{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:ZYPPGDGKGW3NI42CZK3UL5DJZH","short_pith_number":"pith:ZYPPGDGK","schema_version":"1.0","canonical_sha256":"ce1ef30cca35b6d47342cab745f469c9cff8d39c10c5cc1dc2741139f7200cd1","source":{"kind":"arxiv","id":"math/0611227","version":1},"attestation_state":"computed","paper":{"title":"The Chern Character of Semifinite Spectral Triples","license":"","headline":"","cross_cats":["math.KT"],"primary_cat":"math.OA","authors_text":"Adam Rennie, Alan L. Carey, Fyodor A. Sukochev, John Phillips","submitted_at":"2006-11-08T13:19:34Z","abstract_excerpt":"In previous work we generalised both the odd and even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \\A of a general semifinite von Neumann algebra. Our proofs are novel even in the setting of the original theorem and rely on the introduction of a function valued cocycle (called the resolvent cocycle) which is `almost' a (b,B)-cocycle in the cyclic cohomology of \\A. In this paper we show that this resolvent cocycle `almost' represents the Chern character, and assuming analytic continuation properties for zeta functions, we show that the associate"},"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":"math/0611227","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.OA","submitted_at":"2006-11-08T13:19:34Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"13fc80cd6c54ed197cd4117264b9b11a64051301e6280c422d4c83277a8dabfa","abstract_canon_sha256":"4ecefb61bb95e52ad1a3a1ed62b997ca39954fa0365bd17e236182cf6bdaa43c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:57:38.452005Z","signature_b64":"8514wip2RHN/erSRutL/eXIME/C095lO0BcVAzOz1n/ghgse3tMfq7IG6swN+jWSvdXkjuZyVM3RWhFSeMt+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce1ef30cca35b6d47342cab745f469c9cff8d39c10c5cc1dc2741139f7200cd1","last_reissued_at":"2026-07-04T14:57:38.451603Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:57:38.451603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Chern Character of Semifinite Spectral Triples","license":"","headline":"","cross_cats":["math.KT"],"primary_cat":"math.OA","authors_text":"Adam Rennie, Alan L. Carey, Fyodor A. Sukochev, John Phillips","submitted_at":"2006-11-08T13:19:34Z","abstract_excerpt":"In previous work we generalised both the odd and even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \\A of a general semifinite von Neumann algebra. Our proofs are novel even in the setting of the original theorem and rely on the introduction of a function valued cocycle (called the resolvent cocycle) which is `almost' a (b,B)-cocycle in the cyclic cohomology of \\A. In this paper we show that this resolvent cocycle `almost' represents the Chern character, and assuming analytic continuation properties for zeta functions, we show that the associate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611227","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0611227/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":"math/0611227","created_at":"2026-07-04T14:57:38.451678+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0611227v1","created_at":"2026-07-04T14:57:38.451678+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611227","created_at":"2026-07-04T14:57:38.451678+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZYPPGDGKGW3N","created_at":"2026-07-04T14:57:38.451678+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZYPPGDGKGW3NI42C","created_at":"2026-07-04T14:57:38.451678+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZYPPGDGK","created_at":"2026-07-04T14:57:38.451678+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/ZYPPGDGKGW3NI42CZK3UL5DJZH","json":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH.json","graph_json":"https://pith.science/api/pith-number/ZYPPGDGKGW3NI42CZK3UL5DJZH/graph.json","events_json":"https://pith.science/api/pith-number/ZYPPGDGKGW3NI42CZK3UL5DJZH/events.json","paper":"https://pith.science/paper/ZYPPGDGK"},"agent_actions":{"view_html":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH","download_json":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH.json","view_paper":"https://pith.science/paper/ZYPPGDGK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0611227&json=true","fetch_graph":"https://pith.science/api/pith-number/ZYPPGDGKGW3NI42CZK3UL5DJZH/graph.json","fetch_events":"https://pith.science/api/pith-number/ZYPPGDGKGW3NI42CZK3UL5DJZH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/action/storage_attestation","attest_author":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/action/author_attestation","sign_citation":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/action/citation_signature","submit_replication":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/action/replication_record"}},"created_at":"2026-07-04T14:57:38.451678+00:00","updated_at":"2026-07-04T14:57:38.451678+00:00"}