF.md](PROOF.md) explains each layer.
+
+## Scope and limits
+
+This audits the finite 9-qubit local word and its complete invoice. It does not materialize the uniform word,
+so the uniform compiler, owned erasure, precision and tape costs and analytic recovery remain inherited premises,
+as in PR5551 and PR5550. The selected record stays .003027288235; PR5551's certified endpoint is the author's
+checker constant. This is an agent check, not human or proof-kernel acceptance. The checked native maps cover the
+"native all-column implementation" premise only for this fixed word.
+
+## Open next questions
+
+- Binding the uniform-compiler contract of PR5550 to the FULL-CHECK.json digests, so the finite native check
+  carries to every recursion level. This is the remaining inherited native premise.
+- Maintainer admission of PR5551, after which PR5553, PR5561 and PR5569 can be judged on an admitted parent.
+
+## Credit
+
+thu-nmrc (PR5551 construction and word). Chris R / Clear1nsight (PR5550 checker, used unchanged except four
+input lines; PR5548 dense interpreter, imported unchanged). Ali Romman (PR5544/PR5545 and the P104 caller).
+The P104 lineage and all retained native, Clifford, compiler and analytic contributors are credited in the
+cited packages. This package was prepared for Matarener with Claude (Anthropic), via Claude Code. Apache-2.0.
diff --git a/research/p104-joint-contact-native-caller-audit/RESULT.json b/research/p104-joint-contact-native-caller-audit/RESULT.json
new file mode 100644
index 0000000000..2e8fcee2b6
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/RESULT.json
@@ -0,0 +1,99 @@
+{
+ "layer1_replay": {
+  "add_sites": [
+   [
+    10140,
+    297,
+    303
+   ],
+   [
+    10141,
+    303,
+    297
+   ],
+   [
+    12479,
+    152,
+    297
+   ],
+   [
+    13062,
+    198,
+    319
+   ],
+   [
+    13172,
+    205,
+    198
+   ],
+   [
+    13173,
+    198,
+    205
+   ]
+  ],
+  "chart_edits": {
+   "ADD": 6,
+   "SCALE": 15
+  },
+  "endpoint_rows_checked": 743,
+  "helper_profile": {
+   "4": 51,
+   "5": 36,
+   "7": 24,
+   "8": 122,
+   "9": 294
+  },
+  "local_paid_delta": {
+   "1": 2,
+   "2": -3,
+   "3": 1,
+   "4": -1,
+   "5": 1
+  },
+  "moves": 3624,
+  "paid_local": {
+   "1": 2430,
+   "2": 554,
+   "3": 390,
+   "4": 111,
+   "5": 108,
+   "6": 17,
+   "7": 13,
+   "9": 1
+  }
+ },
+ "layer2_caller": {
+  "changed_invoice": "rejected",
+  "exact_native_checks": 288,
+  "fresh_helpers": 9486,
+  "ordinary_allowance": 184647552,
+  "ordinary_passes": 127292680,
+  "output_sha256": "b78408c1aa71698cb657d7bc6b6b31b2cc3eff29d4de751f31b96babee6027e1",
+  "paid_jobs": 69912,
+  "positive_control_pr5550_output": "b51a7d19c10faea7d569a48e9536db8ba1e7418f8dd8dfb25646cc87cc9c4009",
+  "productive_fields": 12814,
+  "status": "PASS_SCOPED_CALLER_AND_TARGET_BINDING"
+ },
+ "layer3_dense": {
+  "controls": {
+   "phase_only_fault": "rejected",
+   "wrong_child_sign": "rejected"
+  },
+  "full_check_sha256": "d33e47ca4cb9afb95a4f6e95a42f2173d2bb20037d0e998da3cba3d332a34efa",
+  "tasks_total": 3188
+ },
+ "layer4_funding": {
+  "engine": "decimal, 80 digits, correctly rounded ln/exp padded by 1e-70 relative; independent of both source engines and the PR5551 funding peer",
+  "raw_crossing": [
+   "152076558357/50000000000000",
+   "60830623343/20000000000000"
+  ],
+  "signs": {
+   ".00304117": "positive",
+   ".00304153": "positive",
+   ".0030415305": "positive",
+   ".00304154": "negative"
+  }
+ }
+}
diff --git a/research/p104-joint-contact-native-caller-audit/SOURCES.json b/research/p104-joint-contact-native-caller-audit/SOURCES.json
new file mode 100644
index 0000000000..0952c19a65
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/SOURCES.json
@@ -0,0 +1,102 @@
+{
+  "schema_version": 1,
+  "base_commit": "5e0052ca0aa3036a3afa8b0438927377c8d97d53",
+  "files": [
+    {
+      "path": "certificates/selected-result.json",
+      "usage": "provenance",
+      "git_blob": "fc3d4ba105e1f097d0d7d051a308281e86ab1446",
+      "sha256": "66974efdced4083c00025f97d95d83909a226cdf801edb9301c195c6641f6903"
+    },
+    {
+      "path": "docs/research/agent-task-catalog.json",
+      "usage": "provenance",
+      "git_blob": "f126dd2e2dad2b669e75d1d0d0bd05c600725602",
+      "sha256": "f7a48bfa2659b88378282a8eee7d9fe52cdf505594124c4d1686b58510fffd72"
+    },
+    {
+      "path": "research/p104-joint-contact/WORD.json.gz",
+      "usage": "input",
+      "purpose": "PR5551 coupled-contact word (canonical package on main)",
+      "git_blob": "c04a815c2662bcd0c48ce9c3067a0fe4a041573a",
+      "sha256": "48f8734ca9c5adf5d60ded3a5fefbc24894d2c358ed7cb30fcc0d71718599446"
+    },
+    {
+      "path": "research/p104-joint-contact/RESULT.json",
