{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:TG66SDZ6NMB3RQUOZQGFWLIAFC","short_pith_number":"pith:TG66SDZ6","canonical_record":{"source":{"id":"math-ph/0404003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-04-01T16:02:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"add9247db33f614a7e53a82d6b7a6bdd85af190de95c16d0af3a6a6884bb859f","abstract_canon_sha256":"cf9c06f73d8e414536d2e2a252f8d5a623fcc0aa7dc68ca80740479c6876f276"},"schema_version":"1.0"},"canonical_sha256":"99bde90f3e6b03b8c28ecc0c5b2d0028b9492ebcbadcbbea364151bd93f576d3","source":{"kind":"arxiv","id":"math-ph/0404003","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:TG66SDZ6NMB3RQUOZQGFWLIAFC","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0404003","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2004-04-01T16:02:17Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"add9247db33f614a7e53a82d6b7a6bdd85af190de95c16d0af3a6a6884bb859f","abstract_canon_sha256":"cf9c06f73d8e414536d2e2a252f8d5a623fcc0aa7dc68ca80740479c6876f276"},"schema_version":"1.0"},"canonical_sha256":"99bde90f3e6b03b8c28ecc0c5b2d0028b9492ebcbadcbbea364151bd93f576d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:43.863924Z","signature_b64":"aPEKKFLuHB6Yj2iJDb2DdDPpaks44a7R0BC4DvMM7E37fYnI2M9wb1EXn3VVrWpUKezLA9/QfgdoJai5aIdSCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99bde90f3e6b03b8c28ecc0c5b2d0028b9492ebcbadcbbea364151bd93f576d3","last_reissued_at":"2026-05-18T01:35:43.863549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:43.863549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0404003","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":"2026-05-18T01:35:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gF+I/vsf1QUfpcMrNR2GuN9LsXv/MH6/WpoXjpMInu/92n6xJ5hBc0Ld6bgOCgx36FRypfOHZoC35YEUl+lTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T12:51:31.743867Z"},"content_sha256":"17275b3b86c687d8ce72011a75e6211be8e9cd43e9d1c0e2ef2efa33fc4cc446","schema_version":"1.0","event_id":"sha256:17275b3b86c687d8ce72011a75e6211be8e9cd43e9d1c0e2ef2efa33fc4cc446"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:TG66SDZ6NMB3RQUOZQGFWLIAFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Maslov Conjecture about Square Root Type Singular Solutions of the Shallow Water Equations","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"E. Semenov, K. Pankrashkin, S. Dobrokhotov","submitted_at":"2004-04-01T16:02:17Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0404003","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":""},"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":"2026-05-18T01:35:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tNHDkLvh0JIVvO4me9vItoZr1Jj3STm15lCCKiVLPNG9MaEXWgX5NQFe9ySLFoBq5kicJ8JHWMxIQsiLEWVnDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T12:51:31.744215Z"},"content_sha256":"bd8188fc9c2ef393297b9bd6bf2266c7f5565a4399640334d83055444974e98a","schema_version":"1.0","event_id":"sha256:bd8188fc9c2ef393297b9bd6bf2266c7f5565a4399640334d83055444974e98a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC/bundle.json","state_url":"https://pith.science/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC/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":"2026-06-26T12:51:31Z","links":{"resolver":"https://pith.science/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC","bundle":"https://pith.science/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC/bundle.json","state":"https://pith.science/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TG66SDZ6NMB3RQUOZQGFWLIAFC/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dUBmzq6zij/IZDmAL+5JAnXtZEsoBDIf6I9Xls6LQrM3wvcjPZwgLUIx3Qx/ZfFtM4+sZH4+ElRzgACZ5dgaAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T12:51:31.746223Z","bundle_sha256":"b9f45a2786006cf387eb9b3c20a4dce91aeefba42cf6f06da1970e794c636d00"}}