{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VUE6462AFZ6ANUQWIJKXQ5UIHJ","short_pith_number":"pith:VUE6462A","canonical_record":{"source":{"id":"1907.03420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-07-08T06:45:10Z","cross_cats_sorted":[],"title_canon_sha256":"668da64023591562083353d269ac5324497ea0e2ae9b9899e5afa437b169be8a","abstract_canon_sha256":"ca92932fbdac020d7e045f1970eeb0330e154575f33144dc9ad4b394ab9e1d7b"},"schema_version":"1.0"},"canonical_sha256":"ad09ee7b402e7c06d21642557876883a656b25c2aae7a7d51564893e427f2e44","source":{"kind":"arxiv","id":"1907.03420","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03420","created_at":"2026-05-17T23:41:16Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03420v1","created_at":"2026-05-17T23:41:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03420","created_at":"2026-05-17T23:41:16Z"},{"alias_kind":"pith_short_12","alias_value":"VUE6462AFZ6A","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VUE6462AFZ6ANUQW","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VUE6462A","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VUE6462AFZ6ANUQWIJKXQ5UIHJ","target":"record","payload":{"canonical_record":{"source":{"id":"1907.03420","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-07-08T06:45:10Z","cross_cats_sorted":[],"title_canon_sha256":"668da64023591562083353d269ac5324497ea0e2ae9b9899e5afa437b169be8a","abstract_canon_sha256":"ca92932fbdac020d7e045f1970eeb0330e154575f33144dc9ad4b394ab9e1d7b"},"schema_version":"1.0"},"canonical_sha256":"ad09ee7b402e7c06d21642557876883a656b25c2aae7a7d51564893e427f2e44","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:16.278244Z","signature_b64":"uioQ+aH/FQOaZMP9ANu1o5jp1rkvTuEJqORQgb0blKVbV6dJkGlk44l39TrCR6FaDSTAqPe3ZEKPXElUoVeOAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad09ee7b402e7c06d21642557876883a656b25c2aae7a7d51564893e427f2e44","last_reissued_at":"2026-05-17T23:41:16.277729Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:16.277729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.03420","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":"2026-05-17T23:41:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TX3OAjEM1/6u5QkTPLuW0NshkhNUHiRxR/ALjnr11c4YAVgU1B2zeyOwQsH7IhkRG0m3x4HYyW7/n/ol5WmEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:45:41.942015Z"},"content_sha256":"31ad52ec7a0de58ee25889895eefa01abc12a8f7629e46e8d06c591ca86a8163","schema_version":"1.0","event_id":"sha256:31ad52ec7a0de58ee25889895eefa01abc12a8f7629e46e8d06c591ca86a8163"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VUE6462AFZ6ANUQWIJKXQ5UIHJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Knot spectrum of turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. W. Baggaley, C. F. Barenghi, M. Mesgarnezhad, R. G. Cooper","submitted_at":"2019-07-08T06:45:10Z","abstract_excerpt":"Streamlines, vortex lines and magnetic flux tubes in turbulent fluids and plasmas display a great amount of coiling, twisting and linking, raising the question as to whether their topological complexity (continually created and destroyed by reconnections) can be quantified. In superfluid helium, the discrete (quantized) nature of vorticity can be exploited to associate to each vortex loop a knot invariant called the Alexander polynomial whose degree characterizes the topology of that vortex loop. By numerically simulating the dynamics of a tangle of quantum vortex lines, we find that this quan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03420","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":"2026-05-17T23:41:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zc3+UP8ip+VYH/2Hc8vS/I0ZO0Tlp02Krp+fOoeD7Nes+LPQoqw4LsrSbG4PlQdCllE8oR14bA3VmT1N/a/0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T01:45:41.942737Z"},"content_sha256":"98a0bbc135fae6b261e7fd27a84688097e4c189d9525b8baaf4a987a6625b604","schema_version":"1.0","event_id":"sha256:98a0bbc135fae6b261e7fd27a84688097e4c189d9525b8baaf4a987a6625b604"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ/bundle.json","state_url":"https://pith.science