+      "usage": "input",
+      "purpose": "PR5551 complete invoice and claimed raw root interval",
+      "git_blob": "a83db6d025b3755176449e679e58f8a2e16f3e5c",
+      "sha256": "36a5680f43c7da67e570b6c919de2934c6a5ce46db002993ff162aa36972d0ba"
+    },
+    {
+      "path": "research/p104-full-frame-contact/WORD.json.gz",
+      "usage": "input",
+      "purpose": "PR5545 predecessor word for the delta",
+      "git_blob": "1ce96b0130daeea46ef53fdbd32bca2727aa6b35",
+      "sha256": "a1e416add9d2bb44fce923111ebc50513e5d845e56aabe214f2f0bc7d5f2b45d"
+    },
+    {
+      "path": "research/p104-caller-independent-audit/CAPSULE-INVENTORY.json",
+      "usage": "input",
+      "purpose": "PR5550 capsule byte inventory",
+      "git_blob": "07c7b818f02c2aabab4798c3e8203ffd2fe1e827",
+      "sha256": "c3e525f5d42ad5b274b039db42f97a2b6e372b583d382c73f59dcb3142f1960d"
+    },
+    {
+      "path": "research/p104-caller-independent-audit/capsule/outputs/p104-caller-route-audit-v2-20261025/check.py",
+      "usage": "input",
+      "purpose": "PR5550 caller and target-binding checker (patched in a temporary copy only)",
+      "git_blob": "506882c655d02cbf1ce6a61aabc8ea15982561e8",
+      "sha256": "0e5e0e3d56165437fc2821f41927e3f0cae838c60841a93e8b5cb46caeb7657c"
+    },
+    {
+      "path": "research/p104-native-channel/vendor/clifford_exact.py",
+      "usage": "input",
+      "purpose": "canonical exact Clifford compiler (lower_child)",
+      "git_blob": "166841a037f069249f6f7f6dedb89248812f59e2",
+      "sha256": "2982ead07721e83358dc67c6f49c2b4c16a236a6bebdfd72f58221be1f5d0962"
+    },
+    {
+      "path": "research/p104-native-channel/vendor/native_verify.py",
+      "usage": "input",
+      "purpose": "canonical literal circuit descriptions",
+      "git_blob": "2c209dfa9cfade3bc20ac5fc9d876b433a147f8c",
+      "sha256": "3049471905b47b385c88378a1a3be7a18b8858aadd035b8a6da2f4a03b470f38"
+    },
+    {
+      "path": "research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py",
+      "usage": "input",
+      "purpose": "PR5548 exact dense Gaussian-dyadic interpreter",
+      "git_blob": "e7e663bebaf13f44c95fb8eb118b472cf377e137",
+      "sha256": "43fd40847a0853c0ac511d58ce77ef822a5c6dd1b25f662f01cefaa3196a2f7d"
+    },
+    {
+      "path": "research/pr4359-p7-padding/native_inventory.py",
+      "usage": "input",
+      "purpose": "native inventory read by the PR5550 checker",
+      "git_blob": "8d2d96e3998254c2333c43fe47cdfd074cbd811e",
+      "sha256": "65539acaf45bdfe8c5aee6830f9c9b3d1107c442a60842ef803fdd7688de8f32"
+    },
+    {
+      "path": "research/kappa-0023-productive-jobs/dependencies/kappa-next-regime/direct-decoder/sources/DATA-PHASES.json",
+      "usage": "input",
+      "purpose": "phase data read by the PR5550 checker",
+      "git_blob": "d9a4f84211182ca200c081ea061d724c8a2cfb70",
+      "sha256": "c5916ff312678f12aba403847643fbbc29f643acec60bdf836fa56cd3e8251fa"
+    },
+    {
+      "path": "research/p104-joint-contact/PROOF.md",
+      "usage": "provenance",
+      "purpose": "PR5551 claim being audited",
+      "git_blob": "d1c5fb2211e95c3528b0b5ab99567012e73f98ef",
+      "sha256": "944e11a9a739b2e8cb5516f14959675d1eea7542b6508d7cfb034447e78260ac"
+    },
+    {
+      "path": "research/p104-caller-independent-audit/PROOF.md",
+      "usage": "provenance",
+      "purpose": "PR5550 helper-endpoint contract",
+      "git_blob": "3a74b71a55753a6e7cb372d98b0074cf98dc8708",
+      "sha256": "d73ff9587a85db8063391919ffc4a17521ccd5759cdaf6338ba036703239d839"
+    }
+  ]
+}
diff --git a/research/p104-joint-contact-native-caller-audit/TASK.json b/research/p104-joint-contact-native-caller-audit/TASK.json
new file mode 100644
index 0000000000..6910b3c77e
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/TASK.json
@@ -0,0 +1,112 @@
+{
+  "schema_version": 1,
+  "task_id": "scalar-to-moment",
+  "priority_revision": 7,
+  "base_commit": "5e0052ca0aa3036a3afa8b0438927377c8d97d53",
+  "original_card": {
+    "id": "scalar-to-moment",
+    "question": "Can a changed frame itinerary remove a paid transition beyond the already covered scalar A2 contractions?",
+    "starting_points": [
+      "docs/research/research-family-status.md",
+      "certificates/selected-result.json",
+      "research/staged544-a2-graph-rewrite/README.md",
+      "research/staged544-separated-a2/README.md",
+      "research/staged544-a2-composition-audit/README.md",
+      "research/staged544-a1858-contraction-audit/README.md"
+    ],
+    "methods": [
+      "Derive the changed legal frame itinerary and exact child histogram.",
+      "Prove a scoped obstruction showing why that scalar gain cannot change the paid contract."
