{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:PAUQEGWPPALTA6YVZLLGMS4VMQ","short_pith_number":"pith:PAUQEGWP","canonical_record":{"source":{"id":"1208.5847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-29T06:38:05Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"af56d24507a61555029d1e5d2d81d2cc0c19580133bcb2bc8785bbc680225183","abstract_canon_sha256":"0bdf6a52db0692c791203fb6602a36234e0cb057f8b38cc7edd1d0d9cff0b222"},"schema_version":"1.0"},"canonical_sha256":"7829021acf7817307b15cad6664b95640f64da69e6f3f1c8523ea53c79f57f76","source":{"kind":"arxiv","id":"1208.5847","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5847","created_at":"2026-05-18T01:54:50Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5847v2","created_at":"2026-05-18T01:54:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5847","created_at":"2026-05-18T01:54:50Z"},{"alias_kind":"pith_short_12","alias_value":"PAUQEGWPPALT","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PAUQEGWPPALTA6YV","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PAUQEGWP","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:PAUQEGWPPALTA6YVZLLGMS4VMQ","target":"record","payload":{"canonical_record":{"source":{"id":"1208.5847","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-29T06:38:05Z","cross_cats_sorted":["nlin.SI"],"title_canon_sha256":"af56d24507a61555029d1e5d2d81d2cc0c19580133bcb2bc8785bbc680225183","abstract_canon_sha256":"0bdf6a52db0692c791203fb6602a36234e0cb057f8b38cc7edd1d0d9cff0b222"},"schema_version":"1.0"},"canonical_sha256":"7829021acf7817307b15cad6664b95640f64da69e6f3f1c8523ea53c79f57f76","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:50.465787Z","signature_b64":"ywyVFRrdOl+/kQM0PPbmQPukM/APGIhl1XdmNkVV0l35vwxF23Nn7r/Jb3JI2UjvTN/nVFzU4hH7UOIZuYJZDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7829021acf7817307b15cad6664b95640f64da69e6f3f1c8523ea53c79f57f76","last_reissued_at":"2026-05-18T01:54:50.465112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:50.465112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.5847","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":"2026-05-18T01:54:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDhXTyln4CVVFPDNyRunzQETo0doq8oTPb5DuAhJ4Yo5Eg5j656+1H5lM7W/A8wzeyNpPthCu2EdT35Mj7KyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:57:23.328684Z"},"content_sha256":"d9e73b6eaa89af4e2f1b0d19916525fb80052b5d812eb6aa97e7e1ac0f966a89","schema_version":"1.0","event_id":"sha256:d9e73b6eaa89af4e2f1b0d19916525fb80052b5d812eb6aa97e7e1ac0f966a89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:PAUQEGWPPALTA6YVZLLGMS4VMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.SI"],"primary_cat":"math.DG","authors_text":"Si-Qi Liu, Youjin Zhang","submitted_at":"2012-08-29T06:38:05Z","abstract_excerpt":"We present some general results on properties of the bihamiltonian cohomologies associated to bihamiltonian structures of hydrodynamic type, and compute the third cohomology for the bihamiltonian structure of the dispersionless KdV hierarchy. The result of the computation enables us to prove the existence of bihamiltonian deformations of the dispersionless KdV hierarchy starting from any of its infinitesimal deformations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5847","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":"2026-05-18T01:54:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jeg/Z1vEEnGhiZK70jw147SzX69ibmnJp9cneb+cbCAmw/jLlevg5DMB6nbueP+aJobj8yDMEH7e1xgSVO4GDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T18:57:23.329026Z"},"content_sha256":"93a515fbe0daca5769e0f9880fe3158482becb6b5f6bca2fc7129150d8858f6b","schema_version":"1.0","event_id":"sha256:93a515fbe0daca5769e0f9880fe3158482becb6b5f6bca2fc7129150d8858f6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ/bundle.json","state_url":"https://pith.science/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ/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":"2026-06-03T18:57:23Z","links":{"resolver":"https://pith.science/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ","bundle":"https://pith.science/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ/bundle.json","state":"https://pith.science/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PAUQEGWPPALTA6YVZLLGMS4VMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:PAUQEGWPPALTA6YVZLLGMS4VMQ","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":"0bdf6a52db0692c791203fb6602a36234e0cb057f8b38cc7edd1d0d9cff0b222","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-29T06:38:05Z","title_canon_sha256":"af56d24507a61555029d1e5d2d81d2cc0c19580133bcb2bc8785bbc680225183"},"schema_version":"1.0","source":{"id":"1208.5847","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.5847","created_at":"2026-05-18T01:54:50Z"},{"alias_kind":"arxiv_version","alias_value":"1208.5847v2","created_at":"2026-05-18T01:54:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5847","created_at":"2026-05-18T01:54:50Z"},{"alias_kind":"pith_short_12","alias_value":"PAUQEGWPPALT","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"PAUQEGWPPALTA6YV","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"PAUQEGWP","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:93a515fbe0daca5769e0f9880fe3158482becb6b5f6bca2fc7129150d8858f6b","target":"graph","created_at":"2026-05-18T01:54:50Z","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 present some general results on properties of the bihamiltonian cohomologies associated to bihamiltonian structures of hydrodynamic type, and compute the third cohomology for the bihamiltonian structure of the dispersionless KdV hierarchy. The result of the computation enables us to prove the existence of bihamiltonian deformations of the dispersionless KdV hierarchy starting from any of its infinitesimal deformations.","authors_text":"Si-Qi Liu, Youjin Zhang","cross_cats":["nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-29T06:38:05Z","title":"Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5847","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:d9e73b6eaa89af4e2f1b0d19916525fb80052b5d812eb6aa97e7e1ac0f966a89","target":"record","created_at":"2026-05-18T01:54:50Z","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":"0bdf6a52db0692c791203fb6602a36234e0cb057f8b38cc7edd1d0d9cff0b222","cross_cats_sorted":["nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-08-29T06:38:05Z","title_canon_sha256":"af56d24507a61555029d1e5d2d81d2cc0c19580133bcb2bc8785bbc680225183"},"schema_version":"1.0","source":{"id":"1208.5847","kind":"arxiv","version":2}},"canonical_sha256":"7829021acf7817307b15cad6664b95640f64da69e6f3f1c8523ea53c79f57f76","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7829021acf7817307b15cad6664b95640f64da69e6f3f1c8523ea53c79f57f76","first_computed_at":"2026-05-18T01:54:50.465112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:50.465112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ywyVFRrdOl+/kQM0PPbmQPukM/APGIhl1XdmNkVV0l35vwxF23Nn7r/Jb3JI2UjvTN/nVFzU4hH7UOIZuYJZDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:50.465787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.5847","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9e73b6eaa89af4e2f1b0d19916525fb80052b5d812eb6aa97e7e1ac0f966a89","sha256:93a515fbe0daca5769e0f9880fe3158482becb6b5f6bca2fc7129150d8858f6b"],"state_sha256":"4415c860b3780218fe7c44f37a82342790c3eaa24de366acb1bfd06f195b7e60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XUDWgfwHNGFqXI54lu6stX0sDleweO/I7S63wASFfsg+SC7JPxt73qC2y/c57uwDzPmmCQx1h347sXpJfNQiCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T18:57:23.330940Z","bundle_sha256":"70429875e8f980ac1ebb2113524f5804437e15e900a8b23d921b5835a13b086a"}}