{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QHBN7F64XSTWFR3WPVFD4A4KFS","short_pith_number":"pith:QHBN7F64","canonical_record":{"source":{"id":"1804.08238","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T03:46:51Z","cross_cats_sorted":[],"title_canon_sha256":"10841420b108e1bd7024381af0f757eb0be224870fa699b1774aed48edb279ad","abstract_canon_sha256":"56fb2f8b6503dba8c68a08f94e5614c41d3d97e04579fe0c2b411fd667514cdf"},"schema_version":"1.0"},"canonical_sha256":"81c2df97dcbca762c7767d4a3e038a2caf469d0b788e28655a479a44b464c862","source":{"kind":"arxiv","id":"1804.08238","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08238","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08238v2","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08238","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"QHBN7F64XSTW","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QHBN7F64XSTWFR3W","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QHBN7F64","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QHBN7F64XSTWFR3WPVFD4A4KFS","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08238","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T03:46:51Z","cross_cats_sorted":[],"title_canon_sha256":"10841420b108e1bd7024381af0f757eb0be224870fa699b1774aed48edb279ad","abstract_canon_sha256":"56fb2f8b6503dba8c68a08f94e5614c41d3d97e04579fe0c2b411fd667514cdf"},"schema_version":"1.0"},"canonical_sha256":"81c2df97dcbca762c7767d4a3e038a2caf469d0b788e28655a479a44b464c862","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:56.340802Z","signature_b64":"K25Ew1f6a8o0vak4cmji+sERoEYFeB6/j9ERM1Fv3DKjUTFUGQYG9iO4nie7RuvX3K6hgVtLklc+RGwzYl6xCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81c2df97dcbca762c7767d4a3e038a2caf469d0b788e28655a479a44b464c862","last_reissued_at":"2026-05-18T00:00:56.340206Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:56.340206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08238","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":"2026-05-18T00:00:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o9QiC2IukWx+b3Jer+A9jHVvzFpIxnknUmlGFZnEOhCkD7C6wtos4IbPZHNfSqxbDBPa3cHH5OKpUAfcW2e1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:18:27.690751Z"},"content_sha256":"585b410213555569472bf764b464c3c1a29c240d9d8e132738444ab2aa041305","schema_version":"1.0","event_id":"sha256:585b410213555569472bf764b464c3c1a29c240d9d8e132738444ab2aa041305"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QHBN7F64XSTWFR3WPVFD4A4KFS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Aseel Farhat, Zoran Grujic","submitted_at":"2018-04-23T03:46:51Z","abstract_excerpt":"Computational simulations of turbulent flows indicate that the regions of low dissipation/enstrophy production feature high degree of local alignment between the velocity and the vorticty, i.e., the flow is locally near-Beltrami. Hence one could envision a geometric scenario in which the persistence of the local near-Beltramy property might be consistent with a (possible) finite-time singularity formation. The goal of this note is to show that this scenario is in fact prohibited if the sine of the angle between the velocity and the vorticty is small enough with respect to the local enstrophy."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08238","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":"2026-05-18T00:00:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PBmI6Hy+GzqmKJEVm9DAx6l3PmGVxfUo4tRltDTjWBV6Hc32Agx4Joc7+2CqYDkF4wjmSQGbmRLwXZo5KO0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:18:27.691141Z"},"content_sha256":"df2a689090d87f2f1e92a9e6df400e387f0ab7b302bb66ed3adc8e59a4e90460","schema_version":"1.0","event_id":"sha256:df2a689090d87f2f1e92a9e6df400e387f0ab7b302bb66ed3adc8e59a4e90460"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QHBN7F64XSTWFR3WPVFD4A4KFS/bundle.json","state_url":"https://pith.science/pith/QHBN7F64XSTWFR3WPVFD4A4KFS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QHBN7F64XSTWFR3WPVFD4A4KFS/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":"2026-06-04T06:18:27Z","links":{"resolver":"https://pith.science/pith/QHBN7F64XSTWFR3WPVFD4A4KFS","bundle":"https://pith.science/pith/QHBN7F64XSTWFR3WPVFD4A4KFS/bundle.json","state":"https://pith.science/pith/QHBN7F64XSTWFR3WPVFD4A4KFS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QHBN7F64XSTWFR3WPVFD4A4KFS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QHBN7F64XSTWFR3WPVFD4A4KFS","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":"56fb2f8b6503dba8c68a08f94e5614c41d3d97e04579fe0c2b411fd667514cdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T03:46:51Z","title_canon_sha256":"10841420b108e1bd7024381af0f757eb0be224870fa699b1774aed48edb279ad"},"schema_version":"1.0","source":{"id":"1804.08238","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08238","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08238v2","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08238","created_at":"2026-05-18T00:00:56Z"},{"alias_kind":"pith_short_12","alias_value":"QHBN7F64XSTW","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QHBN7F64XSTWFR3W","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QHBN7F64","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:df2a689090d87f2f1e92a9e6df400e387f0ab7b302bb66ed3adc8e59a4e90460","target":"graph","created_at":"2026-05-18T00:00:56Z","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":"Computational simulations of turbulent flows indicate that the regions of low dissipation/enstrophy production feature high degree of local alignment between the velocity and the vorticty, i.e., the flow is locally near-Beltrami. Hence one could envision a geometric scenario in which the persistence of the local near-Beltramy property might be consistent with a (possible) finite-time singularity formation. The goal of this note is to show that this scenario is in fact prohibited if the sine of the angle between the velocity and the vorticty is small enough with respect to the local enstrophy.","authors_text":"Aseel Farhat, Zoran Grujic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T03:46:51Z","title":"Local near-Beltrami structure and depletion of the nonlinearity in the 3D Navier-Stokes flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08238","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":"sha256:585b410213555569472bf764b464c3c1a29c240d9d8e132738444ab2aa041305","target":"record","created_at":"2026-05-18T00:00:56Z","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":"56fb2f8b6503dba8c68a08f94e5614c41d3d97e04579fe0c2b411fd667514cdf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-04-23T03:46:51Z","title_canon_sha256":"10841420b108e1bd7024381af0f757eb0be224870fa699b1774aed48edb279ad"},"schema_version":"1.0","source":{"id":"1804.08238","kind":"arxiv","version":2}},"canonical_sha256":"81c2df97dcbca762c7767d4a3e038a2caf469d0b788e28655a479a44b464c862","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81c2df97dcbca762c7767d4a3e038a2caf469d0b788e28655a479a44b464c862","first_computed_at":"2026-05-18T00:00:56.340206Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:56.340206Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K25Ew1f6a8o0vak4cmji+sERoEYFeB6/j9ERM1Fv3DKjUTFUGQYG9iO4nie7RuvX3K6hgVtLklc+RGwzYl6xCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:56.340802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08238","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:585b410213555569472bf764b464c3c1a29c240d9d8e132738444ab2aa041305","sha256:df2a689090d87f2f1e92a9e6df400e387f0ab7b302bb66ed3adc8e59a4e90460"],"state_sha256":"7295da4d4c497bc4b3ff85c9d499a02edef3d97dfebef0c272f5bb5e8b236df2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBZMSxn+j6etBWtHtN5Mop9FABdb3aqn9itr9buYR0WkRpjAGDzSthv0sXp2e4JhNrvbc6GjWy6sVTt7BFOsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:18:27.692944Z","bundle_sha256":"b3f1eb58754172dc7e0240bef7a946dfeba3cf8662f3c5cb3e666b6a920c1f67"}}