{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BIIJS3NDN2B6G5YIE6DIKWI3JK","short_pith_number":"pith:BIIJS3ND","canonical_record":{"source":{"id":"1312.6320","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-21T23:38:19Z","cross_cats_sorted":["astro-ph.CO","math-ph","math.MP","nlin.CD","physics.flu-dyn"],"title_canon_sha256":"c6d008781d15182ef3a8fb74ce6811b38159d4590d4f67e7aea71a6333aef60d","abstract_canon_sha256":"96fc57c487fe13783815e87ff3299eef9b222e395ec4bd5c000cd62dc0e4faaa"},"schema_version":"1.0"},"canonical_sha256":"0a10996da36e83e37708278685591b4abbfdf97a523a4bc278ceca1278f3f721","source":{"kind":"arxiv","id":"1312.6320","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6320","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6320v2","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6320","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"BIIJS3NDN2B6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BIIJS3NDN2B6G5YI","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BIIJS3ND","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BIIJS3NDN2B6G5YIE6DIKWI3JK","target":"record","payload":{"canonical_record":{"source":{"id":"1312.6320","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-21T23:38:19Z","cross_cats_sorted":["astro-ph.CO","math-ph","math.MP","nlin.CD","physics.flu-dyn"],"title_canon_sha256":"c6d008781d15182ef3a8fb74ce6811b38159d4590d4f67e7aea71a6333aef60d","abstract_canon_sha256":"96fc57c487fe13783815e87ff3299eef9b222e395ec4bd5c000cd62dc0e4faaa"},"schema_version":"1.0"},"canonical_sha256":"0a10996da36e83e37708278685591b4abbfdf97a523a4bc278ceca1278f3f721","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:17.570490Z","signature_b64":"DJYy2hSepybqprg/N7FZR/YjXPPkG3iHszLLjVoO3nh/WyXluFoQF4Q57dO3r+m5RdHgrGmKDqzIjpbEpkWEDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a10996da36e83e37708278685591b4abbfdf97a523a4bc278ceca1278f3f721","last_reissued_at":"2026-05-18T02:29:17.570008Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:17.570008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.6320","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":"2026-05-18T02:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a+9d+FzxMFm6ZU51lTXkSiK6uO/HBleDaiSf7tcaOTuylBm+3jlebgYdFnAEqH6qbKEA3O/0DaSK7vaXLE0bDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:41:15.361129Z"},"content_sha256":"fb3ece43d9b5143f5c3cd73fe6f37ffca4620071cebefa2abb8a8c3a65e2a5e5","schema_version":"1.0","event_id":"sha256:fb3ece43d9b5143f5c3cd73fe6f37ffca4620071cebefa2abb8a8c3a65e2a5e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BIIJS3NDN2B6G5YIE6DIKWI3JK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Time-analyticity of Lagrangian particle trajectories in ideal fluid flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","math-ph","math.MP","nlin.CD","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Uriel Frisch, Vladislav Zheligovsky","submitted_at":"2013-12-21T23:38:19Z","abstract_excerpt":"It is known that the Eulerian and Lagrangian structures of fluid flow can be drastically different; for example, ideal fluid flow can have a trivial (static) Eulerian structure, while displaying chaotic streamlines. Here we show that ideal flow with limited spatial smoothness (an initial vorticity that is just a little better than continuous), nevertheless has time-analytic Lagrangian trajectories before the initial limited smoothness is lost. For proving such results we use a little-known Lagrangian formulation of ideal fluid flow derived by Cauchy in 1815 in a manuscript submitted for a priz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6320","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":"2026-05-18T02:29:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/WjinbYIeGp8GGxW63j87NO3474UisJmQ9yObiCMJc1TvJBnY7YyMc+Nl98WW9MaQQ3Q07UPfR9d807vENU3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T10:41:15.361491Z"},"content_sha256":"c03a7f103f9a6f3e3c8f1821a8c465613b124db762f23d2b67ef1504aead27ec","schema_version":"1.0","event_id":"sha256:c03a7f103f9a6f3e3c8f1821a8c465613b124db762f23d2b67ef1504aead27ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK/bundle.json","state_url":"https://pith.science/