+    ],
+    "acceptance_gate": "An unchanged histogram is not a kappa gain; record any separate runtime or proof benefit explicitly.",
+    "first_step": {
+      "command": [
+        "python3",
+        "-B",
+        "scripts/research_baseline.py"
+      ],
+      "expected": "PASS_RESEARCH_BASELINE_BINDINGS_ONLY",
+      "inspect": "Read the A2 and separated-A2 constructions and their composition/contraction audits. Scalar contractions can preserve the complete recursive histogram; fewer ADDs alone do not justify further scans.",
+      "scope": "Source-binding orientation only; no scientific replay, theorem acceptance or supplier admission. Budget any heavy replay separately."
+    },
+    "first_experiment": "Identify an actual paid transition to remove and construct a legal replacement frame itinerary, charging restoration, source windows and changed helpers. Compare complete before/after histograms. Stop if only scalar count changes; report that benefit honestly, without expanding the same scalar-only census.",
+    "bottleneck_link": "A legal change to the histogram, not addition count alone, is the bridge to an exponent gain.",
+    "allowed_variations": [
+      "One existing scalar simplification and one proposed frame-path change."
+    ],
+    "scope_change_triggers": [
+      "Submitting only another scalar count as completion of a paid-profile task."
+    ],
+    "overlap_terms": [
+      "scalar simplification",
+      "paid profile",
+      "R439",
+      "3998",
+      "4019",
+      "4112",
+      "4152",
+      "staged544-a2-graph-rewrite",
+      "staged544-separated-a2",
+      "staged544-a2-composition-audit",
+      "staged544-a1858-contraction-audit"
+    ],
+    "existing_checks": [
+      {
+        "scope": "PR #3998: consecutive A2 scalar contraction",
+        "evidence": "research/staged544-a2-graph-rewrite/README.md",
+        "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.",
+        "status": "author-checked",
+        "source_commit": "389268a6b5e0373a3125d5c6fcd6995f4ea324f5",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      },
+      {
+        "scope": "PR #4019: separated A2 sites with unchanged recursive histogram",
+        "evidence": "research/staged544-separated-a2/README.md",
+        "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.",
+        "status": "author-checked",
+        "source_commit": "f408e09df300b575235f7f77f81948071397e16d",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      },
+      {
+        "scope": "PR #4112: composition audit",
+        "evidence": "research/staged544-a2-composition-audit/README.md",
+        "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.",
+        "status": "author-checked",
+        "source_commit": "205b7380656ba4b6316a8a493b1a3c679b8f7a0e",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      },
+      {
+        "scope": "PR #4152: A1858 contraction audit",
+        "evidence": "research/staged544-a1858-contraction-audit/README.md",
+        "remaining": "A genuinely changed paid itinerary or a distinct independent audit; no default scalar-only expansion.",
+        "status": "author-checked",
+        "source_commit": "caaa14cde5962adc372fdca71f63d0f29e73c8b2",
+        "selected_record_sha256": "bb2eaa58647b353f88d0aec2eafb9d30df1be53589231b23e12ceef3e4bad129"
+      }
+    ]
+  },
+  "scope_status": "refined",
+  "actual_scope": "Independent admission audit of PR5551 (coupled P104 contacts): own exact replay and delta, the PR5550 caller/target checker on the PR5551 word, an own interval engine for funding, and a dense all-column check of every native map of the PR5551 word.",
+  "scope_change_reason": "Audit of a changed frame itinerary already proposed in PR5551; no new itinerary or kappa.",
+  "bottleneck_link": "PR5551 changes the paid histogram by 2H1-3H2+H3-H4+H5 per local call through six ADD chart edits; it is the parent word of PR5553, PR5561 and PR5569, so its admission gates those conditional gains.",
+  "budget_minutes": 240,
+  "stop_rule": "Stop when all four layers pass or one fails with a concrete counterexample; no search for new itineraries.",
