{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5YBJLXZOUKLCSZBE6OA2KAISLF","short_pith_number":"pith:5YBJLXZO","canonical_record":{"source":{"id":"1311.1882","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-08T05:26:14Z","cross_cats_sorted":["nlin.PS","physics.ao-ph","physics.comp-ph"],"title_canon_sha256":"11207ec183cc1c38d27f1229586bebbb219747ce782b243cd3e9f07465bbec4f","abstract_canon_sha256":"d831aac9626597f83818db711ef9fb6b1dec8c8c6fed241603f13ddea4c9b060"},"schema_version":"1.0"},"canonical_sha256":"ee0295df2ea296296424f381a50112595d39ed8e1b7750077ccdf795c4bc1933","source":{"kind":"arxiv","id":"1311.1882","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1882","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1882v1","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1882","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"pith_short_12","alias_value":"5YBJLXZOUKLC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5YBJLXZOUKLCSZBE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5YBJLXZO","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5YBJLXZOUKLCSZBE6OA2KAISLF","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1882","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-08T05:26:14Z","cross_cats_sorted":["nlin.PS","physics.ao-ph","physics.comp-ph"],"title_canon_sha256":"11207ec183cc1c38d27f1229586bebbb219747ce782b243cd3e9f07465bbec4f","abstract_canon_sha256":"d831aac9626597f83818db711ef9fb6b1dec8c8c6fed241603f13ddea4c9b060"},"schema_version":"1.0"},"canonical_sha256":"ee0295df2ea296296424f381a50112595d39ed8e1b7750077ccdf795c4bc1933","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:27.214336Z","signature_b64":"fTDnunoYUK2b3xlsBo+p6u7gkjBtB1/D7EbV+cQyRBiRwEWWUhRaQiIktpA1PulbJpCqHrX4UGWWBoWxh2GkAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee0295df2ea296296424f381a50112595d39ed8e1b7750077ccdf795c4bc1933","last_reissued_at":"2026-05-18T02:48:27.213638Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:27.213638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1882","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":"2026-05-18T02:48:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U5Sl5Ox0Gu/RSj/i81XLf2QBF7oVhHBhM3DdE8L8OCe0CuwW0GRQw1D83P+DjQ8Bmtq8jt204WiASqaV9g3ODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:53:08.485384Z"},"content_sha256":"144639bf7933cf7a3b6b59c0f241e1ebd2bd2976512bb7f2d6762c8875be68ff","schema_version":"1.0","event_id":"sha256:144639bf7933cf7a3b6b59c0f241e1ebd2bd2976512bb7f2d6762c8875be68ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5YBJLXZOUKLCSZBE6OA2KAISLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The complex singularity of a Stokes wave","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS","physics.ao-ph","physics.comp-ph"],"primary_cat":"physics.flu-dyn","authors_text":"2), 2) ((1) Department of Mathematics, (2) Landau Institute for Theoretical Physics, A.O. Korotkevich (1, P.M. Lushnikov (1, Russia), S.A. Dyachenko (1), Statistics, University of New Mexico, USA","submitted_at":"2013-11-08T05:26:14Z","abstract_excerpt":"Two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth can be described by a conformal map of the fluid domain into the complex lower half-plane. Stokes wave is the fully nonlinear gravity wave propagating with the constant velocity. The increase of the scaled wave height $H/\\lambda$ from the linear limit $H/\\lambda=0$ to the critical value $H_{max}/\\lambda$ marks the transition from the limit of almost linear wave to a strongly nonlinear limiting Stokes wave. Here $H$ is the wave height and $\\lambda$ is the wavelength. We simulated fully nonlinea"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1882","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":"2026-05-18T02:48:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F9AYymZzo/LMsYqyX0gd9RhLsxVesCt0IsckmkeNynLdnLInJapfpEl2LLr0OnnwFPCBJou1wniNc1u6ReHXCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T09:53:08.485813Z"},"content_sha256":"6b0bc06b264d49a478830778c7285b0f84a45f58aea768cb97ca85bb486664ca","schema_version":"1.0","event_id":"sha256:6b0bc06b264d49a478830778c7285b0f84a45f58aea768cb97ca85bb486664ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5YBJLXZOUKLCSZBE6OA2KAISLF/bundle.json","state_url":"https://pith