{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:UCJXFCBG2HTR7KMRX3G7MBGZ3J","short_pith_number":"pith:UCJXFCBG","canonical_record":{"source":{"id":"0906.3122","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-06-17T09:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"314135d6046342db49f4ce8e6023d32defaea12ea5adce7923adde0c52ba9524","abstract_canon_sha256":"deb3cafa7bf973675e8965659e6bf4f103a9b4e63c2a80db029d747415f239fb"},"schema_version":"1.0"},"canonical_sha256":"a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5","source":{"kind":"arxiv","id":"0906.3122","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.3122","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"0906.3122v3","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.3122","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"UCJXFCBG2HTR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UCJXFCBG2HTR7KMR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UCJXFCBG","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:UCJXFCBG2HTR7KMRX3G7MBGZ3J","target":"record","payload":{"canonical_record":{"source":{"id":"0906.3122","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-06-17T09:46:20Z","cross_cats_sorted":[],"title_canon_sha256":"314135d6046342db49f4ce8e6023d32defaea12ea5adce7923adde0c52ba9524","abstract_canon_sha256":"deb3cafa7bf973675e8965659e6bf4f103a9b4e63c2a80db029d747415f239fb"},"schema_version":"1.0"},"canonical_sha256":"a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:18.474109Z","signature_b64":"9iSp3K7OtznmQoq5+JTDnBfujWJgJQVISHeyHAzZ8eJ+o43dE8cGfNKy/jdBIxjrE/j5sUoe1t9XRVOxKC7RDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5","last_reissued_at":"2026-05-18T03:02:18.473205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:18.473205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.3122","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/sX1ObWiN/gIezF0x690XnyXeGao+CbDtlYQTlWfzIr1q05SwRiHlMO9Fyhed76emweyyoT9lBJUoHlLtMduBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:55:01.935623Z"},"content_sha256":"d97a48d42b973c2db266548fd750f998aafeb76322ee0731f5b2c52213c11833","schema_version":"1.0","event_id":"sha256:d97a48d42b973c2db266548fd750f998aafeb76322ee0731f5b2c52213c11833"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:UCJXFCBG2HTR7KMRX3G7MBGZ3J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The character map in deformation quantization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Alberto S. Cattaneo, Giovanni Felder, Thomas Willwacher","submitted_at":"2009-06-17T09:46:20Z","abstract_excerpt":"The third author recently proved that the Shoikhet-Dolgushev L-infinity-morphism from Hochschild chains of the algebra of smooth functions on manifold to differential forms extends to cyclic chains. Localization at a solution of the Maurer-Cartan equation gives an isomorphism, which we call character map, from the periodic cyclic homology of a formal associative deformation of the algebra of functions to de Rham cohomology. We prove that the character map is compatible with the Gauss-Manin connection, extending a result of Calaque and Rossi on the compatibility with the cap product. As a conse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.3122","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:02:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eweSVZg5TtfcE6q6Ak2TWzGyaL3C4nWBXFg3iHklcBA8R8zA09HD7ACzgt5Ag9GsOqLyxTFxZVONk10D5IAjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:55:01.936273Z"},"content_sha256":"5953d94d3c4f72c382cfb15e6c0ca78ac0e79ded14e3263b7cf24d156c8f0e14","schema_version":"1.0","event_id":"sha256:5953d94d3c4f72c382cfb15e6c0ca78ac0e79ded14e3263b7cf24d156c8f0e14"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J/bundle.json","state_url":"https://pith.science/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J/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":"2026-06-04T13:55:01Z","links":{"resolver":"https://pith.science/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J","bundle":"https://pith.science/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J/bundle.json","state":"https://pith.science/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UCJXFCBG2HTR7KMRX3G7MBGZ3J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UCJXFCBG2HTR7KMRX3G7MBGZ3J","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":"deb3cafa7bf973675e8965659e6bf4f103a9b4e63c2a80db029d747415f239fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-06-17T09:46:20Z","title_canon_sha256":"314135d6046342db49f4ce8e6023d32defaea12ea5adce7923adde0c52ba9524"},"schema_version":"1.0","source":{"id":"0906.3122","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.3122","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"arxiv_version","alias_value":"0906.3122v3","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.3122","created_at":"2026-05-18T03:02:18Z"},{"alias_kind":"pith_short_12","alias_value":"UCJXFCBG2HTR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UCJXFCBG2HTR7KMR","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UCJXFCBG","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:5953d94d3c4f72c382cfb15e6c0ca78ac0e79ded14e3263b7cf24d156c8f0e14","target":"graph","created_at":"2026-05-18T03:02:18Z","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"},"paper":{"abstract_excerpt":"The third author recently proved that the Shoikhet-Dolgushev L-infinity-morphism from Hochschild chains of the algebra of smooth functions on manifold to differential forms extends to cyclic chains. Localization at a solution of the Maurer-Cartan equation gives an isomorphism, which we call character map, from the periodic cyclic homology of a formal associative deformation of the algebra of functions to de Rham cohomology. We prove that the character map is compatible with the Gauss-Manin connection, extending a result of Calaque and Rossi on the compatibility with the cap product. As a conse","authors_text":"Alberto S. Cattaneo, Giovanni Felder, Thomas Willwacher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-06-17T09:46:20Z","title":"The character map in deformation quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.3122","kind":"arxiv","version":3},"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:d97a48d42b973c2db266548fd750f998aafeb76322ee0731f5b2c52213c11833","target":"record","created_at":"2026-05-18T03:02:18Z","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":"deb3cafa7bf973675e8965659e6bf4f103a9b4e63c2a80db029d747415f239fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2009-06-17T09:46:20Z","title_canon_sha256":"314135d6046342db49f4ce8e6023d32defaea12ea5adce7923adde0c52ba9524"},"schema_version":"1.0","source":{"id":"0906.3122","kind":"arxiv","version":3}},"canonical_sha256":"a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a093728826d1e71fa991becdf604d9da54cfbaa273651604cd924bec2219bcb5","first_computed_at":"2026-05-18T03:02:18.473205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:18.473205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9iSp3K7OtznmQoq5+JTDnBfujWJgJQVISHeyHAzZ8eJ+o43dE8cGfNKy/jdBIxjrE/j5sUoe1t9XRVOxKC7RDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:18.474109Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.3122","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d97a48d42b973c2db266548fd750f998aafeb76322ee0731f5b2c52213c11833","sha256:5953d94d3c4f72c382cfb15e6c0ca78ac0e79ded14e3263b7cf24d156c8f0e14"],"state_sha256":"7a3b0c6df04c9d1ac11c18284e26bf53f9dbd749196eaf7d7089455a2b97c700"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MPbf5Pf8e6rYCL7K2E2Qd5UjH9EF7rhhAus6f8tKZiIVVhzLKAObBI5YRrZSxjqbGoO1Tai68xkK8SEJ0z9iBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T13:55:01.939219Z","bundle_sha256":"054b5a9dc5b0055e04be77eaa441df75646de2448ca44158abf1b181cdaca54d"}}