+  "outcome": "completed",
+  "evidence": "research/p104-joint-contact-native-caller-audit/RESULT.json",
+  "author": "Matarener",
+  "ai_assistance": "Prepared with Claude (Anthropic) via Claude Code.",
+  "open_questions": [
+    {
+      "question": "Does the uniform compiler preserve the checked finite native maps for every recursion level?",
+      "why_it_matters": "This audit checks the fixed 9-qubit local word; the uniform word is not materialized.",
+      "first_step": "Bind the PR5550 uniform-compiler contract to the FULL-CHECK.json digests.",
+      "blocked_by": "Inherited framework premise"
+    },
+    {
+      "question": "Is PR5551 admitted to the conditional frontier, and then PR5561/PR5569 on top of it?",
+      "why_it_matters": "Those packages take the PR5551 word as given.",
+      "first_step": "Maintainer intake of PR5551 with this audit.",
+      "blocked_by": "Maintainer admission queue"
+    }
+  ]
+}
diff --git a/research/p104-joint-contact-native-caller-audit/VERIFY.json b/research/p104-joint-contact-native-caller-audit/VERIFY.json
new file mode 100644
index 0000000000..8cb545abd4
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/VERIFY.json
@@ -0,0 +1,29 @@
+{
+  "schema_version": 1,
+  "status": "ready",
+  "python": "3.12",
+  "requirements": [],
+  "inputs": [
+    "research/p104-joint-contact/WORD.json.gz",
+    "research/p104-joint-contact/RESULT.json",
+    "research/p104-full-frame-contact/WORD.json.gz",
+    "research/p104-caller-independent-audit/CAPSULE-INVENTORY.json",
+    "research/p104-caller-independent-audit/capsule/outputs/p104-caller-route-audit-v2-20261025/check.py",
+    "research/p104-native-channel/vendor/clifford_exact.py",
+    "research/p104-native-channel/vendor/native_verify.py",
+    "research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py",
+    "research/pr4359-p7-padding/native_inventory.py",
+    "research/kappa-0023-productive-jobs/dependencies/kappa-next-regime/direct-decoder/sources/DATA-PHASES.json"
+  ],
+  "commands": [
+    {
+      "argv": [
+        "{python}",
+        "-B",
+        "{package}/verify.py"
+      ],
+      "timeout_seconds": 600,
+      "checks": "Serial bounded replay: authenticated sources and PR5550 capsule; own exact replay of PR5551 and PR5545 with the 6 ADD + 15 SCALE chart edits and delta 2H1-3H2+H3-H4+H5; patched PR5550 checker reproduces its PR5545 output byte for byte and passes on PR5551 (changed invoice rejected); own decimal crossing equals the author interval; dense all-column absolute-phase check of a fixed subset (all four new maps, every helper endpoint pair, all 208 main adapters, every 32nd MOVE map) equal to FULL-CHECK.json, with phase-only and sign fault controls; result equals RESULT.json."
+    }
+  ]
+}
diff --git a/research/p104-joint-contact-native-caller-audit/verify.py b/research/p104-joint-contact-native-caller-audit/verify.py
new file mode 100644
index 0000000000..bdd861044a
--- /dev/null
+++ b/research/p104-joint-contact-native-caller-audit/verify.py
@@ -0,0 +1,359 @@
+#!/usr/bin/env python3
+"""Independent native-map inventory, caller binding, replay and funding audit of PR5551.  Apache-2.0.
+
+Prepared for Matarener with Claude (Anthropic), via Claude Code.
+Layers (all on the canonical research/p104-joint-contact word):
+  1. own exact replay of the PR5551 and PR5545 words (no source imports) and the coupled-contact delta;
+  2. Chris R / Clear1nsight's byte-pinned PR5550 caller and target-binding checker, run on the PR5551
+     word with four literal input lines changed in a temporary copy (positive control: unchanged
+     PR5550 output on PR5545);
+  3. dense all-column comparison, with absolute phase, of every distinct native MOVE map, every helper
+     endpoint normalizer and every intrinsic main adapter of the PR5551 word, using PR5548's credited
+     dense interpreter.  Default: a fixed deterministic subset (all added maps, every helper endpoint,
+     every adapter and every 32nd MOVE map) compared with FULL-CHECK.json; --full checks every map;
+  4. own decimal interval engine for the raw moment crossing and the claimed/tested savings.
