{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ZYPPGDGKGW3NI42CZK3UL5DJZH","short_pith_number":"pith:ZYPPGDGK","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"},"canonical_sha256":"ce1ef30cca35b6d47342cab745f469c9cff8d39c10c5cc1dc2741139f7200cd1","source":{"kind":"arxiv","id":"math/0611227","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ZYPPGDGKGW3NI42CZK3UL5DJZH","target":"record","payload":{"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"},"canonical_sha256":"ce1ef30cca35b6d47342cab745f469c9cff8d39c10c5cc1dc2741139f7200cd1","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"},"source_kind":"arxiv","source_id":"math/0611227","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:57:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"22YYg3ev5Yj+kMFH/zQ/izqNnpD0ggABzRwaYabonpmxBHZzRnuohqVg/fMOReIGYrqxvpIfiV+vPb7Jow1xAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:02:35.959744Z"},"content_sha256":"720889280a45449c185f50cec01a0bf825abeb29b8ceb6b5a54fbb6707b7da74","schema_version":"1.0","event_id":"sha256:720889280a45449c185f50cec01a0bf825abeb29b8ceb6b5a54fbb6707b7da74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ZYPPGDGKGW3NI42CZK3UL5DJZH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:57:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BWEN0RchkPx75REQbncS727xmPibAiXVYPaItPBeLlCs034FtPNHmnnGZYqbK7m3WW9bkmvgHfaej97iUpphBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:02:35.960133Z"},"content_sha256":"b0bbff6d7703ef1dde6579b65b39aac51dff76f85a8e56abdd3c21781048d0d5","schema_version":"1.0","event_id":"sha256:b0bbff6d7703ef1dde6579b65b39aac51dff76f85a8e56abdd3c21781048d0d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/bundle.json","state_url":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-04T21:02:35Z","links":{"resolver":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH","bundle":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/bundle.json","state":"https://pith.science/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYPPGDGKGW3NI42CZK3UL5DJZH/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4u/PqCscRBaBbZMgvhnTP1bZM1EnxL2DhuJZ857wYzvJIz/ABCJHlcC5Urxy7lLDw0/A5HonDSB+1dCr0wXyAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T21:02:35.962251Z","bundle_sha256":"23ef8bd5c5ed341b072cc38068091bacf139420dad997ea0432d90a905e09244"}}