{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BKVDVX2JEHVVXIPQPIX2BMU37Q","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":"3969285244b0c41359c8cd2e7773987fb4f88d3fb3e9a37f61861b6e93abbf0a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-03-05T16:45:04Z","title_canon_sha256":"52ffe19be1fb56f37d79909dabd0b96221df72d3510f26d20c6d4db310dcc6f8"},"schema_version":"1.0","source":{"id":"1503.01685","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01685","created_at":"2026-05-18T01:19:18Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01685v3","created_at":"2026-05-18T01:19:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01685","created_at":"2026-05-18T01:19:18Z"},{"alias_kind":"pith_short_12","alias_value":"BKVDVX2JEHVV","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BKVDVX2JEHVVXIPQ","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BKVDVX2J","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:bcaf0bf7b44fa5de7d9d2741ce916e92d7b65ef27a5943979d7f9ea945e17767","target":"graph","created_at":"2026-05-18T01:19:18Z","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 outline Hutchings's prescription that produces an ECH analog of Latschev and Wendl's algebraic $k$-torsion in the context of $ech$, a variant of ECH used in a proof of the isomorphism between Heegaard Floer and Seiberg-Witten Floer homologies; and we explain how it translates into Heegaard Floer homology.","authors_text":"Andy Wand, Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-03-05T16:45:04Z","title":"Algebraic torsion via Heegaard Floer homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01685","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":"sha256:7d87111a1979950024f83f9711e1442b7647f377f9459222c572f70f94634499","target":"record","created_at":"2026-05-18T01:19:18Z","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":"3969285244b0c41359c8cd2e7773987fb4f88d3fb3e9a37f61861b6e93abbf0a","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2015-03-05T16:45:04Z","title_canon_sha256":"52ffe19be1fb56f37d79909dabd0b96221df72d3510f26d20c6d4db310dcc6f8"},"schema_version":"1.0","source":{"id":"1503.01685","kind":"arxiv","version":3}},"canonical_sha256":"0aaa3adf4921eb5ba1f07a2fa0b29bfc37694f7be8da9e249866abe1df57f7a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0aaa3adf4921eb5ba1f07a2fa0b29bfc37694f7be8da9e249866abe1df57f7a0","first_computed_at":"2026-05-18T01:19:18.699180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:18.699180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ulnOQmTNXgMRf5lJkmxBASqaP/QBd3LZuqnlneCzHU+Ef1Qd6egR9p+nqqHfiKQ8PEoPGPj9mvfFz90uLjYvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:18.699778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01685","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d87111a1979950024f83f9711e1442b7647f377f9459222c572f70f94634499","sha256:bcaf0bf7b44fa5de7d9d2741ce916e92d7b65ef27a5943979d7f9ea945e17767"],"state_sha256":"81b33ee11e6aa449d14a1ab0235412a55a13e27bc6e16a6d94e9337057de5f9b"}