+"""
+from collections import Counter
+from decimal import Decimal, getcontext
+from fractions import Fraction as Q
+from hashlib import sha256
+from multiprocessing import Pool
+from pathlib import Path
+import gzip
+import importlib.util
+import json
+import os
+import shutil
+import subprocess
+import sys
+import tempfile
+
+HERE = Path(__file__).resolve().parent
+ROOT = HERE.parents[1]
+WORD = ROOT/'research/p104-joint-contact/WORD.json.gz'
+RESULT = ROOT/'research/p104-joint-contact/RESULT.json'
+PRED = ROOT/'research/p104-full-frame-contact/WORD.json.gz'
+AUDIT = ROOT/'research/p104-caller-independent-audit'
+CHECK = 'outputs/p104-caller-route-audit-v2-20261025/check.py'
+EXPECTED_5550 = 'b51a7d19c10faea7d569a48e9536db8ba1e7418f8dd8dfb25646cc87cc9c4009'
+CLIFFORD = ROOT/'research/p104-native-channel/vendor/clifford_exact.py'
+LITERAL = ROOT/'research/p104-native-channel/vendor/native_verify.py'
+DENSE = ROOT/'research/p104-contact-independent-audit/capsule/outputs/p104-native-contact-audit-20261025/check.py'
+PROFILE = {4: 51, 5: 36, 7: 24, 8: 122, 9: 294}
+ADDED = {(17, 720), (17, 782), (615, 207), (775, 207)}
+
+REPLACEMENTS = (
+    ("    word = read(PRIOR/'sources/contact/WORD.json.gz')\n",
+     "    word = read(Path(os.environ['P104_WORD']))\n"
+     "    FREE = json.loads(Path(os.environ['P104_INVOICE']).read_text())\n"),
+    ("helper_profile == Counter({4:51, 5:36, 7:24, 8:122, 9:294})",
+     "helper_profile == Counter({int(k):v for k,v in json.loads(os.environ['P104_PROFILE']).items()})"),
+    ("    costs = source['complete_cost']\n",
+     "    costs = FREE\n"),
+    ("nr['local_routes'] == 5334000 and sum(paid_local.values()) == 3624",
+     "nr['local_routes'] == (sum(paid_local.values())+2*527+208+4*104+4*8)*1000 and sum(paid_local.values()) == int(os.environ['P104_MOVES'])"),
+)
+
+
+def need(ok, why):
+    if not ok:
+        raise ValueError(why)
+
+
+def hashlib_file(path):
+    return sha256(Path(path).read_bytes()).hexdigest()
+
+
+def read(path):
+    raw = Path(path).read_bytes()
+    return json.loads(gzip.decompress(raw) if str(path).endswith('.gz') else raw)
+
+
+def authenticate():
+    for row in json.loads((HERE/'SOURCES.json').read_text())['files']:
+        need(hashlib_file(ROOT/row['path']) == row['sha256'], 'source pin '+row['path'])
+    for name, digest in json.loads((AUDIT/'CAPSULE-INVENTORY.json').read_text())['files'].items():
+        if name.startswith('capsule/'):
+            need(hashlib_file(AUDIT/name) == digest, 'PR5550 capsule byte '+name)
+
+
+# ---------------------------------------------------------------- layer 1: own replay
+def span(basis):
+    s = {0}
+    for v in basis:
+        need(type(v) is int and 0 < v < 512 and v not in s, 'independent binary basis')
+        s |= {x ^ v for x in s}
+    return frozenset(s)
+
+
+def replay(w):
+    S = [span(f) for f in w['frames']]
+    n = w['public']
+    live = set(w['live'])
+    cur = list(w['initial'])+[None]*8
+    rows = [{r: Q(1)} for r in range(n+8)]
+    owned, paid, peak = set(), Counter(), 0
+    for e in w['program']:
+        op, r = e[0], e[1]
+        if op == 'MOVE':
+            a, b, private = e[2], e[3], e[4]
+            need(cur[r] == a and (r in owned) == private, 'transport source and ownership')
+            need(S[b] < S[a] if private else S[a] < S[b], 'strict nesting')
+            paid[abs(len(w['frames'][b])-len(w['frames'][a]))] += 1
+            cur[r] = b
+        elif op == 'INIT':
+            need(r >= n and r not in owned, 'owned initialization')
+            owned.add(r)
+            peak = max(peak, len(owned))
+            rows[r], cur[r] = {}, e[2]
+        elif op == 'CLEAR':
+            need(r in owned and cur[r] == e[2], 'owned erasure')
+            owned.discard(r)
+            rows[r], cur[r] = {}, None
+        else:
+            q, f = Q(e[-2]), e[-1]
+            need(q != 0 and cur[r] == f, 'destination chart')
+            if op == 'SCALE':
+                rows[r] = {k: q*v for k, v in rows[r].items()}
+            else:
+                s = e[2]
+                need(s != r and cur[s] == f, 'common chart')
+                if op == 'COPY':
+                    need(r in owned and not rows[r], 'COPY into cleared owned field')
