{"slug":"oip-node-c17-spirals-logarithmic-growth-packing","verification":{"valid":true,"entries":5,"head":"d810aee9b2debb1c66e110670bb16d4ca8f9f30d76dbaeb75f96178f58a77293"},"energy":{"passes":5,"tokens_in":3427,"tokens_out":2459,"tokens_total":5886,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"d810aee9b2debb1c66e110670bb16d4ca8f9f30d76dbaeb75f96178f58a77293"},"provenance":[{"ts":"2026-07-04T04:34:06.626Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"f5cb5b5876e237fffe703af63044412fdb8b8798625df9c90e01a53ce7356212"},{"ts":"2026-07-04T05:02:03.307Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"f5cb5b5876e237fffe703af63044412fdb8b8798625df9c90e01a53ce7356212","hash":"47350ee6de11eb5ac77e3205e6c9e2ada28734ea20957fd38efed4e6faea2ddd"},{"ts":"2026-07-07T07:54:49.962Z","model":"grok/grok-4.3","action":"atomize","prompt":"You are the claim atomizer for the miscsubjects.com philosophy and OIP corpus. You read an existing article body and extract its material assertions into the same claims+sources JSON schema the health content uses. The body is read-only input.\n\nALWAYS:\n- Extract every material assertion as one atomic claim, tied to the ## section it came from.\n- Tier honestly: human = empirically established; mechanistic = formally proven or mathematical; anecdotal = historical or textual attribution; speculative = metaphysical or interpretive.\n- Attach real sources (primary works, papers, books) with exact quotes only where you can verify them; otherwise mark the claim unsourced.\n- Prefer fewer, harder claims over many soft ones.\n\nNEVER:\n- Never rewrite, summarize, or output the body.\n- Never invent a URL, quote, or publication.\n- Never duplicate an existing claim text.","input":"atomize oip-node-c17-spirals-logarithmic-growth-packing","response":"{\n  \"claims\": [\n    {\n      \"id\": \"c1\",\n      \"text\": \"Growing systems packing elements into a circular region converge on spiral arrangements with the golden angle (~137.5 degrees); this minimizes overlap and maximizes exposure across scales.\",\n      \"section\": \"## C17 — Spirals / Logarithmic Growth-Packing\",\n      \"tier\": \"human\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Core empirical pattern asserted across multiple domains and scales.\"\n    },\n    {\n      \"id\": \"c2\",\n      \"text\": \"The golden angle equals 2π(1-φ) ≈ 137.5°, where φ = (1+√5)/2, and φ has the slowest-converging continued fraction.\",\n      \"section\": \"## C17 — Spirals / Logarithmic Growth-Packing\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Mathematical definition of the angle and its irrationality property.\"\n    },\n    {\n      \"id\": \"c3\",\n      \"text\": \"In phyllotaxis, primordia emerge at the meristem with the golden angle, producing Fibonacci-numbered spirals.\",\n      \"section\": \"## C17 — Spirals / Logarithmic Growth-Packing\",\n      \"tier\": \"human\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Specific biological mechanism linking angle to observed spiral counts.\"\n    },\n    {\n      \"id\": \"c4\",\n      \"text\": \"In galaxies, density waves drive spiral structure through differential rotation.\",\n      \"section\": \"## C17 — Spirals / Logarithmic Growth-Packing\",\n      \"tier\": \"mechanistic\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Astronomical mechanism asserted for the same geometry.\"\n    },\n    {\n      \"id\": \"c5\",\n      \"text\": \"The pattern spans scales from 10^-3 m (pinecone) to 10^21 m (galaxy), a range of 24 orders of magnitude.\",\n      \"section\": \"## C17 — Spirals / Logarithmic Growth-Packing\",\n      \"tier\": \"human\",\n      \"source_ids\": [],\n      \"source_status\": \"unsourced\",\n      \"why_material\": \"Quantified c","tokens_in":3427,"tokens_out":2459,"cost":0,"prev":"47350ee6de11eb5ac77e3205e6c9e2ada28734ea20957fd38efed4e6faea2ddd","hash":"ac8976e10180c0bb34eb378d7cab3fd4638dec073374afdd50199fc472e84e62"},{"ts":"2026-07-07T07:54:50.282Z","model":"scorer","action":"score","prompt":"","input":"oip-node-c17-spirals-logarithmic-growth-packing","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"ac8976e10180c0bb34eb378d7cab3fd4638dec073374afdd50199fc472e84e62","hash":"a31efd2a87c124709e6ca69b491378448e563981d77909ab03d7d671e0e8c485"},{"ts":"2026-07-17T02:36:21.857Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-node-c17-spirals-logarithmic-growth-packing","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"a31efd2a87c124709e6ca69b491378448e563981d77909ab03d7d671e0e8c485","hash":"d810aee9b2debb1c66e110670bb16d4ca8f9f30d76dbaeb75f96178f58a77293"}]}