{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:6ORPFIZFVLECD35ZZ47CYOBHSF","short_pith_number":"pith:6ORPFIZF","schema_version":"1.0","canonical_sha256":"f3a2f2a325aac821efb9cf3e2c3827914dcb96ef4b1ae7854833da48446a55ca","source":{"kind":"arxiv","id":"1505.07401","version":2},"attestation_state":"computed","paper":{"title":"Heegaard Floer correction terms, with a twist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Marco Golla, Stefan Behrens","submitted_at":"2015-05-27T17:06:41Z","abstract_excerpt":"We use Heegaard Floer homology with twisted coefficients to define numerical invariants for arbitrary closed 3-manifolds equipped torsion spin$^c$ structures, generalising the correction terms (or $d$--invariants) defined by Ozsv\\'ath and Szab\\'o for integer homology 3-spheres and, more generally, for 3-manifolds with standard ${\\rm HF}^\\infty$. Our twisted correction terms share many properties with their untwisted analogues. In particular, they provide restrictions on the topology of 4-manifolds bounding a given 3-manifold."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1505.07401","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-05-27T17:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"885891d0797b8662a79df557b64b21c3ab2999d0ecda2f666a34ec3d307510d1","abstract_canon_sha256":"8fcbf659211a8802b3a1f4eca62a45d761cc54264bde7ba825edf7db62c6d409"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:00.283647Z","signature_b64":"KFjzmme945QBxb3EXRDKy1IxDQkAT97aFoHGZNdDRX7gYho1VwiMI7DW2BZUqNOMuYrBA7Bmd0hUghM75e2dCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3a2f2a325aac821efb9cf3e2c3827914dcb96ef4b1ae7854833da48446a55ca","last_reissued_at":"2026-05-18T01:04:00.283011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:00.283011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heegaard Floer correction terms, with a twist","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Marco Golla, Stefan Behrens","submitted_at":"2015-05-27T17:06:41Z","abstract_excerpt":"We use Heegaard Floer homology with twisted coefficients to define numerical invariants for arbitrary closed 3-manifolds equipped torsion spin$^c$ structures, generalising the correction terms (or $d$--invariants) defined by Ozsv\\'ath and Szab\\'o for integer homology 3-spheres and, more generally, for 3-manifolds with standard ${\\rm HF}^\\infty$. Our twisted correction terms share many properties with their untwisted analogues. In particular, they provide restrictions on the topology of 4-manifolds bounding a given 3-manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07401","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1505.07401","created_at":"2026-05-18T01:04:00.283104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.07401v2","created_at":"2026-05-18T01:04:00.283104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07401","created_at":"2026-05-18T01:04:00.283104+00:00"},{"alias_kind":"pith_short_12","alias_value":"6ORPFIZFVLEC","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"6ORPFIZFVLECD35Z","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"6ORPFIZF","created_at":"2026-05-18T12:29:07.941421+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF","json":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF.json","graph_json":"https://pith.science/api/pith-number/6ORPFIZFVLECD35ZZ47CYOBHSF/graph.json","events_json":"https://pith.science/api/pith-number/6ORPFIZFVLECD35ZZ47CYOBHSF/events.json","paper":"https://pith.science/paper/6ORPFIZF"},"agent_actions":{"view_html":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF","download_json":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF.json","view_paper":"https://pith.science/paper/6ORPFIZF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.07401&json=true","fetch_graph":"https://pith.science/api/pith-number/6ORPFIZFVLECD35ZZ47CYOBHSF/graph.json","fetch_events":"https://pith.science/api/pith-number/6ORPFIZFVLECD35ZZ47CYOBHSF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF/action/storage_attestation","attest_author":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF/action/author_attestation","sign_citation":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF/action/citation_signature","submit_replication":"https://pith.science/pith/6ORPFIZFVLECD35ZZ47CYOBHSF/action/replication_record"}},"created_at":"2026-05-18T01:04:00.283104+00:00","updated_at":"2026-05-18T01:04:00.283104+00:00"}