{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:KW2MOES5SPB7TPDUAJ5LWL3ZF7","short_pith_number":"pith:KW2MOES5","canonical_record":{"source":{"id":"hep-th/0206039","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-06-05T15:43:16Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"f37ea327e2b7981dec2e96d0faa1ff73c611814a0b8fcfaadaa669087cfab746","abstract_canon_sha256":"e1cd3ad8b61ebd22a073462d9b16e1c62c114b08fa42a73fca9c723badbef84f"},"schema_version":"1.0"},"canonical_sha256":"55b4c7125d93c3f9bc74027abb2f792fc18cf38b188ad47a74599acc736579c0","source":{"kind":"arxiv","id":"hep-th/0206039","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0206039","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0206039v1","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0206039","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"KW2MOES5SPB7","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"pith_short_16","alias_value":"KW2MOES5SPB7TPDU","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"pith_short_8","alias_value":"KW2MOES5","created_at":"2026-07-04T16:34:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:KW2MOES5SPB7TPDUAJ5LWL3ZF7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0206039","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-06-05T15:43:16Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"f37ea327e2b7981dec2e96d0faa1ff73c611814a0b8fcfaadaa669087cfab746","abstract_canon_sha256":"e1cd3ad8b61ebd22a073462d9b16e1c62c114b08fa42a73fca9c723badbef84f"},"schema_version":"1.0"},"canonical_sha256":"55b4c7125d93c3f9bc74027abb2f792fc18cf38b188ad47a74599acc736579c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:34:47.302388Z","signature_b64":"j/aTVGomBrhx/gR0A4kLFKciYB9pa0K4HRftZmMRH2nFo/y5KaFRvc0zBaeCmuPaS52Hadb40BT+cgWMLobGDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55b4c7125d93c3f9bc74027abb2f792fc18cf38b188ad47a74599acc736579c0","last_reissued_at":"2026-07-04T16:34:47.302049Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:34:47.302049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0206039","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":"2026-07-04T16:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n2DV70tB3w2E7KpxgZ8G7+N1t35l1EtcwdwMJJG5kzUBHATzAlTLPXRqCa8IGJutqiOFokL9BqXqteRT6gp0BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:05:03.108526Z"},"content_sha256":"7bde23fdc246d4c3592b4cb74f908f6f4570d2461fcd4de253b2a4e0b02965c9","schema_version":"1.0","event_id":"sha256:7bde23fdc246d4c3592b4cb74f908f6f4570d2461fcd4de253b2a4e0b02965c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:KW2MOES5SPB7TPDUAJ5LWL3ZF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds","license":"","headline":"","cross_cats":["math.QA"],"primary_cat":"hep-th","authors_text":"A.A. Sharapov, A.P. Isaev, S.L. Lyakhovich, V.A. Dolgushev","submitted_at":"2002-06-05T15:43:16Z","abstract_excerpt":"A simple iterative procedure is suggested for the deformation quantization of (irregular) Poisson brackets associated to the classical Yang-Baxter equation. The construction is shown to admit a pure algebraic reformulation giving the Universal Deformation Formula (UDF) for any triangular Lie bialgebra. A simple proof of classification theorem for inequivalent UDF's is given. As an example the explicit quantization formula is presented for the quasi-homogeneous Poisson brackets on two-plane."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0206039","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/hep-th/0206039/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":"2026-07-04T16:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fv5S0bMGrbt9DrI+4INl/mLgoqDjf85oVbVOSKXXIXVXOeBEvopcNZ5pv4hzOK3PNfFIKHJRKCA05JzM+jR9Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:05:03.109158Z"},"content_sha256":"a6b7958d30b3e189a495ebebd6818f975529f6aaeb851144b345127d6b1a88bc","schema_version":"1.0","event_id":"sha256:a6b7958d30b3e189a495ebebd6818f975529f6aaeb851144b345127d6b1a88bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7/bundle.json","state_url":"https://pith.science/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