{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KNHRC6WF4YMJSOTA5NYOL6CXI7","short_pith_number":"pith:KNHRC6WF","canonical_record":{"source":{"id":"1710.11483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-29T20:21:59Z","cross_cats_sorted":[],"title_canon_sha256":"5a689262dab3344e8700d8172ab8e7c193f87a6eecb8fc9c971efc41a973dbd2","abstract_canon_sha256":"56ba8638cf180d0d0e89d8e4eb1ef879e1f9cc8d0e10e8949df7ad33a33a343c"},"schema_version":"1.0"},"canonical_sha256":"534f117ac5e618993a60eb70e5f85747c8e03ded5c36394317936a5a4c4ab83a","source":{"kind":"arxiv","id":"1710.11483","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11483","created_at":"2026-05-18T00:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11483v1","created_at":"2026-05-18T00:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11483","created_at":"2026-05-18T00:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"KNHRC6WF4YMJ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KNHRC6WF4YMJSOTA","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KNHRC6WF","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KNHRC6WF4YMJSOTA5NYOL6CXI7","target":"record","payload":{"canonical_record":{"source":{"id":"1710.11483","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-29T20:21:59Z","cross_cats_sorted":[],"title_canon_sha256":"5a689262dab3344e8700d8172ab8e7c193f87a6eecb8fc9c971efc41a973dbd2","abstract_canon_sha256":"56ba8638cf180d0d0e89d8e4eb1ef879e1f9cc8d0e10e8949df7ad33a33a343c"},"schema_version":"1.0"},"canonical_sha256":"534f117ac5e618993a60eb70e5f85747c8e03ded5c36394317936a5a4c4ab83a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:15.580036Z","signature_b64":"A9I4lF9rBkda9u/GFcwUhHifvS0z8eYu01b8fjJN/sabZ/FPfa4vcX5HicRnSSBWwDeEKQqF+4Ym4dLETE0MBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"534f117ac5e618993a60eb70e5f85747c8e03ded5c36394317936a5a4c4ab83a","last_reissued_at":"2026-05-18T00:24:15.579290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:15.579290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.11483","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":"2026-05-18T00:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lp6HGW/QJ+E/WZcaZSjuq0Ct9lbJmux3B/mt5+/jHTRYPeQn3ae0E8DAMzs4Cahar7M0MqzAPWqvvoDgBlCdDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:14:55.474363Z"},"content_sha256":"531b4387ef48f02841d798b5160556741011cb9ae268df70543f49f092a59841","schema_version":"1.0","event_id":"sha256:531b4387ef48f02841d798b5160556741011cb9ae268df70543f49f092a59841"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KNHRC6WF4YMJSOTA5NYOL6CXI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recent advances on the global regularity for irrotational water waves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Alexandru D. Ionescu, Fabio Pusateri","submitted_at":"2017-10-29T20:21:59Z","abstract_excerpt":"We review recent progress on the long-time regularity of solutions of the Cauchy problem for the water waves equations, in two and three dimensions. We begin by introducing the free boundary Euler equations and discussing the local existence of solutions using the paradifferential approach, as in [7, 1, 2]. We then describe in a unified framework, using the Eulerian formulation, global existence results for three dimensional and two dimensional gravity waves, see [70, 146, 145, 87, 5, 6, 79, 80, 136], and our joint result with Deng and Pausader [60] on global regularity for the 3D gravity-capi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11483","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":"2026-05-18T00:24:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3e4pTYLfFQK5XTsQU8e+Wgu8umrwHiXmtKIwUHXfSck1zTvCXpSZEKdBBsN0Q8yVuH2rRaTfb/P9SOGaiRbUDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:14:55.474714Z"},"content_sha256":"093db7d2908022b382f9d30fc115ad34ff02911c075542a5da3dd769b3e0df6a","schema_version":"1.0","event_id":"sha256:093db7d2908022b382f9d30fc115ad34ff02911c075542a5da3dd769b3e0df6a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7/bundle.json","state_url":"https://pith.science/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7/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":"2026-06-21T11:14:55Z","links":{"resolver":"https://pith.science/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7","bundle":"https://pith.science/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7/bundle.json","state":"https://pith.science/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KNHRC6WF4YMJSOTA5NYOL6CXI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KNHRC6WF4YMJSOTA5NYOL6CXI7","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":"56ba8638cf180d0d0e89d8e4eb1ef879e1f9cc8d0e10e8949df7ad33a33a343c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-29T20:21:59Z","title_canon_sha256":"5a689262dab3344e8700d8172ab8e7c193f87a6eecb8fc9c971efc41a973dbd2"},"schema_version":"1.0","source":{"id":"1710.11483","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11483","created_at":"2026-05-18T00:24:15Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11483v1","created_at":"2026-05-18T00:24:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11483","created_at":"2026-05-18T00:24:15Z"},{"alias_kind":"pith_short_12","alias_value":"KNHRC6WF4YMJ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KNHRC6WF4YMJSOTA","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KNHRC6WF","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:093db7d2908022b382f9d30fc115ad34ff02911c075542a5da3dd769b3e0df6a","target":"graph","created_at":"2026-05-18T00:24:15Z","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 review recent progress on the long-time regularity of solutions of the Cauchy problem for the water waves equations, in two and three dimensions. We begin by introducing the free boundary Euler equations and discussing the local existence of solutions using the paradifferential approach, as in [7, 1, 2]. We then describe in a unified framework, using the Eulerian formulation, global existence results for three dimensional and two dimensional gravity waves, see [70, 146, 145, 87, 5, 6, 79, 80, 136], and our joint result with Deng and Pausader [60] on global regularity for the 3D gravity-capi","authors_text":"Alexandru D. Ionescu, Fabio Pusateri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-29T20:21:59Z","title":"Recent advances on the global regularity for irrotational water waves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11483","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":"sha256:531b4387ef48f02841d798b5160556741011cb9ae268df70543f49f092a59841","target":"record","created_at":"2026-05-18T00:24:15Z","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":"56ba8638cf180d0d0e89d8e4eb1ef879e1f9cc8d0e10e8949df7ad33a33a343c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-29T20:21:59Z","title_canon_sha256":"5a689262dab3344e8700d8172ab8e7c193f87a6eecb8fc9c971efc41a973dbd2"},"schema_version":"1.0","source":{"id":"1710.11483","kind":"arxiv","version":1}},"canonical_sha256":"534f117ac5e618993a60eb70e5f85747c8e03ded5c36394317936a5a4c4ab83a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"534f117ac5e618993a60eb70e5f85747c8e03ded5c36394317936a5a4c4ab83a","first_computed_at":"2026-05-18T00:24:15.579290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:15.579290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A9I4lF9rBkda9u/GFcwUhHifvS0z8eYu01b8fjJN/sabZ/FPfa4vcX5HicRnSSBWwDeEKQqF+4Ym4dLETE0MBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:15.580036Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.11483","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:531b4387ef48f02841d798b5160556741011cb9ae268df70543f49f092a59841","sha256:093db7d2908022b382f9d30fc115ad34ff02911c075542a5da3dd769b3e0df6a"],"state_sha256":"ead3e32d2c56afc955b28b563b5f2f9d5aafe9719fe82af9afb843a795df3ff9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5NPXi8j2qJiTFt6v8XKEYE97qYXkw6H2TLtodux5UP/tuhBTYXUQT+l65B/eVAQviWaNmEd+ItydFZO8uCzXCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T11:14:55.476624Z","bundle_sha256":"52dc1e7e940ac90607f4526777e232bd54202cab8b7e89ad187c4cf22ffc1f42"}}