{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:24TUJ4ELQXGVTAFTGVGG4KZ5FX","short_pith_number":"pith:24TUJ4EL","canonical_record":{"source":{"id":"1709.03337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-09-11T11:36:18Z","cross_cats_sorted":["math.KT","math.OA"],"title_canon_sha256":"743100b771e76b6a38f8b44ac8d56962b0b54957f44fcbe645ae036ba9c07897","abstract_canon_sha256":"1568c7ba9dd3eb59371d2c0f075e188c65f8898308a19882f6073e5141531c9a"},"schema_version":"1.0"},"canonical_sha256":"d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82","source":{"kind":"arxiv","id":"1709.03337","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03337","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03337v1","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03337","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"24TUJ4ELQXGV","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"24TUJ4ELQXGVTAFT","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"24TUJ4EL","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:24TUJ4ELQXGVTAFTGVGG4KZ5FX","target":"record","payload":{"canonical_record":{"source":{"id":"1709.03337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-09-11T11:36:18Z","cross_cats_sorted":["math.KT","math.OA"],"title_canon_sha256":"743100b771e76b6a38f8b44ac8d56962b0b54957f44fcbe645ae036ba9c07897","abstract_canon_sha256":"1568c7ba9dd3eb59371d2c0f075e188c65f8898308a19882f6073e5141531c9a"},"schema_version":"1.0"},"canonical_sha256":"d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:38.682556Z","signature_b64":"5tVDty9XJThgTkg59VEdzymFqCX1/8mgoVvR6mbmFiW72wbpJaa6rBWVpvVBW+UiZwrFfyMGnpzCkggRu/dyDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82","last_reissued_at":"2026-05-18T00:35:38.681950Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:38.681950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.03337","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":"2026-05-18T00:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tMWPp9cynoJb4IitvegRg7C3/m+TQyFTIOMYjGgbEioEOSHMq0gDfcHV1lh7iq5HvcgQr40C1Ox2NTAgwSvdCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:53:59.042112Z"},"content_sha256":"c44d54b1a75a08bbe5f62b7f9e356090385dcc572582d78dae9a882c9c1f6341","schema_version":"1.0","event_id":"sha256:c44d54b1a75a08bbe5f62b7f9e356090385dcc572582d78dae9a882c9c1f6341"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:24TUJ4ELQXGVTAFTGVGG4KZ5FX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tracing cyclic homology pairings under twisting of graded algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT","math.OA"],"primary_cat":"math.QA","authors_text":"Makoto Yamashita, Sayan Chakraborty","submitted_at":"2017-09-11T11:36:18Z","abstract_excerpt":"We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss-Manin connection on periodic cyclic cohomology in terms of the cup product action of group cohomology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03337","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":""},"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":"2026-05-18T00:35:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L2J3SMkUwvvTsP5EQvWdlMoxUUnXW3GbRi2NiRU3m+XJw1wm56RNNBGYLQQe4JRt0oBLjcyxemQdjcqGUHVeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:53:59.042911Z"},"content_sha256":"faf0aac1566a5bb45b2c23a31a3b8a1a04e9988e74517d5445f6bfe958ef0dc6","schema_version":"1.0","event_id":"sha256:faf0aac1566a5bb45b2c23a31a3b8a1a04e9988e74517d5445f6bfe958ef0dc6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX/bundle.json","state_url":"https://pith.science/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX/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":"2026-06-11T07:53:59Z","links":{"resolver":"https://pith.science/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX","bundle":"https://pith.science/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX/bundle.json","state":"https://pith.science/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/24TUJ4ELQXGVTAFTGVGG4KZ5FX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:24TUJ4ELQXGVTAFTGVGG4KZ5FX","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":"1568c7ba9dd3eb59371d2c0f075e188c65f8898308a19882f6073e5141531c9a","cross_cats_sorted":["math.KT","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-09-11T11:36:18Z","title_canon_sha256":"743100b771e76b6a38f8b44ac8d56962b0b54957f44fcbe645ae036ba9c07897"},"schema_version":"1.0","source":{"id":"1709.03337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03337","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03337v1","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03337","created_at":"2026-05-18T00:35:38Z"},{"alias_kind":"pith_short_12","alias_value":"24TUJ4ELQXGV","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"24TUJ4ELQXGVTAFT","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"24TUJ4EL","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:faf0aac1566a5bb45b2c23a31a3b8a1a04e9988e74517d5445f6bfe958ef0dc6","target":"graph","created_at":"2026-05-18T00:35:38Z","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"},"paper":{"abstract_excerpt":"We give a description of cyclic cohomology and its pairing with K-groups for 2-cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss-Manin connection on periodic cyclic cohomology in terms of the cup product action of group cohomology.","authors_text":"Makoto Yamashita, Sayan Chakraborty","cross_cats":["math.KT","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-09-11T11:36:18Z","title":"Tracing cyclic homology pairings under twisting of graded algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03337","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:c44d54b1a75a08bbe5f62b7f9e356090385dcc572582d78dae9a882c9c1f6341","target":"record","created_at":"2026-05-18T00:35:38Z","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":"1568c7ba9dd3eb59371d2c0f075e188c65f8898308a19882f6073e5141531c9a","cross_cats_sorted":["math.KT","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-09-11T11:36:18Z","title_canon_sha256":"743100b771e76b6a38f8b44ac8d56962b0b54957f44fcbe645ae036ba9c07897"},"schema_version":"1.0","source":{"id":"1709.03337","kind":"arxiv","version":1}},"canonical_sha256":"d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d72744f08b85cd5980b3354c6e2b3d2dd7c5a52a46dfa59a08929d6833cf0a82","first_computed_at":"2026-05-18T00:35:38.681950Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:38.681950Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5tVDty9XJThgTkg59VEdzymFqCX1/8mgoVvR6mbmFiW72wbpJaa6rBWVpvVBW+UiZwrFfyMGnpzCkggRu/dyDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:38.682556Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c44d54b1a75a08bbe5f62b7f9e356090385dcc572582d78dae9a882c9c1f6341","sha256:faf0aac1566a5bb45b2c23a31a3b8a1a04e9988e74517d5445f6bfe958ef0dc6"],"state_sha256":"ed8a09e5328c7233f67e74a23a0b3a9986e7ae7a9e7b4f1986a38c202f040ad3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mzA32usMdApQakqIXUBuhAq1IJZ/RrmWR5GNaJxmIiTDEUJPDjx/V4TSIadhiIGEvDkMxB/IVMUj7eRME8fSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:53:59.047220Z","bundle_sha256":"b52880b87a89ab3076ee7db68fb1f81ecc411d2e1c7cb159ebd59c165d1e050f"}}