{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JKUQY5XNOA7RW33AZTOYF66AH2","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":"741f88904a0f79db2ebb0aff0edfb9fab3af2dce8f5d0229f03bcee3a88de2c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-06-19T08:41:14Z","title_canon_sha256":"d54e7102d917fbd4209701dc193ecdebd15ddf2d15e602ede130e9912d4ce636"},"schema_version":"1.0","source":{"id":"1506.05912","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.05912","created_at":"2026-05-18T01:25:46Z"},{"alias_kind":"arxiv_version","alias_value":"1506.05912v2","created_at":"2026-05-18T01:25:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.05912","created_at":"2026-05-18T01:25:46Z"},{"alias_kind":"pith_short_12","alias_value":"JKUQY5XNOA7R","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JKUQY5XNOA7RW33A","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JKUQY5XN","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:71139e63665aebc58376fbb90692abecc11108cefd176cdd636bd66289e01c3b","target":"graph","created_at":"2026-05-18T01:25:46Z","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"},"paper":{"abstract_excerpt":"This paper gives a connection between well chosen reductions of the Links-Gould invariants of oriented links and powers of the Alexander-Conway polynomial. We prove these formulas by showing the representations of the braid groups we derive the specialized Links-Gould polynomials from can be seen as exterior powers of copies of Burau representations.","authors_text":"Ben-Michael Kohli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-06-19T08:41:14Z","title":"On the Links-Gould invariant and the square of the Alexander polynomial"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.05912","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":"sha256:297983a6c3ae776d935180d5ef240d0d9155c2e11f5ad0474d70c0991af68374","target":"record","created_at":"2026-05-18T01:25:46Z","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":"741f88904a0f79db2ebb0aff0edfb9fab3af2dce8f5d0229f03bcee3a88de2c2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-06-19T08:41:14Z","title_canon_sha256":"d54e7102d917fbd4209701dc193ecdebd15ddf2d15e602ede130e9912d4ce636"},"schema_version":"1.0","source":{"id":"1506.05912","kind":"arxiv","version":2}},"canonical_sha256":"4aa90c76ed703f1b6f60ccdd82fbc03e8b0bcfe3d8add7ad44221b0dbb4d822d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4aa90c76ed703f1b6f60ccdd82fbc03e8b0bcfe3d8add7ad44221b0dbb4d822d","first_computed_at":"2026-05-18T01:25:46.924382Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:46.924382Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"25ZS6KDKmjLdmV5H8hZByn+aIy3XV+fbtQ1nVwRWwLk/f676Ob+WKW7+9mOXpwr05XvROpScQyY6FDJo8tpWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:46.924870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.05912","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:297983a6c3ae776d935180d5ef240d0d9155c2e11f5ad0474d70c0991af68374","sha256:71139e63665aebc58376fbb90692abecc11108cefd176cdd636bd66289e01c3b"],"state_sha256":"c9e4c91e005eb69f5a341a868a391b93cbcea53f64e4b73fb8f398a329eeb092"}