{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:E42JGTARMHHFPBNILK6WWLNERZ","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":"e28b47a08fbaf2b9753f423be5d2dd7434fd89128f517c5dce321ca3113c220b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-12T08:54:29Z","title_canon_sha256":"97c2a2714c2ef9bd0816f108a7b728a299a55534e2bb1dbc3da04f593030d30c"},"schema_version":"1.0","source":{"id":"1708.03754","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03754","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03754v3","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03754","created_at":"2026-05-18T00:22:33Z"},{"alias_kind":"pith_short_12","alias_value":"E42JGTARMHHF","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"E42JGTARMHHFPBNI","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"E42JGTAR","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:725417263fc5dd65455c81058269a50cd8cb7534e439623f0544bb92eae9ab98","target":"graph","created_at":"2026-05-18T00:22:33Z","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":"We show that the $\\mathbb{Q}/\\mathbb{Z}$-valued linking forms on rational homology spheres are (anti-) symmetric and we compute the linking form of a 3-dimensional rational homology sphere in terms of a Heegaard splitting. Both results have been known to a larger or lesser degree, but it is difficult to find rigorous down-to-earth proofs in the literature.","authors_text":"Anthony Conway, Gerrit Herrmann, Stefan Friedl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-12T08:54:29Z","title":"Linking forms revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03754","kind":"arxiv","version":3},"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:b3e285bf73706f00b72d628917e2189f7b6c8d24014588d4f32e57b0002d377e","target":"record","created_at":"2026-05-18T00:22:33Z","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":"e28b47a08fbaf2b9753f423be5d2dd7434fd89128f517c5dce321ca3113c220b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-08-12T08:54:29Z","title_canon_sha256":"97c2a2714c2ef9bd0816f108a7b728a299a55534e2bb1dbc3da04f593030d30c"},"schema_version":"1.0","source":{"id":"1708.03754","kind":"arxiv","version":3}},"canonical_sha256":"2734934c1161ce5785a85abd6b2da48e4a2b582d984dc5b293f404c8774ebe23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2734934c1161ce5785a85abd6b2da48e4a2b582d984dc5b293f404c8774ebe23","first_computed_at":"2026-05-18T00:22:33.264570Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:33.264570Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NW4u+xzOg51pc8EJ9CVIlpcVdOtaqSot4bx8dJaSJyu8RFBYopTVdAXGHimJxv0slbu4+ZcBcmTevuqXougEBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:33.265063Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03754","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3e285bf73706f00b72d628917e2189f7b6c8d24014588d4f32e57b0002d377e","sha256:725417263fc5dd65455c81058269a50cd8cb7534e439623f0544bb92eae9ab98"],"state_sha256":"a62a4fc8ce1cfcb17d6dc3da287dd964791a6daef8340a3ee26e31c2773a8941"}