{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QQ6JXDTTWHBI5BBJPN54BGHOS3","short_pith_number":"pith:QQ6JXDTT","schema_version":"1.0","canonical_sha256":"843c9b8e73b1c28e84297b7bc098ee96ea25d510ed7008276a6df74ea83b1de9","source":{"kind":"arxiv","id":"1209.4670","version":1},"attestation_state":"computed","paper":{"title":"On cohomological $C^0$-(in)stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alejandro Kocsard","submitted_at":"2012-09-20T21:12:35Z","abstract_excerpt":"After Katok, a homeomorphism $f\\colon M\\to M$ is said to be cohomologically $C^0$-stable when its space of real $C^0$-coboundaries is closed in $C^0(M)$. In this short note we completely classify cohomologically $C^0$-stable homeomorphisms, showing that periodic homeomorphisms are the only ones."},"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":"1209.4670","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-09-20T21:12:35Z","cross_cats_sorted":[],"title_canon_sha256":"c33d28cad249740aa2fe7110dd0b2a852a8dd1728f9a8f9a78230155a52efb2a","abstract_canon_sha256":"ff4fd42976da639939e2febd179fbab6c384bf0d41d16b84d2fa9a6f1fb53065"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:10.305834Z","signature_b64":"NuWC24UG/drjMkJx2oyU8W+Sn/s/F1f+DLlHzOqngGt5nvIULKYY+w3jDwUp4/gOmPOfHcv/ODcGBkkSXbv1Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"843c9b8e73b1c28e84297b7bc098ee96ea25d510ed7008276a6df74ea83b1de9","last_reissued_at":"2026-05-18T03:45:10.305060Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:10.305060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On cohomological $C^0$-(in)stability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Alejandro Kocsard","submitted_at":"2012-09-20T21:12:35Z","abstract_excerpt":"After Katok, a homeomorphism $f\\colon M\\to M$ is said to be cohomologically $C^0$-stable when its space of real $C^0$-coboundaries is closed in $C^0(M)$. In this short note we completely classify cohomologically $C^0$-stable homeomorphisms, showing that periodic homeomorphisms are the only ones."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4670","kind":"arxiv","version":1},"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":"1209.4670","created_at":"2026-05-18T03:45:10.305206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1209.4670v1","created_at":"2026-05-18T03:45:10.305206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4670","created_at":"2026-05-18T03:45:10.305206+00:00"},{"alias_kind":"pith_short_12","alias_value":"QQ6JXDTTWHBI","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QQ6JXDTTWHBI5BBJ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QQ6JXDTT","created_at":"2026-05-18T12:27:18.751474+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/QQ6JXDTTWHBI5BBJPN54BGHOS3","json":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3.json","graph_json":"https://pith.science/api/pith-number/QQ6JXDTTWHBI5BBJPN54BGHOS3/graph.json","events_json":"https://pith.science/api/pith-number/QQ6JXDTTWHBI5BBJPN54BGHOS3/events.json","paper":"https://pith.science/paper/QQ6JXDTT"},"agent_actions":{"view_html":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3","download_json":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3.json","view_paper":"https://pith.science/paper/QQ6JXDTT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1209.4670&json=true","fetch_graph":"https://pith.science/api/pith-number/QQ6JXDTTWHBI5BBJPN54BGHOS3/graph.json","fetch_events":"https://pith.science/api/pith-number/QQ6JXDTTWHBI5BBJPN54BGHOS3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3/action/storage_attestation","attest_author":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3/action/author_attestation","sign_citation":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3/action/citation_signature","submit_replication":"https://pith.science/pith/QQ6JXDTTWHBI5BBJPN54BGHOS3/action/replication_record"}},"created_at":"2026-05-18T03:45:10.305206+00:00","updated_at":"2026-05-18T03:45:10.305206+00:00"}