{"slug":"oip-pattern-2-spirals-the-growth-rotation-solution","verification":{"valid":true,"entries":5,"head":"5032c344cbe0827cca1838064229f8397b4765853be94bb4b624281ea40e3b2b"},"energy":{"passes":5,"tokens_in":3792,"tokens_out":2843,"tokens_total":6635,"cost_usd":0,"models":{"claude-fable-5":2,"grok/grok-4.3":1,"scorer":1,"owner":1},"head":"5032c344cbe0827cca1838064229f8397b4765853be94bb4b624281ea40e3b2b"},"provenance":[{"ts":"2026-07-04T04:34:14.278Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"genesis","hash":"bf137050553a03d4d8f16c54aaac84c2598e766ab0d1344ac7ca9095576b3222"},{"ts":"2026-07-04T05:02:10.847Z","model":"claude-fable-5","action":"edit","prompt":"","input":"","response":"","tokens_in":0,"tokens_out":0,"cost":0,"prev":"bf137050553a03d4d8f16c54aaac84c2598e766ab0d1344ac7ca9095576b3222","hash":"3c6a55c060d30a8bd22031ad17a642653d55611c47826c4984678f91afc738b9"},{"ts":"2026-07-07T07:48:52.913Z","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-pattern-2-spirals-the-growth-rotation-solution","response":"{\n  \"claims\": [\n    {\"id\":\"c1\",\"text\":\"A spiral is the locus of a point moving outward from a center at a rate proportional to its angular displacement.\",\"section\":\"## Formal definition\",\"tier\":\"mechanistic\",\"source_ids\":[],\"source_status\":\"unsourced\",\"why_material\":\"Defines the core mathematical object of the pattern.\"},\n    {\"id\":\"c2\",\"text\":\"The spiral solves the problem of packing growing elements into a circular (or spherical) region without overlap, where each new element must be added at the periphery.\",\"section\":\"## Formal definition\",\"tier\":\"mechanistic\",\"source_ids\":[],\"source_status\":\"unsourced\",\"why_material\":\"States the functional problem the pattern addresses.\"},\n    {\"id\":\"c3\",\"text\":\"The optimal spiral achieves maximum packing density for elements of varying size.\",\"section\":\"## Formal definition\",\"tier\":\"mechanistic\",\"source_ids\":[],\"source_status\":\"unsourced\",\"why_material\":\"Specifies the optimality criterion for the pattern.\"},\n    {\"id\":\"c4\",\"text\":\"If a growing structure adds new material at a fixed angular interval while expanding radially, the result is a logarithmic spiral.\",\"section\":\"## Mechanism\",\"tier\":\"mechanistic\",\"source_ids\":[],\"source_status\":\"unsourced\",\"why_material\":\"Describes the generative mechanism producing the spiral form.\"},\n    {\"id\":\"c5\",\"text\":\"The key parameter of spiral formation is the divergence angle, defined as the angular separation between successive elements.\",\"section\":\"## Mechanism\",\"tier\":\"mechanistic\",\"source_ids\":[],\"source_status\":\"unsourced\",\"why_material\":\"Identifies the controlling variable in the mechanism.\"},\n    {\"id\":\"c6\",\"text\":\"Phyllotaxis follows the equations θₙ = n × φ and rₙ = a√n, where φ is the golden angle.\",\"section\":\"## Mathematical load: the Golden Angle and Phyllotaxis\",\"tier\":\"mechanistic\",\"source_ids\":[],\"source_status\":\"unsourced\",\"why_material\":\"Presents the explicit mathematical model for plant spiral packing.\"},\n    {\"id\":\"c7\",\"text\":\"The golden angle φ equals approximately 137.5°,","tokens_in":3792,"tokens_out":2843,"cost":0,"prev":"3c6a55c060d30a8bd22031ad17a642653d55611c47826c4984678f91afc738b9","hash":"f4bb3c0e9b1502b17a8efa6cafa9bd9048d1103a9eed529868aab05721e9c354"},{"ts":"2026-07-07T07:48:53.269Z","model":"scorer","action":"score","prompt":"","input":"oip-pattern-2-spirals-the-growth-rotation-solution","response":"[]","tokens_in":0,"tokens_out":0,"cost":0,"prev":"f4bb3c0e9b1502b17a8efa6cafa9bd9048d1103a9eed529868aab05721e9c354","hash":"0c8892bd72b0946232231bd577b7dd92c475957a80fe5ab774add02ff0fba3ea"},{"ts":"2026-07-17T02:36:24.844Z","model":"owner","action":"voxel_divide","prompt":"","input":"oip-pattern-2-spirals-the-growth-rotation-solution","response":"5 DIVs from body (verbatim, roundtrip-checked)","tokens_in":0,"tokens_out":0,"cost":0,"prev":"0c8892bd72b0946232231bd577b7dd92c475957a80fe5ab774add02ff0fba3ea","hash":"5032c344cbe0827cca1838064229f8397b4765853be94bb4b624281ea40e3b2b"}]}