{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NFW525OIVDODLIJRFP3525LRPB","short_pith_number":"pith:NFW525OI","canonical_record":{"source":{"id":"1101.5999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-31T15:50:56Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"2bf4067052299c1486d4f5def6b799c508e7055051d5936d73416d0adb90218b","abstract_canon_sha256":"2625e375121a1f94f0e7b3cb4666712e48b5bcf61bcceba339913ebf9b5b7018"},"schema_version":"1.0"},"canonical_sha256":"696ddd75c8a8dc35a1312bf7dd7571784d905e0f3d2f9fe478a4155aab0f8e75","source":{"kind":"arxiv","id":"1101.5999","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5999","created_at":"2026-05-18T02:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5999v2","created_at":"2026-05-18T02:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5999","created_at":"2026-05-18T02:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"NFW525OIVDOD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NFW525OIVDODLIJR","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NFW525OI","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NFW525OIVDODLIJRFP3525LRPB","target":"record","payload":{"canonical_record":{"source":{"id":"1101.5999","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-31T15:50:56Z","cross_cats_sorted":["physics.flu-dyn"],"title_canon_sha256":"2bf4067052299c1486d4f5def6b799c508e7055051d5936d73416d0adb90218b","abstract_canon_sha256":"2625e375121a1f94f0e7b3cb4666712e48b5bcf61bcceba339913ebf9b5b7018"},"schema_version":"1.0"},"canonical_sha256":"696ddd75c8a8dc35a1312bf7dd7571784d905e0f3d2f9fe478a4155aab0f8e75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:41.721695Z","signature_b64":"ME1s6Vg5VVEktxefnY4h5Anll0mu+MG/5+VR5FQyfgga/J0KssLinnterOG8juzZNsjkNeLq9I1r/tI/OyyDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"696ddd75c8a8dc35a1312bf7dd7571784d905e0f3d2f9fe478a4155aab0f8e75","last_reissued_at":"2026-05-18T02:22:41.720977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:41.720977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.5999","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":"2026-05-18T02:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dkhnpx0GKdUrMoCP6NknK4LwvOP8LsnGlHfBwa+QYUW/UqVltvfAR9Qju3pPqBJBjwDBTe5wABVFahA+40cXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:06:52.500083Z"},"content_sha256":"b54aa741fbcfb1cbb0807fcc747fe7770a9b455c499283aaca9994f84e445c81","schema_version":"1.0","event_id":"sha256:b54aa741fbcfb1cbb0807fcc747fe7770a9b455c499283aaca9994f84e445c81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NFW525OIVDODLIJRFP3525LRPB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scalar decay in a three-dimensional chaotic flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.flu-dyn"],"primary_cat":"nlin.CD","authors_text":"Jacques Vanneste, Keith Ngan","submitted_at":"2011-01-31T15:50:56Z","abstract_excerpt":"The decay of a passive scalar in a three-dimensional chaotic flow is studied using high-resolution numerical simulations. The (volume-preserving) flow considered is a three-dimensional extension of the randomised alternating sine flow employed extensively in studies of mixing in two dimensions. It is used to show that theoretical predictions for two-dimensional flows with small diffusivity carry over to three dimensions even though the stretching properties differ significantly. The variance decay rate, scalar field structure, and time evolution of statistical moments confirm that there are tw"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5999","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":"2026-05-18T02:22:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxP1v9bB2MeF2NChm8R75O/vkvImKym8R4b57Mua1JZQ6TUapaG3BQzSim/4TclTzfbKuDqcMxiWzfCT9l6tDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T22:06:52.500446Z"},"content_sha256":"11deffd7d6d6b6d28674eea78ee6af1d2fb7d1cfed47b56c014646b9308bd993","schema_version":"1.0","event_id":"sha256:11deffd7d6d6b6d28674eea78ee6af1d2fb7d1cfed47b56c014646b9308bd993"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NFW525OIVDODLIJRFP3525LRPB/bundle.json","state_url":"https://pith.science/pith