{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:TG66SDZ6NMB3RQUOZQGFWLIAFC","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":"cf9c06f73d8e414536d2e2a252f8d5a623fcc0aa7dc68ca80740479c6876f276","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-04-01T16:02:17Z","title_canon_sha256":"add9247db33f614a7e53a82d6b7a6bdd85af190de95c16d0af3a6a6884bb859f"},"schema_version":"1.0","source":{"id":"math-ph/0404003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0404003","created_at":"2026-05-18T01:35:43Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0404003v1","created_at":"2026-05-18T01:35:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0404003","created_at":"2026-05-18T01:35:43Z"},{"alias_kind":"pith_short_12","alias_value":"TG66SDZ6NMB3","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"TG66SDZ6NMB3RQUO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"TG66SDZ6","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:bd8188fc9c2ef393297b9bd6bf2266c7f5565a4399640334d83055444974e98a","target":"graph","created_at":"2026-05-18T01:35:43Z","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 prove Maslov's conjecture that the structure of the type of square root of a quadratic form is the unique structure of weakly singular solutions (with a point singularity) of the shallow water equations with the properties of asymptotic self-similarity and stability. This fact plays a key role in the study of the dynamics of vortical singularities and their applications to the description of typhoon trajectories.","authors_text":"E. Semenov, K. Pankrashkin, S. Dobrokhotov","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2004-04-01T16:02:17Z","title":"On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0404003","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":"sha256:17275b3b86c687d8ce72011a75e6211be8e9cd43e9d1c0e2ef2efa33fc4cc446","target":"record","created_at":"2026-05-18T01:35:43Z","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":"cf9c06f73d8e414536d2e2a252f8d5a623fcc0aa7dc68ca80740479c6876f276","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2004-04-01T16:02:17Z","title_canon_sha256":"add9247db33f614a7e53a82d6b7a6bdd85af190de95c16d0af3a6a6884bb859f"},"schema_version":"1.0","source":{"id":"math-ph/0404003","kind":"arxiv","version":1}},"canonical_sha256":"99bde90f3e6b03b8c28ecc0c5b2d0028b9492ebcbadcbbea364151bd93f576d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99bde90f3e6b03b8c28ecc0c5b2d0028b9492ebcbadcbbea364151bd93f576d3","first_computed_at":"2026-05-18T01:35:43.863549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:43.863549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aPEKKFLuHB6Yj2iJDb2DdDPpaks44a7R0BC4DvMM7E37fYnI2M9wb1EXn3VVrWpUKezLA9/QfgdoJai5aIdSCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:43.863924Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0404003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17275b3b86c687d8ce72011a75e6211be8e9cd43e9d1c0e2ef2efa33fc4cc446","sha256:bd8188fc9c2ef393297b9bd6bf2266c7f5565a4399640334d83055444974e98a"],"state_sha256":"25cae391bce32003b07cdac62705aa26d7e39a007a9b5b147c23890eaec7090d"}