{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:VH5ILGV7CDPQAF5LJ77JWYACCM","short_pith_number":"pith:VH5ILGV7","schema_version":"1.0","canonical_sha256":"a9fa859abf10df0017ab4ffe9b6002131a12997bd1085f85f3a874a96e06a7f6","source":{"kind":"arxiv","id":"1601.05445","version":2},"attestation_state":"computed","paper":{"title":"Ulam stability for some classes of C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Alessandro Vignati, Paul McKenney","submitted_at":"2016-01-20T21:36:57Z","abstract_excerpt":"We prove some stability results for certain classes of C*-algebras. We prove that whenever $A$ is a finite-dimensional C*-algebra, $B$ is a C*-algebra and $\\phi\\colon A\\to B$ is approximately a $^*$-homomorphism then there is an actual $^*$-homomorphism close to $\\phi$ by a factor depending only on how far is $\\phi$ from being a $^*$-homomorphism and not on $A$ or $B$."},"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":"1601.05445","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2016-01-20T21:36:57Z","cross_cats_sorted":[],"title_canon_sha256":"e7f4c8a9e1083a147816c034d5bf9c7a6bb883e37ec2e71568c046fbac92028a","abstract_canon_sha256":"7838cf0ee7c8b49cf6c6eb375c883708d006d474de785e4893946a27c77b8bbd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:38.516556Z","signature_b64":"sypRXoN/oeqhSlBpW8C+qhayW5WYQkReX46/NKXgXhmxlCk4FII7GBzhmYxXzGLWMGCBfiFPcGk/HkzSx3CECQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9fa859abf10df0017ab4ffe9b6002131a12997bd1085f85f3a874a96e06a7f6","last_reissued_at":"2026-05-18T01:11:38.516190Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:38.516190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ulam stability for some classes of C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Alessandro Vignati, Paul McKenney","submitted_at":"2016-01-20T21:36:57Z","abstract_excerpt":"We prove some stability results for certain classes of C*-algebras. We prove that whenever $A$ is a finite-dimensional C*-algebra, $B$ is a C*-algebra and $\\phi\\colon A\\to B$ is approximately a $^*$-homomorphism then there is an actual $^*$-homomorphism close to $\\phi$ by a factor depending only on how far is $\\phi$ from being a $^*$-homomorphism and not on $A$ or $B$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05445","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":"1601.05445","created_at":"2026-05-18T01:11:38.516252+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.05445v2","created_at":"2026-05-18T01:11:38.516252+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05445","created_at":"2026-05-18T01:11:38.516252+00:00"},{"alias_kind":"pith_short_12","alias_value":"VH5ILGV7CDPQ","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"VH5ILGV7CDPQAF5L","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"VH5ILGV7","created_at":"2026-05-18T12:30:48.956258+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/VH5ILGV7CDPQAF5LJ77JWYACCM","json":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM.json","graph_json":"https://pith.science/api/pith-number/VH5ILGV7CDPQAF5LJ77JWYACCM/graph.json","events_json":"https://pith.science/api/pith-number/VH5ILGV7CDPQAF5LJ77JWYACCM/events.json","paper":"https://pith.science/paper/VH5ILGV7"},"agent_actions":{"view_html":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM","download_json":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM.json","view_paper":"https://pith.science/paper/VH5ILGV7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.05445&json=true","fetch_graph":"https://pith.science/api/pith-number/VH5ILGV7CDPQAF5LJ77JWYACCM/graph.json","fetch_events":"https://pith.science/api/pith-number/VH5ILGV7CDPQAF5LJ77JWYACCM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM/action/storage_attestation","attest_author":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM/action/author_attestation","sign_citation":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM/action/citation_signature","submit_replication":"https://pith.science/pith/VH5ILGV7CDPQAF5LJ77JWYACCM/action/replication_record"}},"created_at":"2026-05-18T01:11:38.516252+00:00","updated_at":"2026-05-18T01:11:38.516252+00:00"}