{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:IIYEWYRRF366Y5R43D5MX5W4DY","short_pith_number":"pith:IIYEWYRR","schema_version":"1.0","canonical_sha256":"42304b62312efdec763cd8facbf6dc1e2109b0c53faa7b6f499334a89db26564","source":{"kind":"arxiv","id":"0901.0381","version":2},"attestation_state":"computed","paper":{"title":"The Atiyah-Patodi-Singer index theorem for Dirac operators over C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.DG","authors_text":"Charlotte Wahl","submitted_at":"2009-01-04T14:00:34Z","abstract_excerpt":"We prove an Atiyah-Patodi-Singer index theorem for Dirac operators twisted by C*-vector bundles. We use it to derive a general product formula for eta-forms and to define and study new rho-invariants generalizing Lott's higher rho-form. The higher Atiyah-Patodi-Singer index theorem of Leichtnam-Piazza can be recovered by applying the theorem to Dirac operators twisted by the Mishenko-Fomenko bundle associated to the reduced C*-algebra of the fundamental group."},"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":"0901.0381","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2009-01-04T14:00:34Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"b9783e27da5e3475a129ad65f232eb60f64009357bc4c27306bd08cd10a0388f","abstract_canon_sha256":"a4f15292a7b6f376168a78a24123eea605e2272074c7c3c0ab5007b8754bff87"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:43.945414Z","signature_b64":"srrXNVGschlM0a8Voqg/4HQS+DHdKizawdnNA1TSRelLMUDERR2d7ktHliiku0bzJAQ/9IDzlG5lG8e45lZbAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42304b62312efdec763cd8facbf6dc1e2109b0c53faa7b6f499334a89db26564","last_reissued_at":"2026-05-18T03:56:43.944878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:43.944878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Atiyah-Patodi-Singer index theorem for Dirac operators over C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.DG","authors_text":"Charlotte Wahl","submitted_at":"2009-01-04T14:00:34Z","abstract_excerpt":"We prove an Atiyah-Patodi-Singer index theorem for Dirac operators twisted by C*-vector bundles. We use it to derive a general product formula for eta-forms and to define and study new rho-invariants generalizing Lott's higher rho-form. The higher Atiyah-Patodi-Singer index theorem of Leichtnam-Piazza can be recovered by applying the theorem to Dirac operators twisted by the Mishenko-Fomenko bundle associated to the reduced C*-algebra of the fundamental group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0381","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":"0901.0381","created_at":"2026-05-18T03:56:43.944964+00:00"},{"alias_kind":"arxiv_version","alias_value":"0901.0381v2","created_at":"2026-05-18T03:56:43.944964+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0381","created_at":"2026-05-18T03:56:43.944964+00:00"},{"alias_kind":"pith_short_12","alias_value":"IIYEWYRRF366","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"IIYEWYRRF366Y5R4","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"IIYEWYRR","created_at":"2026-05-18T12:26:00.592388+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/IIYEWYRRF366Y5R43D5MX5W4DY","json":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY.json","graph_json":"https://pith.science/api/pith-number/IIYEWYRRF366Y5R43D5MX5W4DY/graph.json","events_json":"https://pith.science/api/pith-number/IIYEWYRRF366Y5R43D5MX5W4DY/events.json","paper":"https://pith.science/paper/IIYEWYRR"},"agent_actions":{"view_html":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY","download_json":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY.json","view_paper":"https://pith.science/paper/IIYEWYRR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0901.0381&json=true","fetch_graph":"https://pith.science/api/pith-number/IIYEWYRRF366Y5R43D5MX5W4DY/graph.json","fetch_events":"https://pith.science/api/pith-number/IIYEWYRRF366Y5R43D5MX5W4DY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY/action/storage_attestation","attest_author":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY/action/author_attestation","sign_citation":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY/action/citation_signature","submit_replication":"https://pith.science/pith/IIYEWYRRF366Y5R43D5MX5W4DY/action/replication_record"}},"created_at":"2026-05-18T03:56:43.944964+00:00","updated_at":"2026-05-18T03:56:43.944964+00:00"}