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK/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":"2026-05-19T10:41:15Z","links":{"resolver":"https://pith.science/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK","bundle":"https://pith.science/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK/bundle.json","state":"https://pith.science/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BIIJS3NDN2B6G5YIE6DIKWI3JK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BIIJS3NDN2B6G5YIE6DIKWI3JK","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":"96fc57c487fe13783815e87ff3299eef9b222e395ec4bd5c000cd62dc0e4faaa","cross_cats_sorted":["astro-ph.CO","math-ph","math.MP","nlin.CD","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-21T23:38:19Z","title_canon_sha256":"c6d008781d15182ef3a8fb74ce6811b38159d4590d4f67e7aea71a6333aef60d"},"schema_version":"1.0","source":{"id":"1312.6320","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.6320","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"arxiv_version","alias_value":"1312.6320v2","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.6320","created_at":"2026-05-18T02:29:17Z"},{"alias_kind":"pith_short_12","alias_value":"BIIJS3NDN2B6","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BIIJS3NDN2B6G5YI","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BIIJS3ND","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:c03a7f103f9a6f3e3c8f1821a8c465613b124db762f23d2b67ef1504aead27ec","target":"graph","created_at":"2026-05-18T02:29:17Z","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":"It is known that the Eulerian and Lagrangian structures of fluid flow can be drastically different; for example, ideal fluid flow can have a trivial (static) Eulerian structure, while displaying chaotic streamlines. Here we show that ideal flow with limited spatial smoothness (an initial vorticity that is just a little better than continuous), nevertheless has time-analytic Lagrangian trajectories before the initial limited smoothness is lost. For proving such results we use a little-known Lagrangian formulation of ideal fluid flow derived by Cauchy in 1815 in a manuscript submitted for a priz","authors_text":"Uriel Frisch, Vladislav Zheligovsky","cross_cats":["astro-ph.CO","math-ph","math.MP","nlin.CD","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-21T23:38:19Z","title":"Time-analyticity of Lagrangian particle trajectories in ideal fluid flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.6320","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:fb3ece43d9b5143f5c3cd73fe6f37ffca4620071cebefa2abb8a8c3a65e2a5e5","target":"record","created_at":"2026-05-18T02:29:17Z","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":"96fc57c487fe13783815e87ff3299eef9b222e395ec4bd5c000cd62dc0e4faaa","cross_cats_sorted":["astro-ph.CO","math-ph","math.MP","nlin.CD","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-21T23:38:19Z","title_canon_sha256":"c6d008781d15182ef3a8fb74ce6811b38159d4590d4f67e7aea71a6333aef60d"},"schema_version":"1.0","source":{"id":"1312.6320","kind":"arxiv","version":2}},"canonical_sha256":"0a10996da36e83e37708278685591b4abbfdf97a523a4bc278ceca1278f3f721","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a10996da36e83e37708278685591b4abbfdf97a523a4bc278ceca1278f3f721","first_computed_at":"2026-05-18T02:29:17.570008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:17.570008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DJYy2hSepybqprg/N7FZR/YjXPPkG3iHszLLjVoO3nh/WyXluFoQF4Q57dO3r+m5RdHgrGmKDqzIjpbEpkWEDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:17.570490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.6320","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb3ece43d9b5143f5c3cd73fe6f37ffca4620071cebefa2abb8a8c3a65e2a5e5","sha256:c03a7f103f9a6f3e3c8f1821a8c465613b124db762f23d2b67ef1504aead27ec"],"state_sha256":"7d94d44aff0b0a962a91f005f45e435ff17659672f03fc86bf4d60466f4fcd0c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BGvUaHyDMhaq6SS+Pk9/3dRf1SJJJoiN5gi5qUqXvIdC0vagb0kWRQkSzDfVz0fXV44Hy3oUXJ1bnyif/AfQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T10:41:15.363124Z","bundle_sha256":"cef88698a9e80b0fe825c03cf77eb9cfa712dce908679a14a5ea3be14483634e"}}