{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ZYPPGDGKGW3NI42CZK3UL5DJZH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"4ecefb61bb95e52ad1a3a1ed62b997ca39954fa0365bd17e236182cf6bdaa43c","cross_cats_sorted":["math.KT"],"license":"","primary_cat":"math.OA","submitted_at":"2006-11-08T13:19:34Z","title_canon_sha256":"13fc80cd6c54ed197cd4117264b9b11a64051301e6280c422d4c83277a8dabfa"},"schema_version":"1.0","source":{"id":"math/0611227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0611227","created_at":"2026-07-04T14:57:38Z"},{"alias_kind":"arxiv_version","alias_value":"math/0611227v1","created_at":"2026-07-04T14:57:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0611227","created_at":"2026-07-04T14:57:38Z"},{"alias_kind":"pith_short_12","alias_value":"ZYPPGDGKGW3N","created_at":"2026-07-04T14:57:38Z"},{"alias_kind":"pith_short_16","alias_value":"ZYPPGDGKGW3NI42C","created_at":"2026-07-04T14:57:38Z"},{"alias_kind":"pith_short_8","alias_value":"ZYPPGDGK","created_at":"2026-07-04T14:57:38Z"}],"graph_snapshots":[{"event_id":"sha256:b0bbff6d7703ef1dde6579b65b39aac51dff76f85a8e56abdd3c21781048d0d5","target":"graph","created_at":"2026-07-04T14:57:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0611227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","authors_text":"Adam Rennie, Alan L. Carey, Fyodor A. Sukochev, John Phillips","cross_cats":["math.KT"],"headline":"","license":"","primary_cat":"math.OA","submitted_at":"2006-11-08T13:19:34Z","title":"The Chern Character of Semifinite Spectral Triples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0611227","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:720889280a45449c185f50cec01a0bf825abeb29b8ceb6b5a54fbb6707b7da74","target":"record","created_at":"2026-07-04T14:57:38Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"4ecefb61bb95e52ad1a3a1ed62b997ca39954fa0365bd17e236182cf6bdaa43c","cross_cats_sorted":["math.KT"],"license":"","primary_cat":"math.OA","submitted_at":"2006-11-08T13:19:34Z","title_canon_sha256":"13fc80cd6c54ed197cd4117264b9b11a64051301e6280c422d4c83277a8dabfa"},"schema_version":"1.0","source":{"id":"math/0611227","kind":"arxiv","version":1}},"canonical_sha256":"ce1ef30cca35b6d47342cab745f469c9cff8d39c10c5cc1dc2741139f7200cd1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce1ef30cca35b6d47342cab745f469c9cff8d39c10c5cc1dc2741139f7200cd1","first_computed_at":"2026-07-04T14:57:38.451603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:57:38.451603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8514wip2RHN/erSRutL/eXIME/C095lO0BcVAzOz1n/ghgse3tMfq7IG6swN+jWSvdXkjuZyVM3RWhFSeMt+Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:57:38.452005Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0611227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:720889280a45449c185f50cec01a0bf825abeb29b8ceb6b5a54fbb6707b7da74","sha256:b0bbff6d7703ef1dde6579b65b39aac51dff76f85a8e56abdd3c21781048d0d5"],"state_sha256":"0c9e1cb0c54c948e5fba592c61340331fb637e40fcfa23f9f20f2884e94dc98e"}