{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:U3EXXI4TJ5SKF23PO6AYDQNQ6N","short_pith_number":"pith:U3EXXI4T","canonical_record":{"source":{"id":"0906.2576","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-06-14T23:15:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"002f072cbb38dc34f531d1d67bf0cb6349473e0bb69985b03f5389966ea9377f","abstract_canon_sha256":"aa6ccfc1a5ebc23261e44501242fc48ef8ddb1244832bb1072fcbd0d4831d873"},"schema_version":"1.0"},"canonical_sha256":"a6c97ba3934f64a2eb6f778181c1b0f3469b494317af535130ab0c99ae989e92","source":{"kind":"arxiv","id":"0906.2576","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.2576","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"0906.2576v2","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.2576","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"U3EXXI4TJ5SK","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"U3EXXI4TJ5SKF23P","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"U3EXXI4T","created_at":"2026-05-18T12:26:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:U3EXXI4TJ5SKF23PO6AYDQNQ6N","target":"record","payload":{"canonical_record":{"source":{"id":"0906.2576","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-06-14T23:15:04Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"002f072cbb38dc34f531d1d67bf0cb6349473e0bb69985b03f5389966ea9377f","abstract_canon_sha256":"aa6ccfc1a5ebc23261e44501242fc48ef8ddb1244832bb1072fcbd0d4831d873"},"schema_version":"1.0"},"canonical_sha256":"a6c97ba3934f64a2eb6f778181c1b0f3469b494317af535130ab0c99ae989e92","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:49.406652Z","signature_b64":"Gx5754VuKq0eDXOfX07QdfI7u1modOJsPB+JhAZPCRyEukk0SDVCaPkJtaca7CAqdN5NBAARVOuVDYlGONFMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6c97ba3934f64a2eb6f778181c1b0f3469b494317af535130ab0c99ae989e92","last_reissued_at":"2026-05-18T04:39:49.406094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:49.406094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.2576","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:39:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eLkG6V8GzymsTy6yUBKyeXqGKETOtzuFBe2UfsUid83zMQHyuXCH/T4dZgQmUEA4842J/2hVmaJ4V5ILeimbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T23:25:57.838575Z"},"content_sha256":"26ba5b4da629849606e14b190545512589ac00b5e05df991034debabf38273d9","schema_version":"1.0","event_id":"sha256:26ba5b4da629849606e14b190545512589ac00b5e05df991034debabf38273d9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:U3EXXI4TJ5SKF23PO6AYDQNQ6N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hochschild and cyclic homology of Yang-Mills algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.KT","authors_text":"Andrea Solotar, Estanislao Herscovich","submitted_at":"2009-06-14T23:15:04Z","abstract_excerpt":"The aim of this article is to compute the Hochschild and cyclic homology groups of Yang-Mills algebras, that have been defined by A. Connes and M. Dubois-Violette. We proceed here the study of these algebras that we have initiated in a previous article. The computation involves the use of a spectral sequence associated to the natural filtration on the enveloping algebra of the Lie Yang-Mills algebra. This filtration in provided by a Lie ideal which is free as Lie algebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.2576","kind":"arxiv","version":2},"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":"2026-05-18T04:39:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hE2Sg4cEKiMHlqyAhYSxl/2AqHFbrQe4/nTQyFxyNhur8DS9T6u3coxnZh8xyzzm8lEzXaiZjw81wwpThR3mBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T23:25:57.838919Z"},"content_sha256":"2dc75733803ad9844d2b5c32ed89cb2b2b6392745e15d96e209abadfd421e9a2","schema_version":"1.0","event_id":"sha256:2dc75733803ad9844d2b5c32ed89cb2b2b6392745e15d96e209abadfd421e9a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N/bundle.json","state_url":"https://pith.science/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N/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":"2026-06-28T23:25:57Z","links":{"resolver":"https://pith.science/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N","bundle":"https://pith.science/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N/bundle.json","state":"https://pith.science/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3EXXI4TJ5SKF23PO6AYDQNQ6N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:U3EXXI4TJ5SKF23PO6AYDQNQ6N","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":"aa6ccfc1a5ebc23261e44501242fc48ef8ddb1244832bb1072fcbd0d4831d873","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-06-14T23:15:04Z","title_canon_sha256":"002f072cbb38dc34f531d1d67bf0cb6349473e0bb69985b03f5389966ea9377f"},"schema_version":"1.0","source":{"id":"0906.2576","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.2576","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"arxiv_version","alias_value":"0906.2576v2","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.2576","created_at":"2026-05-18T04:39:49Z"},{"alias_kind":"pith_short_12","alias_value":"U3EXXI4TJ5SK","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"U3EXXI4TJ5SKF23P","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"U3EXXI4T","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:2dc75733803ad9844d2b5c32ed89cb2b2b6392745e15d96e209abadfd421e9a2","target":"graph","created_at":"2026-05-18T04:39:49Z","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 aim of this article is to compute the Hochschild and cyclic homology groups of Yang-Mills algebras, that have been defined by A. Connes and M. Dubois-Violette. We proceed here the study of these algebras that we have initiated in a previous article. The computation involves the use of a spectral sequence associated to the natural filtration on the enveloping algebra of the Lie Yang-Mills algebra. This filtration in provided by a Lie ideal which is free as Lie algebra.","authors_text":"Andrea Solotar, Estanislao Herscovich","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-06-14T23:15:04Z","title":"Hochschild and cyclic homology of Yang-Mills algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.2576","kind":"arxiv","version":2},"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":"sha256:26ba5b4da629849606e14b190545512589ac00b5e05df991034debabf38273d9","target":"record","created_at":"2026-05-18T04:39:49Z","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":"aa6ccfc1a5ebc23261e44501242fc48ef8ddb1244832bb1072fcbd0d4831d873","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2009-06-14T23:15:04Z","title_canon_sha256":"002f072cbb38dc34f531d1d67bf0cb6349473e0bb69985b03f5389966ea9377f"},"schema_version":"1.0","source":{"id":"0906.2576","kind":"arxiv","version":2}},"canonical_sha256":"a6c97ba3934f64a2eb6f778181c1b0f3469b494317af535130ab0c99ae989e92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6c97ba3934f64a2eb6f778181c1b0f3469b494317af535130ab0c99ae989e92","first_computed_at":"2026-05-18T04:39:49.406094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:49.406094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Gx5754VuKq0eDXOfX07QdfI7u1modOJsPB+JhAZPCRyEukk0SDVCaPkJtaca7CAqdN5NBAARVOuVDYlGONFMCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:49.406652Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.2576","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26ba5b4da629849606e14b190545512589ac00b5e05df991034debabf38273d9","sha256:2dc75733803ad9844d2b5c32ed89cb2b2b6392745e15d96e209abadfd421e9a2"],"state_sha256":"017c35a2709674bf33a56ebd36073e47e4cdb43f957384c44f5f0cc0ccb10198"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pZzMPe0AJgc7iZKbFLq4dUPj3V+NWI7G4p/3/jNfMq9OCUOxuiDV6VzwZ60GyUflMJZRI9WZ6/pxTSIWqVkyCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T23:25:57.840780Z","bundle_sha256":"5dddf886c6f31feec5f6b9c24f9ef5f2f5a0ecc7816c1bf14ed6e6a6e66ff74e"}}