{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:47PDAQ6TPUPFVPYHKHDYX7O4NS","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":"778058ba34c0b45ff0cd1dffae88e714ac2d1c80f55dbee5a60aa13c9df2611b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-02T14:40:44Z","title_canon_sha256":"c6b40930fd3081ac212e93602a44b0bcf0eb8f9b8bbd4aa0f2935a21f7e338ad"},"schema_version":"1.0","source":{"id":"1503.00549","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.00549","created_at":"2026-05-18T02:25:04Z"},{"alias_kind":"arxiv_version","alias_value":"1503.00549v2","created_at":"2026-05-18T02:25:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.00549","created_at":"2026-05-18T02:25:04Z"},{"alias_kind":"pith_short_12","alias_value":"47PDAQ6TPUPF","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"47PDAQ6TPUPFVPYH","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"47PDAQ6T","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:77ee8394af95a95d95e6520cff4f1bf5eac07c100cbde7313e4f3ca45c145ff5","target":"graph","created_at":"2026-05-18T02:25:04Z","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":"A class of water wave problems concerns the dynamics of the free interface separating an inviscid, incompressible and irrotational fluid, under the influence of gravity, from a zero-density region. In this note, we present some recent methods and ideas developed concerning the local and global wellposedness of these problems, the focus is on the structural aspect of the equations.","authors_text":"Sijue Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-02T14:40:44Z","title":"Wellposedness and singularities of the water wave equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.00549","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":"sha256:1b6dcb8a3866c3cb2838f1547066266b3bd662ff992938bfed1432974e9f8c60","target":"record","created_at":"2026-05-18T02:25:04Z","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":"778058ba34c0b45ff0cd1dffae88e714ac2d1c80f55dbee5a60aa13c9df2611b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-02T14:40:44Z","title_canon_sha256":"c6b40930fd3081ac212e93602a44b0bcf0eb8f9b8bbd4aa0f2935a21f7e338ad"},"schema_version":"1.0","source":{"id":"1503.00549","kind":"arxiv","version":2}},"canonical_sha256":"e7de3043d37d1e5abf0751c78bfddc6c99ab740309adf3ae3d1eefdc50664861","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e7de3043d37d1e5abf0751c78bfddc6c99ab740309adf3ae3d1eefdc50664861","first_computed_at":"2026-05-18T02:25:04.374260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:04.374260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3anGDR/TKMWgN6B+ee31Dhk5zVkbUn31Raq4DN66b4x7ERoYChhzf4W9a+EUhWs4YXc5Lsvq360Zc2s1P1osBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:04.374669Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.00549","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b6dcb8a3866c3cb2838f1547066266b3bd662ff992938bfed1432974e9f8c60","sha256:77ee8394af95a95d95e6520cff4f1bf5eac07c100cbde7313e4f3ca45c145ff5"],"state_sha256":"3c8533bf7508c80967beecaa0f150c01d18dd15fad82d58b80723c37cd0a15c1"}