{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:45UOCCZMV26MI5RHPOJPCNAOZD","short_pith_number":"pith:45UOCCZM","canonical_record":{"source":{"id":"1703.06026","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-17T14:26:05Z","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"title_canon_sha256":"9e92c1660c75113ae4e868a6df81c2d086a5959e924e01e0de71aaef0b210c1c","abstract_canon_sha256":"53d7137776cfc8211932b989e5309175d5393776d61bf2c2826b0b40a14050e8"},"schema_version":"1.0"},"canonical_sha256":"e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43","source":{"kind":"arxiv","id":"1703.06026","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06026","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06026v3","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06026","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"45UOCCZMV26M","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"45UOCCZMV26MI5RH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"45UOCCZM","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:45UOCCZMV26MI5RHPOJPCNAOZD","target":"record","payload":{"canonical_record":{"source":{"id":"1703.06026","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-17T14:26:05Z","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"title_canon_sha256":"9e92c1660c75113ae4e868a6df81c2d086a5959e924e01e0de71aaef0b210c1c","abstract_canon_sha256":"53d7137776cfc8211932b989e5309175d5393776d61bf2c2826b0b40a14050e8"},"schema_version":"1.0"},"canonical_sha256":"e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:41:53.069804Z","signature_b64":"ReZ10GHbW/oNP34txY/nzhCTwdj3t2YNzF/hxtYZ4DzbvBG+IDCtPyz6ee3FyQUALMK03gtOoskAFmt3h73jBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43","last_reissued_at":"2026-05-18T00:41:53.069193Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:41:53.069193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.06026","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":"2026-05-18T00:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ds9j9qgbv/QfVfRiz4pGORf9YWT1l2ODEzSV/4Nja3N0HNx/QQjlM+ec3BYrNFIgob3Pn6jTJxUTGC/dAayCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:14:22.978818Z"},"content_sha256":"8d42a92935bb8b656e58e6dee35bf258238f9c1c7544fe008b751fca774db9a6","schema_version":"1.0","event_id":"sha256:8d42a92935bb8b656e58e6dee35bf258238f9c1c7544fe008b751fca774db9a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:45UOCCZMV26MI5RHPOJPCNAOZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden Order behind Two Dimensional Random Vortices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.flu-dyn"],"primary_cat":"nlin.AO","authors_text":"Chien-chia Liu","submitted_at":"2017-03-17T14:26:05Z","abstract_excerpt":"The vortices that appear repeatedly and suggest turbulent dynamics are crucial to the understanding of sheared turbulence. These vortices produce order out of chaos, benefiting the turbulence modelling that focuses only on statistically stable quantities. In three dimensions, the hairpin vortices [J. Zhou, R. Adrian, S. Balachandar, T. Kendall, J. Fluid Mech., 387, 353 (1999); R. Adrian, Phys. Fluids, 19, 041301 (2007)] play such a fundamental role in the transport of momentum and energy for wall bounded sheared turbulence. In two dimensions where the atmospheric flow has a great play, the fun"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06026","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":"2026-05-18T00:41:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Exa/kim3DK8emS/t/zRkOGfxdP0wj5qfimsNH8CDJvoUaoNuNrRkYrwvocxJxZJT5+jEM8ayyrmzhp9wZRRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:14:22.979170Z"},"content_sha256":"8c625c1f43dfd1b37a1b36d7339d4ccb8dbb117b15a60b2fc28d19755d89c0af","schema_version":"1.0","event_id":"sha256:8c625c1f43dfd1b37a1b36d7339d4ccb8dbb117b15a60b2fc28d19755d89c0af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/45UOCCZMV26MI5RHPOJPCNAOZD/bundle.json","state_url":"https://pith.science/pith/45UOCCZMV26MI5RHPOJPCNAOZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/45UOCCZMV26MI5RHPOJPCNAOZD/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":"2026-05-31T00:14:22Z","links":{"resolver":"https://pith.science/pith/45UOCCZMV26MI5RHPOJPCNAOZD","bundle":"https://pith.science/pith/45UOCCZMV26MI5RHPOJPCNAOZD/bundle.json","state":"https://pith.science/pith/45UOCCZMV26MI5RHPOJPCNAOZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/45UOCCZMV26MI5RHPOJPCNAOZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:45UOCCZMV26MI5RHPOJPCNAOZD","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":"53d7137776cfc8211932b989e5309175d5393776d61bf2c2826b0b40a14050e8","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-17T14:26:05Z","title_canon_sha256":"9e92c1660c75113ae4e868a6df81c2d086a5959e924e01e0de71aaef0b210c1c"},"schema_version":"1.0","source":{"id":"1703.06026","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06026","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06026v3","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06026","created_at":"2026-05-18T00:41:53Z"},{"alias_kind":"pith_short_12","alias_value":"45UOCCZMV26M","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"45UOCCZMV26MI5RH","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"45UOCCZM","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:8c625c1f43dfd1b37a1b36d7339d4ccb8dbb117b15a60b2fc28d19755d89c0af","target":"graph","created_at":"2026-05-18T00:41:53Z","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 vortices that appear repeatedly and suggest turbulent dynamics are crucial to the understanding of sheared turbulence. These vortices produce order out of chaos, benefiting the turbulence modelling that focuses only on statistically stable quantities. In three dimensions, the hairpin vortices [J. Zhou, R. Adrian, S. Balachandar, T. Kendall, J. Fluid Mech., 387, 353 (1999); R. Adrian, Phys. Fluids, 19, 041301 (2007)] play such a fundamental role in the transport of momentum and energy for wall bounded sheared turbulence. In two dimensions where the atmospheric flow has a great play, the fun","authors_text":"Chien-chia Liu","cross_cats":["cond-mat.soft","physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-17T14:26:05Z","title":"Hidden Order behind Two Dimensional Random Vortices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06026","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":"sha256:8d42a92935bb8b656e58e6dee35bf258238f9c1c7544fe008b751fca774db9a6","target":"record","created_at":"2026-05-18T00:41:53Z","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":"53d7137776cfc8211932b989e5309175d5393776d61bf2c2826b0b40a14050e8","cross_cats_sorted":["cond-mat.soft","physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2017-03-17T14:26:05Z","title_canon_sha256":"9e92c1660c75113ae4e868a6df81c2d086a5959e924e01e0de71aaef0b210c1c"},"schema_version":"1.0","source":{"id":"1703.06026","kind":"arxiv","version":3}},"canonical_sha256":"e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e768e10b2caebcc476277b92f1340ec8c7d79b061d042e6a1fdd769a1f706d43","first_computed_at":"2026-05-18T00:41:53.069193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:41:53.069193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ReZ10GHbW/oNP34txY/nzhCTwdj3t2YNzF/hxtYZ4DzbvBG+IDCtPyz6ee3FyQUALMK03gtOoskAFmt3h73jBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:41:53.069804Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06026","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d42a92935bb8b656e58e6dee35bf258238f9c1c7544fe008b751fca774db9a6","sha256:8c625c1f43dfd1b37a1b36d7339d4ccb8dbb117b15a60b2fc28d19755d89c0af"],"state_sha256":"f52c30f65c49408af9cccf6a4ecdef49fc1109304949ba3bab6201f577a01b83"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uC0oYqpxuI8DepbKN6c9d0w+L64NH8VW00kFbzOY7eeP/E7h31O05c0uzPajridz0eDIWbnx3ze4VH8G3IPTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:14:22.981075Z","bundle_sha256":"fa08dc75b6ed81b4eb9dcec421a4660a131c627269385c06dd4631c8aad3d984"}}