+                    rows[r] = {k: q*v for k, v in rows[s].items()}
+                else:
+                    need(op == 'ADD', 'opcode')
+                    t = dict(rows[r])
+                    for k, v in rows[s].items():
+                        t[k] = t.get(k, 0)+q*v
+                    rows[r] = {k: v for k, v in t.items() if v}
+    need(not owned and peak == 1 and cur[:n] == w['final'], 'public and owned exits')
+    for r in range(n+8):
+        expected = {r: Q(1)} if r < n else {}
+        if r-112 in live:
+            expected[r-112] = Q(1)
+        need(rows[r] == expected, 'endpoint row %d' % r)
+    main = live | {r+112 for r in live}
+    helpers = Counter(len(w['frames'][w['final'][r]])-len(w['frames'][w['initial'][r]]) for r in range(n) if r not in main)
+    return paid, helpers, S
+
+
+def layer1(new, old):
+    pn, hn, Sn = replay(new)
+    po, ho, So = replay(old)
+    need(hn == ho == Counter(PROFILE), 'helper profile retained')
+    strip = lambda w: [e[:-1] if e[0] in ('ADD', 'COPY', 'SCALE') else e[:2] for e in w['program'] if e[0] != 'MOVE']
+    need(strip(new) == strip(old), 'scalar and owned program identical up to frame labels')
+    sn = [e for e in new['program'] if e[0] != 'MOVE']
+    so = [e for e in old['program'] if e[0] != 'MOVE']
+    edits = Counter(x[0] for x, y in zip(so, sn) if So[x[-1]] != Sn[y[-1]])
+    sites = [[k, x[1], x[2]] for k, (x, y) in enumerate(zip(so, sn)) if x[0] == 'ADD' and So[x[-1]] != Sn[y[-1]]]
+    delta = {r: pn[r]-po[r] for r in sorted(set(pn) | set(po)) if pn[r] != po[r]}
+    need(dict(edits) == {'ADD': 6, 'SCALE': 15}, 'six ADD and fifteen SCALE chart edits')
+    need(delta == {1: 2, 2: -3, 3: 1, 4: -1, 5: 1}, 'local paid delta 2H1-3H2+H3-H4+H5')
+    need(all(So[old[k][r]] == Sn[new[k][r]] for k in ('initial', 'final') for r in range(new['public'])), 'all public endpoint spans retained')
+    return {'paid_local': {str(k): v for k, v in sorted(pn.items())}, 'moves': sum(pn.values()), 'helper_profile': {str(k): v for k, v in sorted(hn.items())},
+            'chart_edits': dict(edits), 'add_sites': sites, 'local_paid_delta': {str(k): v for k, v in delta.items()}, 'endpoint_rows_checked': new['public']+8}
+
+
+# ---------------------------------------------------------------- layer 2: PR5550 caller checker
+def run_checker(work, word_path, invoice, profile, moves):
+    inv = work/'invoice.json'
+    inv.write_text(json.dumps(invoice))
+    env = dict(os.environ, PYTHONDONTWRITEBYTECODE='1', P104_WORD=str(word_path), P104_INVOICE=str(inv),
+               P104_PROFILE=json.dumps(profile), P104_MOVES=str(moves))
+    env.pop('P104_TRACE_FILE', None)
+    command = [sys.executable, '-X', 'pycache_prefix='+str(work/'bytecode')]+(['-O'] if sys.flags.optimize else [])+['-B', str(work/'capsule'/CHECK.replace('check.py', 'check_free.py'))]
+    done = subprocess.run(command, cwd=work/'capsule', env=env, capture_output=True, timeout=300)
+    return done.returncode, done.stdout, done.stderr.decode(errors='replace')
+
+
+def layer2(cost):
+    with tempfile.TemporaryDirectory(prefix='p104-5551-caller-') as tmp:
+        work = Path(tmp)
+        shutil.copytree(AUDIT/'capsule', work/'capsule')
+        text = (work/'capsule'/CHECK).read_text()
+        for old, new in REPLACEMENTS:
+            need(text.count(old) == 1, 'literal present once: '+old.strip()[:60])
+            text = text.replace(old, new)
+        (work/'capsule'/CHECK.replace('check.py', 'check_free.py')).write_text(text)
+        prior = AUDIT/'capsule/outputs/p104-contact-reassessment-20261025/sources/contact'
+        code, out, err = run_checker(work, prior/'WORD.json.gz', read(prior/'RESULT.json')['complete_cost'], PROFILE, 3624)
+        need(code == 0 and not err and sha256(out).hexdigest() == EXPECTED_5550, 'positive control reproduces PR5550 output: '+err[-1500:])
+        code, out, err = run_checker(work, WORD, cost, PROFILE, 3624)
+        need(code == 0 and not err, 'PR5551 caller checker: '+err[-1500:])
+        res = json.loads(out)
+        need(res['status'] == 'PASS_SCOPED_CALLER_AND_TARGET_BINDING' and len(res['controls']) == 10, 'scoped caller status and controls')
+        need(sum(res['paid'].values()) == 69912 and sum(res['targets'].values()) == 12814, 'complete invoice')
