{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ZTGW7724SL7LCE7MNWZ7WFDXYF","short_pith_number":"pith:ZTGW7724","canonical_record":{"source":{"id":"1903.05349","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-03-13T07:58:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b232b212e285e28fe49d2468987ec6b5002cc400c37eb89acfebf479a1e8bb73","abstract_canon_sha256":"15f36da17bd135e6c9c072b58ad88549aa94fef9a8858ff51b2562a023b919e4"},"schema_version":"1.0"},"canonical_sha256":"cccd6fff5c92feb113ec6db3fb1477c165573fccbfd88cd8ac8c4a77d2c73f3d","source":{"kind":"arxiv","id":"1903.05349","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05349","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05349v3","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05349","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZTGW7724SL7L","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZTGW7724SL7LCE7M","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZTGW7724","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ZTGW7724SL7LCE7MNWZ7WFDXYF","target":"record","payload":{"canonical_record":{"source":{"id":"1903.05349","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-03-13T07:58:10Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b232b212e285e28fe49d2468987ec6b5002cc400c37eb89acfebf479a1e8bb73","abstract_canon_sha256":"15f36da17bd135e6c9c072b58ad88549aa94fef9a8858ff51b2562a023b919e4"},"schema_version":"1.0"},"canonical_sha256":"cccd6fff5c92feb113ec6db3fb1477c165573fccbfd88cd8ac8c4a77d2c73f3d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:42.401052Z","signature_b64":"jjFARR4lrCgvbAGnbO/ZJ4OxROxWfoMbVcEWnhiktEhzyRQYvBYUDLXKK3pg7+Lf4NG+TjijJwHHx/r7fElnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cccd6fff5c92feb113ec6db3fb1477c165573fccbfd88cd8ac8c4a77d2c73f3d","last_reissued_at":"2026-05-17T23:44:42.400431Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:42.400431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.05349","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ko3JL9MWDDx4C60ASIetoTzj9pTIK6HG8m+0wEHVi7B3xVY3F4un/KJ5XQTRJyA9b08HKqkNGGqh4R2bSYTgDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:13:06.625899Z"},"content_sha256":"5010be26191897eb2713a269e026079050f6c092180e2d87a336a57159b1e5ab","schema_version":"1.0","event_id":"sha256:5010be26191897eb2713a269e026079050f6c092180e2d87a336a57159b1e5ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ZTGW7724SL7LCE7MNWZ7WFDXYF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometrical and topological description of chirality-relevant flow structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.flu-dyn","authors_text":"Jian-Zhou Zhu, Wennan Zou, Xin Liu","submitted_at":"2019-03-13T07:58:10Z","abstract_excerpt":"Issues relevant to the flow chirality and structure are focused, while the new theoretical results, including even a distinctive theory, are introduced. However, it is hope that the presentation, with a low starting point but a steep rise, is appropriate for a broader spectrum of audiences ranging from students to researchers, thus illustrations of differential forms and relevant basic topological concepts are also offered, followed by the demonstration with formulation of differential forms of the classical Navier-Stokes flow theory and the discussions of recent studies in fundamental fluid m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05349","kind":"arxiv","version":3},"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":"2026-05-17T23:44:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HjwERjmEx+WZJf70nYAjGcNBVZg/+t/OOrqNVBU9gAgjEMPrBTBzieFg0IqzQGaWboNKdUQbkyDMFe9I62nfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:13:06.626658Z"},"content_sha256":"95a3d90f47622b95af387ab92fd529b0cd11348cc2110c115b4e8ca4496f9371","schema_version":"1.0","event_id":"sha256:95a3d90f47622b95af387ab92fd529b0cd11348cc2110c115b4e8ca4496f9371"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF/bundle.json","state_url":"https://pith.science/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF/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":"2026-05-31T22:13:06Z","links":{"resolver":"https://pith.science/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF","bundle":"https://pith.science/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF/bundle.json","state":"https://pith.science/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZTGW7724SL7LCE7MNWZ7WFDXYF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZTGW7724SL7LCE7MNWZ7WFDXYF","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":"15f36da17bd135e6c9c072b58ad88549aa94fef9a8858ff51b2562a023b919e4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-03-13T07:58:10Z","title_canon_sha256":"b232b212e285e28fe49d2468987ec6b5002cc400c37eb89acfebf479a1e8bb73"},"schema_version":"1.0","source":{"id":"1903.05349","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05349","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05349v3","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05349","created_at":"2026-05-17T23:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"ZTGW7724SL7L","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZTGW7724SL7LCE7M","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZTGW7724","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:95a3d90f47622b95af387ab92fd529b0cd11348cc2110c115b4e8ca4496f9371","target":"graph","created_at":"2026-05-17T23:44:42Z","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":"Issues relevant to the flow chirality and structure are focused, while the new theoretical results, including even a distinctive theory, are introduced. However, it is hope that the presentation, with a low starting point but a steep rise, is appropriate for a broader spectrum of audiences ranging from students to researchers, thus illustrations of differential forms and relevant basic topological concepts are also offered, followed by the demonstration with formulation of differential forms of the classical Navier-Stokes flow theory and the discussions of recent studies in fundamental fluid m","authors_text":"Jian-Zhou Zhu, Wennan Zou, Xin Liu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-03-13T07:58:10Z","title":"Geometrical and topological description of chirality-relevant flow structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05349","kind":"arxiv","version":3},"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":"sha256:5010be26191897eb2713a269e026079050f6c092180e2d87a336a57159b1e5ab","target":"record","created_at":"2026-05-17T23:44:42Z","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":"15f36da17bd135e6c9c072b58ad88549aa94fef9a8858ff51b2562a023b919e4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-03-13T07:58:10Z","title_canon_sha256":"b232b212e285e28fe49d2468987ec6b5002cc400c37eb89acfebf479a1e8bb73"},"schema_version":"1.0","source":{"id":"1903.05349","kind":"arxiv","version":3}},"canonical_sha256":"cccd6fff5c92feb113ec6db3fb1477c165573fccbfd88cd8ac8c4a77d2c73f3d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cccd6fff5c92feb113ec6db3fb1477c165573fccbfd88cd8ac8c4a77d2c73f3d","first_computed_at":"2026-05-17T23:44:42.400431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:42.400431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jjFARR4lrCgvbAGnbO/ZJ4OxROxWfoMbVcEWnhiktEhzyRQYvBYUDLXKK3pg7+Lf4NG+TjijJwHHx/r7fElnCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:42.401052Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.05349","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5010be26191897eb2713a269e026079050f6c092180e2d87a336a57159b1e5ab","sha256:95a3d90f47622b95af387ab92fd529b0cd11348cc2110c115b4e8ca4496f9371"],"state_sha256":"70dd9bfd85d342080da2bc3c5e405719cdb2b07ac645a59557931d520c8d5ed6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FW6ClViIcEE5Ac9cpNAE7RgvTjcIdsJAOrTiNBK8l++t/XNxGlcUBjD9fmP9cQ5+drwTcHQQ7R3scp69jYI2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:13:06.631926Z","bundle_sha256":"3b607e7224a3b4ac3dfcf0027bb63e2f76949c1cbf0202ba26b326ab5d452d50"}}