.science/pith/5YBJLXZOUKLCSZBE6OA2KAISLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5YBJLXZOUKLCSZBE6OA2KAISLF/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":"2026-06-25T09:53:08Z","links":{"resolver":"https://pith.science/pith/5YBJLXZOUKLCSZBE6OA2KAISLF","bundle":"https://pith.science/pith/5YBJLXZOUKLCSZBE6OA2KAISLF/bundle.json","state":"https://pith.science/pith/5YBJLXZOUKLCSZBE6OA2KAISLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5YBJLXZOUKLCSZBE6OA2KAISLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5YBJLXZOUKLCSZBE6OA2KAISLF","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":"d831aac9626597f83818db711ef9fb6b1dec8c8c6fed241603f13ddea4c9b060","cross_cats_sorted":["nlin.PS","physics.ao-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-08T05:26:14Z","title_canon_sha256":"11207ec183cc1c38d27f1229586bebbb219747ce782b243cd3e9f07465bbec4f"},"schema_version":"1.0","source":{"id":"1311.1882","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1882","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1882v1","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1882","created_at":"2026-05-18T02:48:27Z"},{"alias_kind":"pith_short_12","alias_value":"5YBJLXZOUKLC","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5YBJLXZOUKLCSZBE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5YBJLXZO","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:6b0bc06b264d49a478830778c7285b0f84a45f58aea768cb97ca85bb486664ca","target":"graph","created_at":"2026-05-18T02:48:27Z","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":"Two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth can be described by a conformal map of the fluid domain into the complex lower half-plane. Stokes wave is the fully nonlinear gravity wave propagating with the constant velocity. The increase of the scaled wave height $H/\\lambda$ from the linear limit $H/\\lambda=0$ to the critical value $H_{max}/\\lambda$ marks the transition from the limit of almost linear wave to a strongly nonlinear limiting Stokes wave. Here $H$ is the wave height and $\\lambda$ is the wavelength. We simulated fully nonlinea","authors_text":"2), 2) ((1) Department of Mathematics, (2) Landau Institute for Theoretical Physics, A.O. Korotkevich (1, P.M. Lushnikov (1, Russia), S.A. Dyachenko (1), Statistics, University of New Mexico, USA","cross_cats":["nlin.PS","physics.ao-ph","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-08T05:26:14Z","title":"The complex singularity of a Stokes wave"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1882","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":"sha256:144639bf7933cf7a3b6b59c0f241e1ebd2bd2976512bb7f2d6762c8875be68ff","target":"record","created_at":"2026-05-18T02:48:27Z","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":"d831aac9626597f83818db711ef9fb6b1dec8c8c6fed241603f13ddea4c9b060","cross_cats_sorted":["nlin.PS","physics.ao-ph","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-11-08T05:26:14Z","title_canon_sha256":"11207ec183cc1c38d27f1229586bebbb219747ce782b243cd3e9f07465bbec4f"},"schema_version":"1.0","source":{"id":"1311.1882","kind":"arxiv","version":1}},"canonical_sha256":"ee0295df2ea296296424f381a50112595d39ed8e1b7750077ccdf795c4bc1933","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee0295df2ea296296424f381a50112595d39ed8e1b7750077ccdf795c4bc1933","first_computed_at":"2026-05-18T02:48:27.213638Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:27.213638Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fTDnunoYUK2b3xlsBo+p6u7gkjBtB1/D7EbV+cQyRBiRwEWWUhRaQiIktpA1PulbJpCqHrX4UGWWBoWxh2GkAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:27.214336Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1882","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:144639bf7933cf7a3b6b59c0f241e1ebd2bd2976512bb7f2d6762c8875be68ff","sha256:6b0bc06b264d49a478830778c7285b0f84a45f58aea768cb97ca85bb486664ca"],"state_sha256":"82dfc5c77458a0ef0bfaf2c92e463ccedd24faa252c0a3c79be28feb45d2646c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HltbNLoQdi2DT+pxSZmubL6pzMesahvZu/WGLt2+7izdyTzgOHrQSismNOI9IOlK+Rwvvp6y9axq5XnobmnaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T09:53:08.487781Z","bundle_sha256":"b3ae674927d728cbbb6b5b0619530808e4ddf4417edb7eae9b1f62e04b143712"}}