7/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":"2026-07-05T15:05:03Z","links":{"resolver":"https://pith.science/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7","bundle":"https://pith.science/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7/bundle.json","state":"https://pith.science/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KW2MOES5SPB7TPDUAJ5LWL3ZF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:KW2MOES5SPB7TPDUAJ5LWL3ZF7","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":"e1cd3ad8b61ebd22a073462d9b16e1c62c114b08fa42a73fca9c723badbef84f","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2002-06-05T15:43:16Z","title_canon_sha256":"f37ea327e2b7981dec2e96d0faa1ff73c611814a0b8fcfaadaa669087cfab746"},"schema_version":"1.0","source":{"id":"hep-th/0206039","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0206039","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0206039v1","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0206039","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"KW2MOES5SPB7","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"pith_short_16","alias_value":"KW2MOES5SPB7TPDU","created_at":"2026-07-04T16:34:47Z"},{"alias_kind":"pith_short_8","alias_value":"KW2MOES5","created_at":"2026-07-04T16:34:47Z"}],"graph_snapshots":[{"event_id":"sha256:a6b7958d30b3e189a495ebebd6818f975529f6aaeb851144b345127d6b1a88bc","target":"graph","created_at":"2026-07-04T16:34:47Z","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/hep-th/0206039/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A simple iterative procedure is suggested for the deformation quantization of (irregular) Poisson brackets associated to the classical Yang-Baxter equation. The construction is shown to admit a pure algebraic reformulation giving the Universal Deformation Formula (UDF) for any triangular Lie bialgebra. A simple proof of classification theorem for inequivalent UDF's is given. As an example the explicit quantization formula is presented for the quasi-homogeneous Poisson brackets on two-plane.","authors_text":"A.A. Sharapov, A.P. Isaev, S.L. Lyakhovich, V.A. Dolgushev","cross_cats":["math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-06-05T15:43:16Z","title":"On the Fedosov Deformation Quantization beyond the Regular Poisson Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0206039","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":"sha256:7bde23fdc246d4c3592b4cb74f908f6f4570d2461fcd4de253b2a4e0b02965c9","target":"record","created_at":"2026-07-04T16:34:47Z","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":"e1cd3ad8b61ebd22a073462d9b16e1c62c114b08fa42a73fca9c723badbef84f","cross_cats_sorted":["math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2002-06-05T15:43:16Z","title_canon_sha256":"f37ea327e2b7981dec2e96d0faa1ff73c611814a0b8fcfaadaa669087cfab746"},"schema_version":"1.0","source":{"id":"hep-th/0206039","kind":"arxiv","version":1}},"canonical_sha256":"55b4c7125d93c3f9bc74027abb2f792fc18cf38b188ad47a74599acc736579c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55b4c7125d93c3f9bc74027abb2f792fc18cf38b188ad47a74599acc736579c0","first_computed_at":"2026-07-04T16:34:47.302049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:34:47.302049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j/aTVGomBrhx/gR0A4kLFKciYB9pa0K4HRftZmMRH2nFo/y5KaFRvc0zBaeCmuPaS52Hadb40BT+cgWMLobGDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:34:47.302388Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0206039","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7bde23fdc246d4c3592b4cb74f908f6f4570d2461fcd4de253b2a4e0b02965c9","sha256:a6b7958d30b3e189a495ebebd6818f975529f6aaeb851144b345127d6b1a88bc"],"state_sha256":"fa0841eebd04bf85cea0374f3d6670e591c7b201a72d25a5397cd5701923a02e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tn16sAgvuKFwOfgH7VMg8Sv/nnVpTGYGwVz3jrsB9TO3+UzjezSOT+tohIuNP9jMY0afMUiG/a1tdIAht0HLCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:05:03.112162Z","bundle_sha256":"ef16ba35666cacd599de7697122121395a4b0baa6e9434a4f4d97ce0baa432db"}}