{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B6PYQMLAUPHBEENON7ESQWB6HO","short_pith_number":"pith:B6PYQMLA","canonical_record":{"source":{"id":"1406.7573","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-30T00:38:54Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"303954d508bc6017e44ff91ed159f578f246678635b6e8566930b260c494e317","abstract_canon_sha256":"a87715bd04371bdfe6917fac236fb794b97a5d1641fdfcf33b2293fc5f6e5b16"},"schema_version":"1.0"},"canonical_sha256":"0f9f883160a3ce1211ae6fc928583e3b9be9257e60995e2aa7b846bc1b7c5e7d","source":{"kind":"arxiv","id":"1406.7573","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7573","created_at":"2026-05-18T00:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7573v2","created_at":"2026-05-18T00:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7573","created_at":"2026-05-18T00:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"B6PYQMLAUPHB","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"B6PYQMLAUPHBEENO","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"B6PYQMLA","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B6PYQMLAUPHBEENON7ESQWB6HO","target":"record","payload":{"canonical_record":{"source":{"id":"1406.7573","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-30T00:38:54Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"303954d508bc6017e44ff91ed159f578f246678635b6e8566930b260c494e317","abstract_canon_sha256":"a87715bd04371bdfe6917fac236fb794b97a5d1641fdfcf33b2293fc5f6e5b16"},"schema_version":"1.0"},"canonical_sha256":"0f9f883160a3ce1211ae6fc928583e3b9be9257e60995e2aa7b846bc1b7c5e7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:48.096215Z","signature_b64":"xHPp36sLaZJLSs9AcBdj7mO5ZGXR0ZKpNF/mjVER2QsrcvDOVzBuZHsB4LIAXeVK97Hx0YUXRAmJm9KQhhh+AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f9f883160a3ce1211ae6fc928583e3b9be9257e60995e2aa7b846bc1b7c5e7d","last_reissued_at":"2026-05-18T00:19:48.095417Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:48.095417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.7573","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jhRHZHQ6ltGmGfiSLMLjwBlxDnV/sSslWvQV08rSUIykm/zGvO5gcxb5S5lwZEaCYVeFNZkNPA/gEpj6PrL2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:10:05.568032Z"},"content_sha256":"e77832d522760669c87e19cb80983e6ad4246259285a4ce283dd1bed3ccd6430","schema_version":"1.0","event_id":"sha256:e77832d522760669c87e19cb80983e6ad4246259285a4ce283dd1bed3ccd6430"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B6PYQMLAUPHBEENON7ESQWB6HO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Priori Estimates for Two-Dimensional Water Waves with Angled Crests","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Rafe H. Kinsey, Sijue Wu","submitted_at":"2014-06-30T00:38:54Z","abstract_excerpt":"We consider the two-dimensional water wave problem in the case where the free interface of the fluid meets a vertical wall at a possibly non-right angle; and where the free interface can be non-$C^1$ with angled crests. We assume that the air has density zero, the fluid is inviscid, incompressible, irrotational, and subject to the gravitational force, and the surface tension is zero. In this regime, only a degenerate Taylor stability criterion $-\\frac{\\partial P}{\\partial \\bf {n}} \\ge 0$ holds, with degeneracies at the singularities on the interface and at the point where it meets the wall if "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7573","kind":"arxiv","version":2},"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":"2026-05-18T00:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9+xgC2BLrJDHPVvCRX6/NzuIPhbLmihU7aa+Qw+CWGBLwoTgsTP6XAfCCtcqJr2JcoFI9z2Es7JUsHLZjh1nDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:10:05.568378Z"},"content_sha256":"dec82323a2a01e6f058bdad45b5ea471e7bb2a479fcb32e83738599f362c3cfb","schema_version":"1.0","event_id":"sha256:dec82323a2a01e6f058bdad45b5ea471e7bb2a479fcb32e83738599f362c3cfb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B6PYQMLAUPHBEENON7ESQWB6HO/bundle.json","state_url":"https://pith.science/pith/B6PYQMLAUPHBEENON7ESQWB6HO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B6PYQMLAUPHBEENON7ESQWB6HO/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":"2026-06-24T19:10:05Z","links":{"resolver":"https://pith.science/pith/B6PYQMLAUPHBEENON7ESQWB6HO","bundle":"https://pith.science/pith/B6PYQMLAUPHBEENON7ESQWB6HO/bundle.json","state":"https://pith.science/pith/B6PYQMLAUPHBEENON7ESQWB6HO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B6PYQMLAUPHBEENON7ESQWB6HO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B6PYQMLAUPHBEENON7ESQWB6HO","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":"a87715bd04371bdfe6917fac236fb794b97a5d1641fdfcf33b2293fc5f6e5b16","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-30T00:38:54Z","title_canon_sha256":"303954d508bc6017e44ff91ed159f578f246678635b6e8566930b260c494e317"},"schema_version":"1.0","source":{"id":"1406.7573","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.7573","created_at":"2026-05-18T00:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1406.7573v2","created_at":"2026-05-18T00:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.7573","created_at":"2026-05-18T00:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"B6PYQMLAUPHB","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"B6PYQMLAUPHBEENO","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"B6PYQMLA","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:dec82323a2a01e6f058bdad45b5ea471e7bb2a479fcb32e83738599f362c3cfb","target":"graph","created_at":"2026-05-18T00:19:48Z","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 consider the two-dimensional water wave problem in the case where the free interface of the fluid meets a vertical wall at a possibly non-right angle; and where the free interface can be non-$C^1$ with angled crests. We assume that the air has density zero, the fluid is inviscid, incompressible, irrotational, and subject to the gravitational force, and the surface tension is zero. In this regime, only a degenerate Taylor stability criterion $-\\frac{\\partial P}{\\partial \\bf {n}} \\ge 0$ holds, with degeneracies at the singularities on the interface and at the point where it meets the wall if ","authors_text":"Rafe H. Kinsey, Sijue Wu","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-30T00:38:54Z","title":"A Priori Estimates for Two-Dimensional Water Waves with Angled Crests"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.7573","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:e77832d522760669c87e19cb80983e6ad4246259285a4ce283dd1bed3ccd6430","target":"record","created_at":"2026-05-18T00:19:48Z","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":"a87715bd04371bdfe6917fac236fb794b97a5d1641fdfcf33b2293fc5f6e5b16","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-06-30T00:38:54Z","title_canon_sha256":"303954d508bc6017e44ff91ed159f578f246678635b6e8566930b260c494e317"},"schema_version":"1.0","source":{"id":"1406.7573","kind":"arxiv","version":2}},"canonical_sha256":"0f9f883160a3ce1211ae6fc928583e3b9be9257e60995e2aa7b846bc1b7c5e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f9f883160a3ce1211ae6fc928583e3b9be9257e60995e2aa7b846bc1b7c5e7d","first_computed_at":"2026-05-18T00:19:48.095417Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:48.095417Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xHPp36sLaZJLSs9AcBdj7mO5ZGXR0ZKpNF/mjVER2QsrcvDOVzBuZHsB4LIAXeVK97Hx0YUXRAmJm9KQhhh+AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:48.096215Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.7573","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e77832d522760669c87e19cb80983e6ad4246259285a4ce283dd1bed3ccd6430","sha256:dec82323a2a01e6f058bdad45b5ea471e7bb2a479fcb32e83738599f362c3cfb"],"state_sha256":"b51eeefbc43d4e6b5404da71b5f36a9bc2415e4662fdd535569b91aa0421a7f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b9pFLHslkdQVqlgENpFqx22ARc3+r8TcBZybCj5VvXUMWunYZaMJZdzAxMH51spZEevfX/N4lArTLfBsir6mAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:10:05.570254Z","bundle_sha256":"d5fb5f931daa830305b67bf0d0e995c6edb4cd51ae157f52a204757b9e5001ec"}}