{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7AGKWFFN3XMVDEBBMXQM2UEP6H","short_pith_number":"pith:7AGKWFFN","canonical_record":{"source":{"id":"1410.7246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-24T12:51:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6daa6242a69d4f98c29d5aeee14d94fa3c98efa49fcfdec3bb2e6bdc11ba893a","abstract_canon_sha256":"03d1328d2d77c9dfb6b7aecf6762a23eca036ab6fa8d52b5463047b83510ba63"},"schema_version":"1.0"},"canonical_sha256":"f80cab14adddd951902165e0cd508ff1f3cc04e29687c4cbdd8c93f0437c506f","source":{"kind":"arxiv","id":"1410.7246","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7246","created_at":"2026-05-18T01:55:08Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7246v1","created_at":"2026-05-18T01:55:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7246","created_at":"2026-05-18T01:55:08Z"},{"alias_kind":"pith_short_12","alias_value":"7AGKWFFN3XMV","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7AGKWFFN3XMVDEBB","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7AGKWFFN","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7AGKWFFN3XMVDEBBMXQM2UEP6H","target":"record","payload":{"canonical_record":{"source":{"id":"1410.7246","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-24T12:51:20Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6daa6242a69d4f98c29d5aeee14d94fa3c98efa49fcfdec3bb2e6bdc11ba893a","abstract_canon_sha256":"03d1328d2d77c9dfb6b7aecf6762a23eca036ab6fa8d52b5463047b83510ba63"},"schema_version":"1.0"},"canonical_sha256":"f80cab14adddd951902165e0cd508ff1f3cc04e29687c4cbdd8c93f0437c506f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:55:08.076486Z","signature_b64":"XUrHZ2TX/mQOi0q51XqdN9YGhXWlOFF1xKnJQPxLFaQzFzsy3otBdNU4CJUs1xFGu0ffGRtNyDril18QySAyCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f80cab14adddd951902165e0cd508ff1f3cc04e29687c4cbdd8c93f0437c506f","last_reissued_at":"2026-05-18T01:55:08.075787Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:55:08.075787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.7246","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":"2026-05-18T01:55:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3enK3NhL3LYdvLWbg2Pybx0FCbzHaT5hsvK0DaoKZDzI3RxhWinz7nhPNIBqR8zh6v0z8/Oq+QcEfZlbEjAMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:19:58.960262Z"},"content_sha256":"da8a2119894c14a05c1cc085a71dea96e41330dbe65382bb65ef62d31c59127d","schema_version":"1.0","event_id":"sha256:da8a2119894c14a05c1cc085a71dea96e41330dbe65382bb65ef62d31c59127d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7AGKWFFN3XMVDEBBMXQM2UEP6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Kinematic Conservation Law in Free Surface Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.flu-dyn","authors_text":"Henrik Kalisch, Sergey Gavrilyuk, Zahra Khorsand","submitted_at":"2014-10-24T12:51:20Z","abstract_excerpt":"The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the surface of a shallow layer of a perfect fluid. The system has three associated conservation laws which describe the conservation of mass, momentum, and energy due to the surface wave motion. In addition, the system features a fourth conservation law which is the main focus of this note. It is shown how this fourth conservation law can be interpreted in terms of a concrete kinematic quantity connected to the evolution of the tangent velocity at the free surface. The equation for the tangent velo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7246","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":"2026-05-18T01:55:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xuzA3v/eLgk5BhTDgU23Rs/GLJpHvgHvSxpxmNx808a4QadF+ChJQHYlLSyFNEIWpCCvs1UErdlkF342mZBuBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T06:19:58.961012Z"},"content_sha256":"6b65862b8e141467f5aebda97e1bf9d8227ff0c084da8191a6b70bb58333550d","schema_version":"1.0","event_id":"sha256:6b65862b8e141467f5aebda97e1bf9d8227ff0c084da8191a6b70bb58333550d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H/bundle.json","state_url":"https://pith.science/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H/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":"2026-06-11T06:19:58Z","links":{"resolver":"https://pith.science/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H","bundle":"https://pith.science/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H/bundle.json","state":"https://pith.science/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AGKWFFN3XMVDEBBMXQM2UEP6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7AGKWFFN3XMVDEBBMXQM2UEP6H","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":"03d1328d2d77c9dfb6b7aecf6762a23eca036ab6fa8d52b5463047b83510ba63","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-24T12:51:20Z","title_canon_sha256":"6daa6242a69d4f98c29d5aeee14d94fa3c98efa49fcfdec3bb2e6bdc11ba893a"},"schema_version":"1.0","source":{"id":"1410.7246","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.7246","created_at":"2026-05-18T01:55:08Z"},{"alias_kind":"arxiv_version","alias_value":"1410.7246v1","created_at":"2026-05-18T01:55:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.7246","created_at":"2026-05-18T01:55:08Z"},{"alias_kind":"pith_short_12","alias_value":"7AGKWFFN3XMV","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"7AGKWFFN3XMVDEBB","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"7AGKWFFN","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:6b65862b8e141467f5aebda97e1bf9d8227ff0c084da8191a6b70bb58333550d","target":"graph","created_at":"2026-05-18T01:55:08Z","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":"The Green-Naghdi system is used to model highly nonlinear weakly dispersive waves propagating at the surface of a shallow layer of a perfect fluid. The system has three associated conservation laws which describe the conservation of mass, momentum, and energy due to the surface wave motion. In addition, the system features a fourth conservation law which is the main focus of this note. It is shown how this fourth conservation law can be interpreted in terms of a concrete kinematic quantity connected to the evolution of the tangent velocity at the free surface. The equation for the tangent velo","authors_text":"Henrik Kalisch, Sergey Gavrilyuk, Zahra Khorsand","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-24T12:51:20Z","title":"A Kinematic Conservation Law in Free Surface Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.7246","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:da8a2119894c14a05c1cc085a71dea96e41330dbe65382bb65ef62d31c59127d","target":"record","created_at":"2026-05-18T01:55:08Z","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":"03d1328d2d77c9dfb6b7aecf6762a23eca036ab6fa8d52b5463047b83510ba63","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2014-10-24T12:51:20Z","title_canon_sha256":"6daa6242a69d4f98c29d5aeee14d94fa3c98efa49fcfdec3bb2e6bdc11ba893a"},"schema_version":"1.0","source":{"id":"1410.7246","kind":"arxiv","version":1}},"canonical_sha256":"f80cab14adddd951902165e0cd508ff1f3cc04e29687c4cbdd8c93f0437c506f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f80cab14adddd951902165e0cd508ff1f3cc04e29687c4cbdd8c93f0437c506f","first_computed_at":"2026-05-18T01:55:08.075787Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:55:08.075787Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XUrHZ2TX/mQOi0q51XqdN9YGhXWlOFF1xKnJQPxLFaQzFzsy3otBdNU4CJUs1xFGu0ffGRtNyDril18QySAyCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:55:08.076486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.7246","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da8a2119894c14a05c1cc085a71dea96e41330dbe65382bb65ef62d31c59127d","sha256:6b65862b8e141467f5aebda97e1bf9d8227ff0c084da8191a6b70bb58333550d"],"state_sha256":"a5a18369e133baec2879fbebf55c6b7cc9ae9429b00e47cb8f762ceea745fbef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tkBQolBzRG9Jqe7crbwxVgikip+w6PUGQeeyJFl1oLCIXEzlwfJDN2M9vziBsuEI5Viokqf7extVsuh9wMffAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T06:19:58.965195Z","bundle_sha256":"1caa19238b96a838b0f327f18ae4cc89ba5261942e2e1e3f385d6b8ab4a2588c"}}