{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:PDBLLQBH77ITOSWTRH6MG75AOU","short_pith_number":"pith:PDBLLQBH","schema_version":"1.0","canonical_sha256":"78c2b5c027ffd1374ad389fcc37fa075302fc1c4f5e20e56405390e97e126e24","source":{"kind":"arxiv","id":"2212.02004","version":2},"attestation_state":"computed","paper":{"title":"3-Spheres in the 4-Sphere and Pseudo-Isotopies of $S^1\\times S^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"David Gabai","submitted_at":"2022-12-05T03:28:10Z","abstract_excerpt":"We offer an approach to the smooth 4-dimensional Schoenflies conjecture via pseudo-isotopy theory."},"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":"2212.02004","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-12-05T03:28:10Z","cross_cats_sorted":[],"title_canon_sha256":"677ce299dbcf6d031cae2ff9fd077f10a5d8af1faff14d7dd9bf21eaf7db6034","abstract_canon_sha256":"3d26ffdaee4450a6bbded81ac097658b00ad8ee546452c8d9b8f72f2d0cacc4b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:24:35.525377Z","signature_b64":"nQ1J9ydBxiN50malfViWmkWmbiDxjt4k0OngEErPTUiOuwPFswVn5+sciJiancv3CxCvr0ocVYNpkR9g/SOcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78c2b5c027ffd1374ad389fcc37fa075302fc1c4f5e20e56405390e97e126e24","last_reissued_at":"2026-07-05T08:24:35.524863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:24:35.524863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"3-Spheres in the 4-Sphere and Pseudo-Isotopies of $S^1\\times S^3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"David Gabai","submitted_at":"2022-12-05T03:28:10Z","abstract_excerpt":"We offer an approach to the smooth 4-dimensional Schoenflies conjecture via pseudo-isotopy theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.02004","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/2212.02004/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":"2212.02004","created_at":"2026-07-05T08:24:35.524932+00:00"},{"alias_kind":"arxiv_version","alias_value":"2212.02004v2","created_at":"2026-07-05T08:24:35.524932+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.02004","created_at":"2026-07-05T08:24:35.524932+00:00"},{"alias_kind":"pith_short_12","alias_value":"PDBLLQBH77IT","created_at":"2026-07-05T08:24:35.524932+00:00"},{"alias_kind":"pith_short_16","alias_value":"PDBLLQBH77ITOSWT","created_at":"2026-07-05T08:24:35.524932+00:00"},{"alias_kind":"pith_short_8","alias_value":"PDBLLQBH","created_at":"2026-07-05T08:24:35.524932+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.16984","citing_title":"Smoothing topological pseudo-isotopies of 4-manifolds","ref_index":2022,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU","json":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU.json","graph_json":"https://pith.science/api/pith-number/PDBLLQBH77ITOSWTRH6MG75AOU/graph.json","events_json":"https://pith.science/api/pith-number/PDBLLQBH77ITOSWTRH6MG75AOU/events.json","paper":"https://pith.science/paper/PDBLLQBH"},"agent_actions":{"view_html":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU","download_json":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU.json","view_paper":"https://pith.science/paper/PDBLLQBH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2212.02004&json=true","fetch_graph":"https://pith.science/api/pith-number/PDBLLQBH77ITOSWTRH6MG75AOU/graph.json","fetch_events":"https://pith.science/api/pith-number/PDBLLQBH77ITOSWTRH6MG75AOU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU/action/storage_attestation","attest_author":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU/action/author_attestation","sign_citation":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU/action/citation_signature","submit_replication":"https://pith.science/pith/PDBLLQBH77ITOSWTRH6MG75AOU/action/replication_record"}},"created_at":"2026-07-05T08:24:35.524932+00:00","updated_at":"2026-07-05T08:24:35.524932+00:00"}