{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:HJOQJWK5CJF5ZFOEUYBLGUFASS","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":"932a8e2f1b9bd6ad0db224ae5db9a06a3426333e99125964c5a2b162ffc18a6f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-20T19:40:39Z","title_canon_sha256":"e552eec5db8b93d937125d2aaa9f5dbf2867f6bd3442a758ce90067fe3b8cb0a"},"schema_version":"1.0","source":{"id":"1111.4670","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.4670","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"arxiv_version","alias_value":"1111.4670v1","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4670","created_at":"2026-05-18T03:44:33Z"},{"alias_kind":"pith_short_12","alias_value":"HJOQJWK5CJF5","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"HJOQJWK5CJF5ZFOE","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"HJOQJWK5","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:b5144dd6eae5aad4bedfa30caf1f0e827b160a799806b9912454aa57f33b8ecd","target":"graph","created_at":"2026-05-18T03:44:33Z","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":"This paper surveys various aspects of the hydrodynamic formulation of the nonlinear Schrodinger equation obtained via the Madelung transform in connexion to models of quantum hydrodynamics and to compressible fluids of the Korteweg type.","authors_text":"Jean-Claude Saut (LM-Orsay), Rapha\\\"el Danchin (LAMA), R\\'emi Carles (I3M)","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-20T19:40:39Z","title":"Madelung, Gross-Pitaevskii and Korteweg"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4670","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:fa2c93d624f445116561a11beeb1a77a27e0e984082ef5de6ccfc9b7f2b6cbae","target":"record","created_at":"2026-05-18T03:44:33Z","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":"932a8e2f1b9bd6ad0db224ae5db9a06a3426333e99125964c5a2b162ffc18a6f","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-11-20T19:40:39Z","title_canon_sha256":"e552eec5db8b93d937125d2aaa9f5dbf2867f6bd3442a758ce90067fe3b8cb0a"},"schema_version":"1.0","source":{"id":"1111.4670","kind":"arxiv","version":1}},"canonical_sha256":"3a5d04d95d124bdc95c4a602b350a0948cc62f2dc25ff1d09e156b38659ef26b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a5d04d95d124bdc95c4a602b350a0948cc62f2dc25ff1d09e156b38659ef26b","first_computed_at":"2026-05-18T03:44:33.822260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:33.822260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M0yZM/CkhroSCMivxNMtGMrY+hKMsodaVz/O911kpYV8pkCyS2KzAeeUkBtYHMZeKk7W1fijh6pFD+URRI9JDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:33.822926Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.4670","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa2c93d624f445116561a11beeb1a77a27e0e984082ef5de6ccfc9b7f2b6cbae","sha256:b5144dd6eae5aad4bedfa30caf1f0e827b160a799806b9912454aa57f33b8ecd"],"state_sha256":"05fe7f45f8868fd416e8ef6ad9912d90563febc38c89f131101747c39f578325"}