{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:QWE3MB3VWFI6ZZGRZ4KBG6XLLG","short_pith_number":"pith:QWE3MB3V","schema_version":"1.0","canonical_sha256":"8589b60775b151ece4d1cf14137aeb59a94a5c5e3f82c4f7253134b2271789a2","source":{"kind":"arxiv","id":"0912.0194","version":3},"attestation_state":"computed","paper":{"title":"Connes-Chern character for manifolds with boundary and eta cochains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.OA","authors_text":"Henri Moscovici, Markus J. Pflaum, Matthias Lesch","submitted_at":"2009-12-01T16:55:22Z","abstract_excerpt":"We express the Connes-Chern character of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off pa- rameter. Blowing-up the metric one recovers the pair of characteristic currents that represent the corresponding de Rham relative homology class, while the blow-down yields a relative cocycle whose expression involves higher eta cochains and their b-analogues. The corresponding pairing formulae with relative K-theory classes capture information about the boundary and allo"},"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":"0912.0194","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2009-12-01T16:55:22Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"432ecfbf14fedff2d6435819cdb4f81811739709f3d9d3145ca594a11c532dae","abstract_canon_sha256":"d0091bf9ac861af8289069ead4ea81eb59f549f1c83f7018dc4ceffbd9992a7c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:20.928477Z","signature_b64":"7EwOIgKslcsrHs4Ekc2Nsx6WDBrb5egl3WZVGVhKdfpmUyfTe+fjDg7WnLDPOwTgzONpGhjn1I5eLNXGCbMkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8589b60775b151ece4d1cf14137aeb59a94a5c5e3f82c4f7253134b2271789a2","last_reissued_at":"2026-05-18T03:21:20.927994Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:20.927994Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Connes-Chern character for manifolds with boundary and eta cochains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.OA","authors_text":"Henri Moscovici, Markus J. Pflaum, Matthias Lesch","submitted_at":"2009-12-01T16:55:22Z","abstract_excerpt":"We express the Connes-Chern character of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off pa- rameter. Blowing-up the metric one recovers the pair of characteristic currents that represent the corresponding de Rham relative homology class, while the blow-down yields a relative cocycle whose expression involves higher eta cochains and their b-analogues. The corresponding pairing formulae with relative K-theory classes capture information about the boundary and allo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0194","kind":"arxiv","version":3},"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":"0912.0194","created_at":"2026-05-18T03:21:20.928064+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.0194v3","created_at":"2026-05-18T03:21:20.928064+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0194","created_at":"2026-05-18T03:21:20.928064+00:00"},{"alias_kind":"pith_short_12","alias_value":"QWE3MB3VWFI6","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QWE3MB3VWFI6ZZGR","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QWE3MB3V","created_at":"2026-05-18T12:26:01.383474+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/QWE3MB3VWFI6ZZGRZ4KBG6XLLG","json":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG.json","graph_json":"https://pith.science/api/pith-number/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/graph.json","events_json":"https://pith.science/api/pith-number/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/events.json","paper":"https://pith.science/paper/QWE3MB3V"},"agent_actions":{"view_html":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG","download_json":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG.json","view_paper":"https://pith.science/paper/QWE3MB3V","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.0194&json=true","fetch_graph":"https://pith.science/api/pith-number/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/graph.json","fetch_events":"https://pith.science/api/pith-number/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/action/storage_attestation","attest_author":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/action/author_attestation","sign_citation":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/action/citation_signature","submit_replication":"https://pith.science/pith/QWE3MB3VWFI6ZZGRZ4KBG6XLLG/action/replication_record"}},"created_at":"2026-05-18T03:21:20.928064+00:00","updated_at":"2026-05-18T03:21:20.928064+00:00"}