/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ/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":"2026-05-26T01:45:41Z","links":{"resolver":"https://pith.science/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ","bundle":"https://pith.science/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ/bundle.json","state":"https://pith.science/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VUE6462AFZ6ANUQWIJKXQ5UIHJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VUE6462AFZ6ANUQWIJKXQ5UIHJ","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":"ca92932fbdac020d7e045f1970eeb0330e154575f33144dc9ad4b394ab9e1d7b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-07-08T06:45:10Z","title_canon_sha256":"668da64023591562083353d269ac5324497ea0e2ae9b9899e5afa437b169be8a"},"schema_version":"1.0","source":{"id":"1907.03420","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.03420","created_at":"2026-05-17T23:41:16Z"},{"alias_kind":"arxiv_version","alias_value":"1907.03420v1","created_at":"2026-05-17T23:41:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.03420","created_at":"2026-05-17T23:41:16Z"},{"alias_kind":"pith_short_12","alias_value":"VUE6462AFZ6A","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VUE6462AFZ6ANUQW","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VUE6462A","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:98a0bbc135fae6b261e7fd27a84688097e4c189d9525b8baaf4a987a6625b604","target":"graph","created_at":"2026-05-17T23:41:16Z","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":"Streamlines, vortex lines and magnetic flux tubes in turbulent fluids and plasmas display a great amount of coiling, twisting and linking, raising the question as to whether their topological complexity (continually created and destroyed by reconnections) can be quantified. In superfluid helium, the discrete (quantized) nature of vorticity can be exploited to associate to each vortex loop a knot invariant called the Alexander polynomial whose degree characterizes the topology of that vortex loop. By numerically simulating the dynamics of a tangle of quantum vortex lines, we find that this quan","authors_text":"A. W. Baggaley, C. F. Barenghi, M. Mesgarnezhad, R. G. Cooper","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-07-08T06:45:10Z","title":"Knot spectrum of turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.03420","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":"sha256:31ad52ec7a0de58ee25889895eefa01abc12a8f7629e46e8d06c591ca86a8163","target":"record","created_at":"2026-05-17T23:41:16Z","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":"ca92932fbdac020d7e045f1970eeb0330e154575f33144dc9ad4b394ab9e1d7b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2019-07-08T06:45:10Z","title_canon_sha256":"668da64023591562083353d269ac5324497ea0e2ae9b9899e5afa437b169be8a"},"schema_version":"1.0","source":{"id":"1907.03420","kind":"arxiv","version":1}},"canonical_sha256":"ad09ee7b402e7c06d21642557876883a656b25c2aae7a7d51564893e427f2e44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad09ee7b402e7c06d21642557876883a656b25c2aae7a7d51564893e427f2e44","first_computed_at":"2026-05-17T23:41:16.277729Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:41:16.277729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uioQ+aH/FQOaZMP9ANu1o5jp1rkvTuEJqORQgb0blKVbV6dJkGlk44l39TrCR6FaDSTAqPe3ZEKPXElUoVeOAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:41:16.278244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.03420","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31ad52ec7a0de58ee25889895eefa01abc12a8f7629e46e8d06c591ca86a8163","sha256:98a0bbc135fae6b261e7fd27a84688097e4c189d9525b8baaf4a987a6625b604"],"state_sha256":"a2d2a09fe2dcffa70cd26dccc4f91e973e71cde3feba82ddeb380ffe75b95300"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUsp2oqdpoIwGf3Td3mhFYes/89KQeZSyFA62MB0/TqhWmAcrHIUgDx9NIBBnfgOnTL1S0Keu/45bovI5y1dCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T01:45:41.946581Z","bundle_sha256":"339e2aa2c3a042744f7f0153e55acda7f121762cbdbec22f11a90e62a80550f9"}}