{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XGYM652VXUVGTJXH7AHTTPLAIZ","short_pith_number":"pith:XGYM652V","canonical_record":{"source":{"id":"2409.01619","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-09-03T05:39:21Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"40c27c8c6ec19c65a8e1a8f154d83747eb51bcb119594394e5ebeaa095de26fa","abstract_canon_sha256":"d1f128cda091f01c0b07c68306266f30b6748508f73b8fed6df65ed2e534c334"},"schema_version":"1.0"},"canonical_sha256":"b9b0cf7755bd2a69a6e7f80f39bd6046569ac497c24f0383bbebd62b3a34405d","source":{"kind":"arxiv","id":"2409.01619","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01619","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01619v1","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01619","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"XGYM652VXUVG","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"pith_short_16","alias_value":"XGYM652VXUVGTJXH","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"pith_short_8","alias_value":"XGYM652V","created_at":"2026-07-05T09:02:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XGYM652VXUVGTJXH7AHTTPLAIZ","target":"record","payload":{"canonical_record":{"source":{"id":"2409.01619","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-09-03T05:39:21Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"40c27c8c6ec19c65a8e1a8f154d83747eb51bcb119594394e5ebeaa095de26fa","abstract_canon_sha256":"d1f128cda091f01c0b07c68306266f30b6748508f73b8fed6df65ed2e534c334"},"schema_version":"1.0"},"canonical_sha256":"b9b0cf7755bd2a69a6e7f80f39bd6046569ac497c24f0383bbebd62b3a34405d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:02:31.587774Z","signature_b64":"UmTGNlJ/j2zFx+WO2BxIi3Ci03Df5pM62CQ4H/3T+NwA/H6xUuSDXGN0fX1L84TwGZ2HW/DKbZX71YU+1AmeDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9b0cf7755bd2a69a6e7f80f39bd6046569ac497c24f0383bbebd62b3a34405d","last_reissued_at":"2026-07-05T09:02:31.587356Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:02:31.587356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.01619","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":"2026-07-05T09:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r57FrqjyONKwd71+WyLb9p71oOBC60IBHVj6iBN4o+iCU/KjwZzL8/VrcoET10mUpmjEhCD7nKqFuvoN9Z1wDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:07:23.743400Z"},"content_sha256":"f914360f048decce1ce0d17c7a4e37c2b80294f9f5243141a30e6f8898c46985","schema_version":"1.0","event_id":"sha256:f914360f048decce1ce0d17c7a4e37c2b80294f9f5243141a30e6f8898c46985"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XGYM652VXUVGTJXH7AHTTPLAIZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Poisson conformal bialgebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.RA","authors_text":"Chengming Bai, Yanyong Hong","submitted_at":"2024-09-03T05:39:21Z","abstract_excerpt":"We develop a conformal analog of the theory of Poisson bialgebras as well as a bialgebra theory of Poisson conformal algebras. We introduce the notion of Poisson conformal bialgebras, which are characterized by Manin triples of Poisson conformal algebras. A class of special Poisson conformal bialgebras called coboundary Poisson conformal bialgebras are constructed from skew-symmetric solutions of the Poisson conformal Yang-Baxter equation, whose operator forms are studied. Then we show that the semi-classical limits of conformal formal deformations of commutative and cocommutative antisymmetri"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01619","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/2409.01619/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":"2026-07-05T09:02:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WmDkwnFfnwl696xeGR7Sx0Gc/jnHNc3VH9/7vPOwWZ7TN6Q36pQdulsKD4Wke2uN18to3Ct1DgQJI5g143xMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:07:23.743984Z"},"content_sha256":"deedf5446af4d0eb9fabe3a73f2944919202ad873d2a1ab2c1549e48c6bd0906","schema_version":"1.0","event_id":"sha256:deedf5446af4d0eb9fabe3a73f2944919202ad873d2a1ab2c1549e48c6bd0906"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XGYM652VXUVGTJXH7AHTTPLAIZ/bundle.json","state_url":"https://pith