{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AAG5UCKQZ2TY7M5NHC4ROMZHOQ","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":"b4c61bb40812f30092477f4890365a76779668e20132b09df96b35a2885e56f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-15T12:23:26Z","title_canon_sha256":"93d5b940654d53e3ac183984940721ba2716550217a02b2ed0ab0bed5dbd5fec"},"schema_version":"1.0","source":{"id":"1408.3517","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.3517","created_at":"2026-05-18T01:01:16Z"},{"alias_kind":"arxiv_version","alias_value":"1408.3517v2","created_at":"2026-05-18T01:01:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.3517","created_at":"2026-05-18T01:01:16Z"},{"alias_kind":"pith_short_12","alias_value":"AAG5UCKQZ2TY","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AAG5UCKQZ2TY7M5N","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AAG5UCKQ","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:37c709e13b819c503389ab7543adf79e54326b80b9b114aa6a25a5bed2364279","target":"graph","created_at":"2026-05-18T01:01:16Z","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":"Given an oriented link in the 3-sphere, the Euler characteristic of its link Floer homology is known to coincide with its multivariate Alexander polynomial, an invariant only defined up to a sign and powers of the variables. In this paper, we get rid of this ambiguity by proving that this Euler characteristic is equal to the so-called Conway function, the representative of the multivariate Alexander polynomial introduced by Conway in 1970 and explicitly constructed by Hartley in 1983. This is achieved by creating a model of the Conway function adapted to rectangular diagrams, which is then com","authors_text":"David Cimasoni, Mounir Benheddi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-15T12:23:26Z","title":"Link Floer homology categorifies the Conway function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.3517","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":"sha256:6c87805faa2f1319995c280942a4e9467e788cc55078cad21efd9dbefa7b94c5","target":"record","created_at":"2026-05-18T01:01:16Z","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":"b4c61bb40812f30092477f4890365a76779668e20132b09df96b35a2885e56f8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-15T12:23:26Z","title_canon_sha256":"93d5b940654d53e3ac183984940721ba2716550217a02b2ed0ab0bed5dbd5fec"},"schema_version":"1.0","source":{"id":"1408.3517","kind":"arxiv","version":2}},"canonical_sha256":"000dda0950cea78fb3ad38b9173327743ccbb9b242cea6f60fb106d60a46ffb9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"000dda0950cea78fb3ad38b9173327743ccbb9b242cea6f60fb106d60a46ffb9","first_computed_at":"2026-05-18T01:01:16.232787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:16.232787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aVunmp7ysj25GzfFrLHeeaROrrAftufbfOAYGsu/lG4MnfUtz4VMM4ALYJwmWzRBrwddDnT+aUAzWi1Z3RLdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:16.233488Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.3517","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c87805faa2f1319995c280942a4e9467e788cc55078cad21efd9dbefa7b94c5","sha256:37c709e13b819c503389ab7543adf79e54326b80b9b114aa6a25a5bed2364279"],"state_sha256":"59daf9f74a3d30331238e42567dc3334e60c749557557d1fed7d025f1054e2f8"}