{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NFCRUVTVODH66ZAEVYRYEFX4JS","short_pith_number":"pith:NFCRUVTV","canonical_record":{"source":{"id":"1703.01676","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-03-05T22:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"a3eceabdd9432ff2aaa074f852676a52f33fed38389ad7752bbe6cfa3df24ba9","abstract_canon_sha256":"13d736d1f2526afae4abd0ba374a02e08a9a9033b42bff6a881158eea8b82cc1"},"schema_version":"1.0"},"canonical_sha256":"69451a567570cfef6404ae238216fc4c8450c85fbcddd5a42b5c7316fabd892d","source":{"kind":"arxiv","id":"1703.01676","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01676","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01676v3","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01676","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"pith_short_12","alias_value":"NFCRUVTVODH6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NFCRUVTVODH66ZAE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NFCRUVTV","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NFCRUVTVODH66ZAEVYRYEFX4JS","target":"record","payload":{"canonical_record":{"source":{"id":"1703.01676","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-03-05T22:20:07Z","cross_cats_sorted":[],"title_canon_sha256":"a3eceabdd9432ff2aaa074f852676a52f33fed38389ad7752bbe6cfa3df24ba9","abstract_canon_sha256":"13d736d1f2526afae4abd0ba374a02e08a9a9033b42bff6a881158eea8b82cc1"},"schema_version":"1.0"},"canonical_sha256":"69451a567570cfef6404ae238216fc4c8450c85fbcddd5a42b5c7316fabd892d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:39.311208Z","signature_b64":"r/OE9oYaPR+dXG/YI4npIBAuaiKwLCT/QlJlMzmjp0u3HOmt1KSK9wT0EodqMTDcaZi2fQJq4kZm9K03tLqDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69451a567570cfef6404ae238216fc4c8450c85fbcddd5a42b5c7316fabd892d","last_reissued_at":"2026-05-18T00:43:39.310700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:39.310700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.01676","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":"2026-05-18T00:43:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L9PmfCwJeUGGwa9ok8y8IdHNWQANa341ypBI1X2AZzOuszZmeKSNgjXDm5+o3vMBM2sWz7yq4ACaOe3RLWLTBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T05:34:43.963354Z"},"content_sha256":"5f2a3941b896777705974783bdf947df1b9008c73616b80b65c30910623fc3ba","schema_version":"1.0","event_id":"sha256:5f2a3941b896777705974783bdf947df1b9008c73616b80b65c30910623fc3ba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NFCRUVTVODH66ZAEVYRYEFX4JS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Trefoil knot structure during reconnection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Robert M. Kerr","submitted_at":"2017-03-05T22:20:07Z","abstract_excerpt":"Three-dimensional images of evolving numerical trefoil vortex knots are used to study the growth and decay of the enstrophy and helicity. Negative helicity density ($h<0$) plays several roles. First, sheets of oppositely-signed helicity dissipation of equal magnitude on either side of the maximum of the enstrophy dissipation allow the global helicity ${\\cal H}$ to be preserved through the first reconnection, as suggested theoretically (Laing et al 2015) and observed experimentally (Scheeler et al. 2014). Next, to maintain the growth of the enstrophy and positive helicity within the trefoil whi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01676","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":"2026-05-18T00:43:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wQysX5Uf0kmFdgcaEEqcD7h97KdNi5UVa4WnmkUxc/VU6HS362pE0i7aZG4v4JtFkzvsN5tge2TDiSqe1u1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T05:34:43.964029Z"},"content_sha256":"14897dab9670d642731ccc6e7100e9e302c3931033b8971263f0c309a90c2835","schema_version":"1.0","event_id":"sha256:14897dab9670d642731ccc6e7100e9e302c3931033b8971263f0c309a90c2835"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFCRUVTVODH66ZAEVYRYEFX4JS/bundle.json","state_url":"https://pith.science/pith/NFCRUVTVODH66ZAEVYRYEFX4JS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFCRUVTVODH66ZAEVYRYEFX4JS/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":"2026-05-20T05:34:43Z","links":{"resolver":"https://pith.science/pith/NFCRUVTVODH66ZAEVYRYEFX4JS","bundle":"https://pith.science/pith/NFCRUVTVODH66ZAEVYRYEFX4JS/bundle.json","state":"https://pith.science/pith/NFCRUVTVODH66ZAEVYRYEFX4JS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFCRUVTVODH66ZAEVYRYEFX4JS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NFCRUVTVODH66ZAEVYRYEFX4JS","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":"13d736d1f2526afae4abd0ba374a02e08a9a9033b42bff6a881158eea8b82cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-03-05T22:20:07Z","title_canon_sha256":"a3eceabdd9432ff2aaa074f852676a52f33fed38389ad7752bbe6cfa3df24ba9"},"schema_version":"1.0","source":{"id":"1703.01676","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01676","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01676v3","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01676","created_at":"2026-05-18T00:43:39Z"},{"alias_kind":"pith_short_12","alias_value":"NFCRUVTVODH6","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NFCRUVTVODH66ZAE","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NFCRUVTV","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:14897dab9670d642731ccc6e7100e9e302c3931033b8971263f0c309a90c2835","target":"graph","created_at":"2026-05-18T00:43:39Z","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":"Three-dimensional images of evolving numerical trefoil vortex knots are used to study the growth and decay of the enstrophy and helicity. Negative helicity density ($h<0$) plays several roles. First, sheets of oppositely-signed helicity dissipation of equal magnitude on either side of the maximum of the enstrophy dissipation allow the global helicity ${\\cal H}$ to be preserved through the first reconnection, as suggested theoretically (Laing et al 2015) and observed experimentally (Scheeler et al. 2014). Next, to maintain the growth of the enstrophy and positive helicity within the trefoil whi","authors_text":"Robert M. Kerr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-03-05T22:20:07Z","title":"Trefoil knot structure during reconnection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01676","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":"sha256:5f2a3941b896777705974783bdf947df1b9008c73616b80b65c30910623fc3ba","target":"record","created_at":"2026-05-18T00:43:39Z","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":"13d736d1f2526afae4abd0ba374a02e08a9a9033b42bff6a881158eea8b82cc1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-03-05T22:20:07Z","title_canon_sha256":"a3eceabdd9432ff2aaa074f852676a52f33fed38389ad7752bbe6cfa3df24ba9"},"schema_version":"1.0","source":{"id":"1703.01676","kind":"arxiv","version":3}},"canonical_sha256":"69451a567570cfef6404ae238216fc4c8450c85fbcddd5a42b5c7316fabd892d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69451a567570cfef6404ae238216fc4c8450c85fbcddd5a42b5c7316fabd892d","first_computed_at":"2026-05-18T00:43:39.310700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:39.310700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r/OE9oYaPR+dXG/YI4npIBAuaiKwLCT/QlJlMzmjp0u3HOmt1KSK9wT0EodqMTDcaZi2fQJq4kZm9K03tLqDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:39.311208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01676","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f2a3941b896777705974783bdf947df1b9008c73616b80b65c30910623fc3ba","sha256:14897dab9670d642731ccc6e7100e9e302c3931033b8971263f0c309a90c2835"],"state_sha256":"6d052115539f88947954c0bf59b3f9c6d64ffa56441c79e7d94973cd632fde11"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p2cePO2LPOZFmC+h/vIb/sBBF4gd3RcCDjc+wcFKDdCpjXIj2q/Ohoam13ICkT/FAoDsc8bu3rIZOiwaFUoGBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T05:34:43.967874Z","bundle_sha256":"b9eaea5314f9caedcce374c09874f816cabeb35759422abff62236d5e3b311b4"}}