/NFW525OIVDODLIJRFP3525LRPB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NFW525OIVDODLIJRFP3525LRPB/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":"2026-06-21T22:06:52Z","links":{"resolver":"https://pith.science/pith/NFW525OIVDODLIJRFP3525LRPB","bundle":"https://pith.science/pith/NFW525OIVDODLIJRFP3525LRPB/bundle.json","state":"https://pith.science/pith/NFW525OIVDODLIJRFP3525LRPB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NFW525OIVDODLIJRFP3525LRPB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NFW525OIVDODLIJRFP3525LRPB","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":"2625e375121a1f94f0e7b3cb4666712e48b5bcf61bcceba339913ebf9b5b7018","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-31T15:50:56Z","title_canon_sha256":"2bf4067052299c1486d4f5def6b799c508e7055051d5936d73416d0adb90218b"},"schema_version":"1.0","source":{"id":"1101.5999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.5999","created_at":"2026-05-18T02:22:41Z"},{"alias_kind":"arxiv_version","alias_value":"1101.5999v2","created_at":"2026-05-18T02:22:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.5999","created_at":"2026-05-18T02:22:41Z"},{"alias_kind":"pith_short_12","alias_value":"NFW525OIVDOD","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NFW525OIVDODLIJR","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NFW525OI","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:11deffd7d6d6b6d28674eea78ee6af1d2fb7d1cfed47b56c014646b9308bd993","target":"graph","created_at":"2026-05-18T02:22:41Z","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 decay of a passive scalar in a three-dimensional chaotic flow is studied using high-resolution numerical simulations. The (volume-preserving) flow considered is a three-dimensional extension of the randomised alternating sine flow employed extensively in studies of mixing in two dimensions. It is used to show that theoretical predictions for two-dimensional flows with small diffusivity carry over to three dimensions even though the stretching properties differ significantly. The variance decay rate, scalar field structure, and time evolution of statistical moments confirm that there are tw","authors_text":"Jacques Vanneste, Keith Ngan","cross_cats":["physics.flu-dyn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-31T15:50:56Z","title":"Scalar decay in a three-dimensional chaotic flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.5999","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:b54aa741fbcfb1cbb0807fcc747fe7770a9b455c499283aaca9994f84e445c81","target":"record","created_at":"2026-05-18T02:22:41Z","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":"2625e375121a1f94f0e7b3cb4666712e48b5bcf61bcceba339913ebf9b5b7018","cross_cats_sorted":["physics.flu-dyn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2011-01-31T15:50:56Z","title_canon_sha256":"2bf4067052299c1486d4f5def6b799c508e7055051d5936d73416d0adb90218b"},"schema_version":"1.0","source":{"id":"1101.5999","kind":"arxiv","version":2}},"canonical_sha256":"696ddd75c8a8dc35a1312bf7dd7571784d905e0f3d2f9fe478a4155aab0f8e75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"696ddd75c8a8dc35a1312bf7dd7571784d905e0f3d2f9fe478a4155aab0f8e75","first_computed_at":"2026-05-18T02:22:41.720977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:41.720977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ME1s6Vg5VVEktxefnY4h5Anll0mu+MG/5+VR5FQyfgga/J0KssLinnterOG8juzZNsjkNeLq9I1r/tI/OyyDBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:41.721695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.5999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b54aa741fbcfb1cbb0807fcc747fe7770a9b455c499283aaca9994f84e445c81","sha256:11deffd7d6d6b6d28674eea78ee6af1d2fb7d1cfed47b56c014646b9308bd993"],"state_sha256":"160c165dca212747fa7829132e32cee092cbe8e229089f6bae727d40ea2c4945"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pvDhbfuVnq/osB3aHbSulLw2yvfKl9Akc00YyZxnQfs2Ye7bGOaKhFJQp3IMrnxqMxNUQaJJGI31rwyjMFa4AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T22:06:52.502425Z","bundle_sha256":"933521adf34ed8ac8b49d184d9bafada1d64ca5a7759e0ccb1a3fa11f71c9264"}}