+        bad = dict(cost, paid=dict(cost['paid'], **{'1': cost['paid']['1']+1}))
+        code, _, err = run_checker(work, WORD, bad, PROFILE, 3624)
+        need(code != 0 and 'complete unchanged paid/target invoice' in err, 'changed invoice rejected')
+        o = res['ordinary']
+        return {'status': res['status'], 'paid_jobs': 69912, 'productive_fields': 12814, 'fresh_helpers': res['native_checks']['fresh_helpers'],
+                'exact_native_checks': res['native_checks']['distinct_signed_Pauli_and_independent_phase_anchors'],
+                'ordinary_passes': o['abstract_address_phase_scalar_pass_upper'], 'ordinary_allowance': o['retained_raw_scalar_upper'],
+                'positive_control_pr5550_output': EXPECTED_5550, 'output_sha256': sha256(out).hexdigest(), 'changed_invoice': 'rejected'}
+
+
+# ---------------------------------------------------------------- layer 3: dense native inventory
+_M = {}
+
+
+def _load(name, path):
+    spec = importlib.util.spec_from_file_location(name, path)
+    module = importlib.util.module_from_spec(spec)
+    sys.modules[name] = module
+    spec.loader.exec_module(module)
+    return module
+
+
+def _init():
+    _M['C'] = _load('audit5551_clifford', CLIFFORD)
+    _M['V'] = _load('audit5551_literal', LITERAL)
+    _M['D'] = _load('audit5551_dense', DENSE)
+    _M['F'] = read(WORD)['frames']
+
+
+def compare(actual, expected, rank):
+    D = _M['D']
+    a, b = D.compile_circuit(actual), D.compile_circuit(expected)
+    h = sha256()
+    for column in range(512):
+        left, right = D.dense_column(a, column), D.dense_column(b, column)
+        need(left == right, 'exact complex column %d' % column)
+        re, im, d = left
+        need(sum(v*v for v in re)+sum(v*v for v in im) == 1 << (2*d), 'exact column norm')
+        need(sum(bool(x or y) for x, y in zip(re, im)) == 1 << rank, 'measured child rank')
+        h.update(json.dumps([column, d, re, im], separators=(',', ':')).encode())
+    return h.hexdigest()
+
+
+def dense_task(task):
+    C, V, F = _M['C'], _M['V'], _M['F']
+    kind, a, b, q = task
+    if kind in ('move', 'helper'):
+        rec, _ = C.lower_child(C.canonical_frame(9, tuple(F[a])).adjoint().then(C.canonical_frame(9, tuple(F[b]))))
+        rank = abs(len(F[a])-len(F[b]))
+        need(rec['rank'] == rank, 'lowered rank')
+        return [list(task), rank, compare(V.recipe(rec), V.adjoint(V.frame(F[a], 9))+V.frame(F[b], 9), rank)]
+    if kind == 'main_in':
+        op, expected = C.cgate(9, q, 1).adjoint().then(C.canonical_frame(9, tuple(F[a]))), V.adjoint((('C', q, 1),))+V.frame(F[a], 9)
+    else:
+        op, expected = C.canonical_frame(9, tuple(F[a])).adjoint().then(C.cgate(9, q, -1).then(C.fourier(9))), V.adjoint(V.frame(F[a], 9))+(('C', q, -1),)+V.fourier(9)
+    rec, _ = C.lower_child(op)
+    need(rec['rank'] == 0, 'intrinsic adapter is monomial')
+    return [list(task), 0, compare(V.recipe(rec), expected, 0)]
+
+
+def inventory(w):
+    live = set(w['live'])
+    main = live | {r+112 for r in live}
+    moves = sorted({(e[2], e[3]) for e in w['program'] if e[0] == 'MOVE'})
+    helpers = sorted({(w['initial'][r], w['final'][r]) for r in range(w['public']) if r not in main})
+    tasks = [('move', a, b, 0) for a, b in moves]+[('helper', a, b, 0) for a, b in helpers]
+    tasks += [('main_in', w['initial'][r], 0, q) for r, q in zip(w['live'], w['ports'])]
+    tasks += [('main_out', w['final'][r+112], 0, q) for r, q in zip(w['live'], w['ports'])]
+    return tasks
+
+
+def layer3(w, old, full, jobs):
+    tasks = inventory(w)
+    pairs = lambda x: {(e[2], e[3]) for e in x['program'] if e[0] == 'MOVE'}
+    need(sum(t[0] == 'move' for t in tasks) == 2940 and pairs(w)-pairs(old) == ADDED, 'distinct MOVE inventory and the four maps new relative to PR5545')
+    chosen = tasks if full else [t for i, t in enumerate(tasks) if t[0] != 'move' or (t[1], t[2]) in ADDED or i % 32 == 0]
+    if jobs > 1:
+        with Pool(jobs, initializer=_init) as pool:
+            done = pool.map(dense_task, chosen, chunksize=8)
+    else:
+        _init()
+        done = [dense_task(t) for t in chosen]
+    # Controls on one added map: phase-only fault invisible to signed tableaux, wrong child sign.