.science/pith/XGYM652VXUVGTJXH7AHTTPLAIZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XGYM652VXUVGTJXH7AHTTPLAIZ/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":"2026-08-06T19:07:23Z","links":{"resolver":"https://pith.science/pith/XGYM652VXUVGTJXH7AHTTPLAIZ","bundle":"https://pith.science/pith/XGYM652VXUVGTJXH7AHTTPLAIZ/bundle.json","state":"https://pith.science/pith/XGYM652VXUVGTJXH7AHTTPLAIZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XGYM652VXUVGTJXH7AHTTPLAIZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XGYM652VXUVGTJXH7AHTTPLAIZ","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":"d1f128cda091f01c0b07c68306266f30b6748508f73b8fed6df65ed2e534c334","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-09-03T05:39:21Z","title_canon_sha256":"40c27c8c6ec19c65a8e1a8f154d83747eb51bcb119594394e5ebeaa095de26fa"},"schema_version":"1.0","source":{"id":"2409.01619","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01619","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01619v1","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01619","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"pith_short_12","alias_value":"XGYM652VXUVG","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"pith_short_16","alias_value":"XGYM652VXUVGTJXH","created_at":"2026-07-05T09:02:31Z"},{"alias_kind":"pith_short_8","alias_value":"XGYM652V","created_at":"2026-07-05T09:02:31Z"}],"graph_snapshots":[{"event_id":"sha256:deedf5446af4d0eb9fabe3a73f2944919202ad873d2a1ab2c1549e48c6bd0906","target":"graph","created_at":"2026-07-05T09:02:31Z","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/2409.01619/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a conformal analog of the theory of Poisson bialgebras as well as a bialgebra theory of Poisson conformal algebras. We introduce the notion of Poisson conformal bialgebras, which are characterized by Manin triples of Poisson conformal algebras. A class of special Poisson conformal bialgebras called coboundary Poisson conformal bialgebras are constructed from skew-symmetric solutions of the Poisson conformal Yang-Baxter equation, whose operator forms are studied. Then we show that the semi-classical limits of conformal formal deformations of commutative and cocommutative antisymmetri","authors_text":"Chengming Bai, Yanyong Hong","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-09-03T05:39:21Z","title":"On Poisson conformal bialgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01619","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:f914360f048decce1ce0d17c7a4e37c2b80294f9f5243141a30e6f8898c46985","target":"record","created_at":"2026-07-05T09:02:31Z","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":"d1f128cda091f01c0b07c68306266f30b6748508f73b8fed6df65ed2e534c334","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2024-09-03T05:39:21Z","title_canon_sha256":"40c27c8c6ec19c65a8e1a8f154d83747eb51bcb119594394e5ebeaa095de26fa"},"schema_version":"1.0","source":{"id":"2409.01619","kind":"arxiv","version":1}},"canonical_sha256":"b9b0cf7755bd2a69a6e7f80f39bd6046569ac497c24f0383bbebd62b3a34405d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9b0cf7755bd2a69a6e7f80f39bd6046569ac497c24f0383bbebd62b3a34405d","first_computed_at":"2026-07-05T09:02:31.587356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:02:31.587356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UmTGNlJ/j2zFx+WO2BxIi3Ci03Df5pM62CQ4H/3T+NwA/H6xUuSDXGN0fX1L84TwGZ2HW/DKbZX71YU+1AmeDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:02:31.587774Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.01619","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f914360f048decce1ce0d17c7a4e37c2b80294f9f5243141a30e6f8898c46985","sha256:deedf5446af4d0eb9fabe3a73f2944919202ad873d2a1ab2c1549e48c6bd0906"],"state_sha256":"713468d6f90f217761d782fd91b2d647450e1148cf8ef9687fbae1eb7e0bd999"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lOE7B0ZxgkJ9GTluL+1gKIdqm5zSb2ss9i6/OIQUQV9tEta+LyR0po0KXKYKrCTKtiW7vC1CblSfvESRa7bcAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T19:07:23.750735Z","bundle_sha256":"81ce722fdaa59175848c1311324a26283613ad9e4dc3622a066d50d39126275c"}}