{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:GG5MXFEOKZVLDP7NVZVAHGYRFP","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f999edf3749eb5e2593f719be44d2674c6ef65af79b8e627211e85b35efa99fe","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-01T20:32:32Z","title_canon_sha256":"c4f916801837e8e4628e72a12dcfa88e97dbc3188c779595c671340a967c6dce"},"schema_version":"1.0","source":{"id":"cond-mat/0105013","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0105013","created_at":"2026-07-04T16:25:29Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0105013v2","created_at":"2026-07-04T16:25:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0105013","created_at":"2026-07-04T16:25:29Z"},{"alias_kind":"pith_short_12","alias_value":"GG5MXFEOKZVL","created_at":"2026-07-04T16:25:29Z"},{"alias_kind":"pith_short_16","alias_value":"GG5MXFEOKZVLDP7N","created_at":"2026-07-04T16:25:29Z"},{"alias_kind":"pith_short_8","alias_value":"GG5MXFEO","created_at":"2026-07-04T16:25:29Z"}],"graph_snapshots":[{"event_id":"sha256:38b735e1b51ea265f14fb7bc5b467dd5a3c77ceee967a72869457bce3eb44556","target":"graph","created_at":"2026-07-04T16:25:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0105013/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the distribution of zeroes of the Jones polynomial $V_K(t)$ for a knot $K$. We have computed numerically the roots of the Jones polynomial for all prime knots with $N\\leq 10$ crossings, and found the zeroes scattered about the unit circle $|t|=1$ with the average distance to the circle approaching a nonzero value as $N$ increases.\n  For torus knots of the type $(m,n)$ we show that all zeroes lie on the unit circle with a uniform density in the limit of either $m$ or $n\\to \\infty$, a fact confirmed by our numerical findings. We have also elucidated the relation connecting the Jones pol","authors_text":"F. Y. Wu, J. Wang","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-01T20:32:32Z","title":"Zeroes of the Jones polynomial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0105013","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:ee669e02c5568822fdd20c71a79a967c6358be57a5818431b6b1a5fe30086950","target":"record","created_at":"2026-07-04T16:25:29Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f999edf3749eb5e2593f719be44d2674c6ef65af79b8e627211e85b35efa99fe","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2001-05-01T20:32:32Z","title_canon_sha256":"c4f916801837e8e4628e72a12dcfa88e97dbc3188c779595c671340a967c6dce"},"schema_version":"1.0","source":{"id":"cond-mat/0105013","kind":"arxiv","version":2}},"canonical_sha256":"31bacb948e566ab1bfedae6a039b112bede95129fc44991381c203cda0ae0eb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31bacb948e566ab1bfedae6a039b112bede95129fc44991381c203cda0ae0eb6","first_computed_at":"2026-07-04T16:25:29.576026Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:25:29.576026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1uPmd+XakJmGIgWtEg1X1jKlGQ1G1zgyxkwHJHnVzTqb/8rCDCQGzVAaA4OkhlZJhNgUh1el2S5IBekKleh7Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:25:29.576448Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0105013","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee669e02c5568822fdd20c71a79a967c6358be57a5818431b6b1a5fe30086950","sha256:38b735e1b51ea265f14fb7bc5b467dd5a3c77ceee967a72869457bce3eb44556"],"state_sha256":"d630ce13fbebf2fb7f1d16d04212fd5345fdf77ddca65790c8c507f204c24ecf"}