{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:YYZLU3IBWLU4N4JKGKLDN2PUT2","short_pith_number":"pith:YYZLU3IB","schema_version":"1.0","canonical_sha256":"c632ba6d01b2e9c6f12a329636e9f49ebb2cb7ecd3b3f367e34d121193863e87","source":{"kind":"arxiv","id":"0801.0564","version":2},"attestation_state":"computed","paper":{"title":"Hamiltonian handleslides for Heegaard Floer homology","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Timothy Perutz","submitted_at":"2008-01-03T16:59:18Z","abstract_excerpt":"A $g$-tuple of disjoint, linearly independent circles in a Riemann surface of genus $g$ determines a `Heegaard torus' in its $g$-fold symmetric product. Changing the circles by a handleslide produces a new torus. It is proved that, for symplectic forms with certain properties, these two tori are Hamiltonian-isotopic Lagrangian submanifolds. This provides an alternative route to the handleslide-invariance of Ozsvath-Szabo's Heegaard Floer homology."},"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":"0801.0564","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.SG","submitted_at":"2008-01-03T16:59:18Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"494b331efe3ffb07b8b2d9c7c5cfe2a1378b57197040ae6871af67906f8e19c7","abstract_canon_sha256":"2fe8f3163510b234594ff878924ee0824d62eccb46e4c2a0106d052904fc9345"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:09:49.020551Z","signature_b64":"xHn6WCpl2f3BwLHBR2IEGPNOKIjOfDe/27cmG45j1AKCbUjO4+8RcMXhyuarp6qHBgyPbiiA9MkU1Ia8ZhgTDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c632ba6d01b2e9c6f12a329636e9f49ebb2cb7ecd3b3f367e34d121193863e87","last_reissued_at":"2026-07-04T15:09:49.020130Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:09:49.020130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hamiltonian handleslides for Heegaard Floer homology","license":"","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Timothy Perutz","submitted_at":"2008-01-03T16:59:18Z","abstract_excerpt":"A $g$-tuple of disjoint, linearly independent circles in a Riemann surface of genus $g$ determines a `Heegaard torus' in its $g$-fold symmetric product. Changing the circles by a handleslide produces a new torus. It is proved that, for symplectic forms with certain properties, these two tori are Hamiltonian-isotopic Lagrangian submanifolds. This provides an alternative route to the handleslide-invariance of Ozsvath-Szabo's Heegaard Floer homology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0801.0564","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0801.0564/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":"0801.0564","created_at":"2026-07-04T15:09:49.020194+00:00"},{"alias_kind":"arxiv_version","alias_value":"0801.0564v2","created_at":"2026-07-04T15:09:49.020194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0801.0564","created_at":"2026-07-04T15:09:49.020194+00:00"},{"alias_kind":"pith_short_12","alias_value":"YYZLU3IBWLU4","created_at":"2026-07-04T15:09:49.020194+00:00"},{"alias_kind":"pith_short_16","alias_value":"YYZLU3IBWLU4N4JK","created_at":"2026-07-04T15:09:49.020194+00:00"},{"alias_kind":"pith_short_8","alias_value":"YYZLU3IB","created_at":"2026-07-04T15:09:49.020194+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/YYZLU3IBWLU4N4JKGKLDN2PUT2","json":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2.json","graph_json":"https://pith.science/api/pith-number/YYZLU3IBWLU4N4JKGKLDN2PUT2/graph.json","events_json":"https://pith.science/api/pith-number/YYZLU3IBWLU4N4JKGKLDN2PUT2/events.json","paper":"https://pith.science/paper/YYZLU3IB"},"agent_actions":{"view_html":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2","download_json":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2.json","view_paper":"https://pith.science/paper/YYZLU3IB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0801.0564&json=true","fetch_graph":"https://pith.science/api/pith-number/YYZLU3IBWLU4N4JKGKLDN2PUT2/graph.json","fetch_events":"https://pith.science/api/pith-number/YYZLU3IBWLU4N4JKGKLDN2PUT2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2/action/storage_attestation","attest_author":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2/action/author_attestation","sign_citation":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2/action/citation_signature","submit_replication":"https://pith.science/pith/YYZLU3IBWLU4N4JKGKLDN2PUT2/action/replication_record"}},"created_at":"2026-07-04T15:09:49.020194+00:00","updated_at":"2026-07-04T15:09:49.020194+00:00"}