+    if not _M:
+        _init()
+    C, V, D, F = _M['C'], _M['V'], _M['D'], _M['F']
+    a, b = 615, 207
+    rec, _ = C.lower_child(C.canonical_frame(9, tuple(F[a])).adjoint().then(C.canonical_frame(9, tuple(F[b]))))
+    actual, expected = V.recipe(rec), V.adjoint(V.frame(F[a], 9))+V.frame(F[b], 9)
+    fault = actual+(('phase', 1),)
+    need(V.tableau(fault) == V.tableau(actual) and D.first_difference(fault, expected) is not None, 'phase-only fault rejected densely')
+    flipped = list(actual)
+    i = next(i for i, g in enumerate(flipped) if g[0] == 'C')
+    flipped[i] = ('C', flipped[i][1], -flipped[i][2])
+    need(D.first_difference(tuple(flipped), expected) is not None, 'wrong child sign rejected')
+    record = {'tasks_total': len(tasks), 'tasks_checked': len(done), 'full': full,
+              'kinds': dict(Counter(t[0] for t in chosen)), 'ranks': {str(k): v for k, v in sorted(Counter(d[1] for d in done).items())},
+              'complex_entries_compared': 512*512*len(done), 'controls': {'phase_only_fault': 'rejected', 'wrong_child_sign': 'rejected'}}
+    return record, done
+
+
+# ---------------------------------------------------------------- layer 4: own interval engine
+def layer4(cost):
+    getcontext().prec = 80
+    pad = Decimal(10)**-70
+
+    def power(r, t):
+        v = (t*Decimal(r).ln()).exp()
+        return v*(1-pad), v*(1+pad)
+
+    def margin(k):
+        t, lo, hi = 1-k, Decimal(0), Decimal(0)
+        for r, n in cost['targets'].items():
+            x, y = power(int(r), t)
+            lo, hi = lo+n*x, hi+n*y
+        for r, n in cost['paid'].items():
+            x, y = power(int(r), t)
+            lo, hi = lo-n*y, hi-n*x
+        return lo, hi
+    lo, hi, grid = 0, 10**12, 10**14
+    while hi-lo > 1:
+        m = (lo+hi)//2
+        if margin(Decimal(m)/grid)[0] > 0:
+            lo = m
+        else:
+            hi = m
+    need(margin(Decimal(lo)/grid)[0] > 0 and margin(Decimal(hi)/grid)[1] < 0, 'strict crossing enclosure')
+    author = [Q(x) for x in cost['raw_root_interval']]
+    need(Q(lo, grid) == author[0] and Q(hi, grid) == author[1], 'crossing equals author interval')
+    signs = {k: ('positive' if margin(Decimal(k))[0] > 0 else 'negative' if margin(Decimal(k))[1] < 0 else 'undecided')
+             for k in ('.00304117', '.00304153', '.0030415305', '.00304154')}
+    need(signs == {'.00304117': 'positive', '.00304153': 'positive', '.0030415305': 'positive', '.00304154': 'negative'}, 'claimed/tested signs')
+    return {'raw_crossing': [str(Q(lo, grid)), str(Q(hi, grid))], 'signs': signs,
+            'engine': 'decimal, 80 digits, correctly rounded ln/exp padded by 1e-70 relative; independent of both source engines and the PR5551 funding peer'}
+
+
+def main():
+    full = '--full' in sys.argv
+    jobs = int(sys.argv[sys.argv.index('--jobs')+1]) if '--jobs' in sys.argv else 1
+    authenticate()
+    print('PASS authenticated canonical sources and PR5550 capsule', flush=True)
+    word, old, cost = read(WORD), read(PRED), read(RESULT)['complete_cost']
+    out = {'layer1_replay': layer1(word, old)}
+    print('PASS layer 1 own replay and delta', out['layer1_replay']['chart_edits'], out['layer1_replay']['local_paid_delta'], flush=True)
+    out['layer2_caller'] = layer2(cost)
+    print('PASS layer 2 PR5550 caller checker on PR5551', flush=True)
+    out['layer4_funding'] = layer4(cost)
+    print('PASS layer 4 own interval engine', out['layer4_funding']['raw_crossing'], flush=True)
+    record, done = layer3(word, old, full, jobs)
+    print('PASS layer 3 dense maps', record['tasks_checked'], 'of', record['tasks_total'], flush=True)
+    full_path = HERE/'FULL-CHECK.json'
+    if full and '--write' in sys.argv:
+        full_path.write_text(json.dumps({'schema': 'p104-5551-dense-inventory/1', 'maps': done}, separators=(',', ':'))+'\n')
+    reference = {json.dumps(d[0]): d for d in json.loads(full_path.read_text())['maps']}
+    need(len(reference) == record['tasks_total'], 'FULL-CHECK covers the whole inventory')
+    for d in done:
+        need(reference[json.dumps(d[0])] == d, 'matrix digest equals FULL-CHECK for '+json.dumps(d[0]))
+    out['layer3_dense'] = dict(record, full_check_sha256=hashlib_file(full_path))
+    out['layer3_dense'].pop('tasks_checked')
+    out['layer3_dense'].pop('kinds')
+    out['layer3_dense'].pop('ranks')
+    out['layer3_dense'].pop('complex_entries_compared')
+    out['layer3_dense'].pop('full')
+    if '--write' in sys.argv:
+        (HERE/'RESULT.json').write_text(json.dumps(out, indent=1, sort_keys=True)+'\n')
+    else:
+        need(json.loads(json.dumps(out)) == json.loads((HERE/'RESULT.json').read_text()), 'complete result equals RESULT.json')
+    print('PASS_P104_JOINT_CONTACT_NATIVE_CALLER_AUDIT', 'full' if full else 'subset')
+
+
+if __name__ == '__main__':
+    main()