{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:I7VTT3VNDEBZB75CAWD7XZCU27","short_pith_number":"pith:I7VTT3VN","schema_version":"1.0","canonical_sha256":"47eb39eead190390ffa20587fbe454d7d98f64fb32484d4675d439c0dd3dc222","source":{"kind":"arxiv","id":"1501.04295","version":4},"attestation_state":"computed","paper":{"title":"Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"math.DG","authors_text":"Guido Carlet, Hessel Posthuma, Sergey Shadrin","submitted_at":"2015-01-18T13:25:38Z","abstract_excerpt":"We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dispersive deformation of a semisimple bihamiltonian structure of hydrodynamic type starting from any infinitesimal deformation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.04295","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-01-18T13:25:38Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"3560a6342050bdaaa7be24471bc0a4764e901e50ad9bac9934f6c8fcbb3864a1","abstract_canon_sha256":"3876a87df34d1b78c009bfc5c1f0707c2710e9122a587724bb97f4fdefe0c458"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:46.101956Z","signature_b64":"5dyPYIZgPqnEBHB1kF9aMhuDJeUimA77nqUR03IUvq/cLVffj6vmNz5WeLCbavHs0V5sSn1/vgJzQHz5ZO/VDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47eb39eead190390ffa20587fbe454d7d98f64fb32484d4675d439c0dd3dc222","last_reissued_at":"2026-05-18T00:02:46.101543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:46.101543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Deformations of semisimple Poisson pencils of hydrodynamic type are unobstructed","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"math.DG","authors_text":"Guido Carlet, Hessel Posthuma, Sergey Shadrin","submitted_at":"2015-01-18T13:25:38Z","abstract_excerpt":"We prove that the bihamiltonian cohomology of a semisimple pencil of Poisson brackets of hydrodynamic type vanishes for almost all degrees. This implies the existence of a full dispersive deformation of a semisimple bihamiltonian structure of hydrodynamic type starting from any infinitesimal deformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04295","kind":"arxiv","version":4},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.04295","created_at":"2026-05-18T00:02:46.101604+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.04295v4","created_at":"2026-05-18T00:02:46.101604+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.04295","created_at":"2026-05-18T00:02:46.101604+00:00"},{"alias_kind":"pith_short_12","alias_value":"I7VTT3VNDEBZ","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"I7VTT3VNDEBZB75C","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"I7VTT3VN","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27","json":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27.json","graph_json":"https://pith.science/api/pith-number/I7VTT3VNDEBZB75CAWD7XZCU27/graph.json","events_json":"https://pith.science/api/pith-number/I7VTT3VNDEBZB75CAWD7XZCU27/events.json","paper":"https://pith.science/paper/I7VTT3VN"},"agent_actions":{"view_html":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27","download_json":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27.json","view_paper":"https://pith.science/paper/I7VTT3VN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.04295&json=true","fetch_graph":"https://pith.science/api/pith-number/I7VTT3VNDEBZB75CAWD7XZCU27/graph.json","fetch_events":"https://pith.science/api/pith-number/I7VTT3VNDEBZB75CAWD7XZCU27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27/action/storage_attestation","attest_author":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27/action/author_attestation","sign_citation":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27/action/citation_signature","submit_replication":"https://pith.science/pith/I7VTT3VNDEBZB75CAWD7XZCU27/action/replication_record"}},"created_at":"2026-05-18T00:02:46.101604+00:00","updated_at":"2026-05-18T00:02:46.101604+00:00"}