{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:SZYH4D7CP3FDPX7GCGNXUVGUBE","short_pith_number":"pith:SZYH4D7C","schema_version":"1.0","canonical_sha256":"96707e0fe27eca37dfe6119b7a54d4092504e3532157b005357523e075c184ed","source":{"kind":"arxiv","id":"2111.14962","version":4},"attestation_state":"computed","paper":{"title":"The equivalence of lattice and Heegaard Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ian Zemke","submitted_at":"2021-11-29T21:15:12Z","abstract_excerpt":"We prove N\\'{e}methi's conjecture: if $Y$ is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles over $S^2$, then the lattice homology of $Y$ coincides with the Heegaard Floer homology of $Y$. We also give a conjectural description of the $H_1(Y)/\\mathrm{Tors}$ action when $b_1(Y)>0$."},"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":"2111.14962","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2021-11-29T21:15:12Z","cross_cats_sorted":[],"title_canon_sha256":"23a2971075faf21536eafdc554d8abc87bd436e47b5d0ae7496e871fda4adbe3","abstract_canon_sha256":"51d0d37e25739211865bd95c46878242d88fe29b8f3bf9a3e0ef960626c1bbea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:45:19.306362Z","signature_b64":"aUTStgxLjeK5XA3nWp135Y8NhY0O5nDeciaXh9v51Je2wI/HX5GzA2IfzWAQhJ87tV3abDUJkXnVTX50DVo0AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96707e0fe27eca37dfe6119b7a54d4092504e3532157b005357523e075c184ed","last_reissued_at":"2026-07-05T08:45:19.305885Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:45:19.305885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The equivalence of lattice and Heegaard Floer homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ian Zemke","submitted_at":"2021-11-29T21:15:12Z","abstract_excerpt":"We prove N\\'{e}methi's conjecture: if $Y$ is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles over $S^2$, then the lattice homology of $Y$ coincides with the Heegaard Floer homology of $Y$. We also give a conjectural description of the $H_1(Y)/\\mathrm{Tors}$ action when $b_1(Y)>0$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14962","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2111.14962/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2111.14962","created_at":"2026-07-05T08:45:19.305963+00:00"},{"alias_kind":"arxiv_version","alias_value":"2111.14962v4","created_at":"2026-07-05T08:45:19.305963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14962","created_at":"2026-07-05T08:45:19.305963+00:00"},{"alias_kind":"pith_short_12","alias_value":"SZYH4D7CP3FD","created_at":"2026-07-05T08:45:19.305963+00:00"},{"alias_kind":"pith_short_16","alias_value":"SZYH4D7CP3FDPX7G","created_at":"2026-07-05T08:45:19.305963+00:00"},{"alias_kind":"pith_short_8","alias_value":"SZYH4D7C","created_at":"2026-07-05T08:45:19.305963+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2501.08750","citing_title":"On $h$-cobordisms of complexity $2$","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE","json":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE.json","graph_json":"https://pith.science/api/pith-number/SZYH4D7CP3FDPX7GCGNXUVGUBE/graph.json","events_json":"https://pith.science/api/pith-number/SZYH4D7CP3FDPX7GCGNXUVGUBE/events.json","paper":"https://pith.science/paper/SZYH4D7C"},"agent_actions":{"view_html":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE","download_json":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE.json","view_paper":"https://pith.science/paper/SZYH4D7C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2111.14962&json=true","fetch_graph":"https://pith.science/api/pith-number/SZYH4D7CP3FDPX7GCGNXUVGUBE/graph.json","fetch_events":"https://pith.science/api/pith-number/SZYH4D7CP3FDPX7GCGNXUVGUBE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE/action/storage_attestation","attest_author":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE/action/author_attestation","sign_citation":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE/action/citation_signature","submit_replication":"https://pith.science/pith/SZYH4D7CP3FDPX7GCGNXUVGUBE/action/replication_record"}},"created_at":"2026-07-05T08:45:19.305963+00:00","updated_at":"2026-07-05T08:45:19.305963+00:00"}