{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:ZLGBWEOLXDMIRZAOZQ4KMWKKRY","short_pith_number":"pith:ZLGBWEOL","canonical_record":{"source":{"id":"2309.15738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T15:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"4ad3ae842353b98b3d1170b0d48dc1b831bccdf465b236d79b704acfa42a6058","abstract_canon_sha256":"91673310d1361f182bb54133d6319cecc739b13e1b490041177b91baba0afef6"},"schema_version":"1.0"},"canonical_sha256":"cacc1b11cbb8d888e40ecc38a6594a8e06acc01b85c2f68bf7ad4109d95763cd","source":{"kind":"arxiv","id":"2309.15738","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15738","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15738v2","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15738","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZLGBWEOLXDMI","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZLGBWEOLXDMIRZAO","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZLGBWEOL","created_at":"2026-07-05T06:55:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:ZLGBWEOLXDMIRZAOZQ4KMWKKRY","target":"record","payload":{"canonical_record":{"source":{"id":"2309.15738","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T15:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"4ad3ae842353b98b3d1170b0d48dc1b831bccdf465b236d79b704acfa42a6058","abstract_canon_sha256":"91673310d1361f182bb54133d6319cecc739b13e1b490041177b91baba0afef6"},"schema_version":"1.0"},"canonical_sha256":"cacc1b11cbb8d888e40ecc38a6594a8e06acc01b85c2f68bf7ad4109d95763cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:55:07.256979Z","signature_b64":"noxGKY34VEl+M2WYT4Rm9JvRrzbreFreRFaGYol8XnRDsAxPBnUqRebmesZLPdRT1fD+cf6YKPArZlf6j3xlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cacc1b11cbb8d888e40ecc38a6594a8e06acc01b85c2f68bf7ad4109d95763cd","last_reissued_at":"2026-07-05T06:55:07.256491Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:55:07.256491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2309.15738","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":"2026-07-05T06:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Efom5M9BlECFVjR03HDWldp/f3Hlq6VAr5vgGGr3NVoB6os9imhRlr4esWqyQLLkcCKOaMEaaqhkvT2i2fPEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T21:55:57.461707Z"},"content_sha256":"5957250390cbd9f0274ba1034eb0073921eb4014adf33f819ff51bfbbd3f04e5","schema_version":"1.0","event_id":"sha256:5957250390cbd9f0274ba1034eb0073921eb4014adf33f819ff51bfbbd3f04e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:ZLGBWEOLXDMIRZAOZQ4KMWKKRY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on Enhanced Dissipation and Taylor Dispersion of Time-dependent Shear Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Daniel Coble, Siming He","submitted_at":"2023-09-27T15:48:56Z","abstract_excerpt":"This paper explores the phenomena of enhanced dissipation and Taylor dispersion in solutions to the passive scalar equations subject to time-dependent shear flows. The hypocoercivity functionals with carefully tuned time weights are applied in the analysis. We observe that as long as the critical points of the shear flow vary slowly, one can derive the sharp enhanced dissipation and Taylor dispersion estimates, mirroring the ones obtained for the time-stationary case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15738","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2309.15738/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/At3RT0XNFfzPfISONJHfYLXooDj9DRo6jQKCr7oC+ADIzYFPsKqoMjwPqAMUnxWKLv0ur/FLle3ccerRYmbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T21:55:57.462139Z"},"content_sha256":"d1a003492b2f051efa9df69653f969d4e0d633fb366f20da995a077bafe97c9a","schema_version":"1.0","event_id":"sha256:d1a003492b2f051efa9df69653f969d4e0d633fb366f20da995a077bafe97c9a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY/bundle.json","state_url":"https://pith.science/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY/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":"2026-08-21T21:55:57Z","links":{"resolver":"https://pith.science/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY","bundle":"https://pith.science/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY/bundle.json","state":"https://pith.science/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLGBWEOLXDMIRZAOZQ4KMWKKRY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ZLGBWEOLXDMIRZAOZQ4KMWKKRY","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":"91673310d1361f182bb54133d6319cecc739b13e1b490041177b91baba0afef6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T15:48:56Z","title_canon_sha256":"4ad3ae842353b98b3d1170b0d48dc1b831bccdf465b236d79b704acfa42a6058"},"schema_version":"1.0","source":{"id":"2309.15738","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2309.15738","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"2309.15738v2","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2309.15738","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZLGBWEOLXDMI","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZLGBWEOLXDMIRZAO","created_at":"2026-07-05T06:55:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZLGBWEOL","created_at":"2026-07-05T06:55:07Z"}],"graph_snapshots":[{"event_id":"sha256:d1a003492b2f051efa9df69653f969d4e0d633fb366f20da995a077bafe97c9a","target":"graph","created_at":"2026-07-05T06:55:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2309.15738/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper explores the phenomena of enhanced dissipation and Taylor dispersion in solutions to the passive scalar equations subject to time-dependent shear flows. The hypocoercivity functionals with carefully tuned time weights are applied in the analysis. We observe that as long as the critical points of the shear flow vary slowly, one can derive the sharp enhanced dissipation and Taylor dispersion estimates, mirroring the ones obtained for the time-stationary case.","authors_text":"Daniel Coble, Siming He","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T15:48:56Z","title":"A Note on Enhanced Dissipation and Taylor Dispersion of Time-dependent Shear Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2309.15738","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":"sha256:5957250390cbd9f0274ba1034eb0073921eb4014adf33f819ff51bfbbd3f04e5","target":"record","created_at":"2026-07-05T06:55:07Z","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":"91673310d1361f182bb54133d6319cecc739b13e1b490041177b91baba0afef6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2023-09-27T15:48:56Z","title_canon_sha256":"4ad3ae842353b98b3d1170b0d48dc1b831bccdf465b236d79b704acfa42a6058"},"schema_version":"1.0","source":{"id":"2309.15738","kind":"arxiv","version":2}},"canonical_sha256":"cacc1b11cbb8d888e40ecc38a6594a8e06acc01b85c2f68bf7ad4109d95763cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cacc1b11cbb8d888e40ecc38a6594a8e06acc01b85c2f68bf7ad4109d95763cd","first_computed_at":"2026-07-05T06:55:07.256491Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:55:07.256491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"noxGKY34VEl+M2WYT4Rm9JvRrzbreFreRFaGYol8XnRDsAxPBnUqRebmesZLPdRT1fD+cf6YKPArZlf6j3xlAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:55:07.256979Z","signed_message":"canonical_sha256_bytes"},"source_id":"2309.15738","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5957250390cbd9f0274ba1034eb0073921eb4014adf33f819ff51bfbbd3f04e5","sha256:d1a003492b2f051efa9df69653f969d4e0d633fb366f20da995a077bafe97c9a"],"state_sha256":"b42bb08027806e0c8312122e3068514a3b654073571b1f3917db2d698a416430"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OT6mr/4+60pGC+bmtVaJYvfX5BGJ030VO87siWW4MZo+KYF9Zcp2PyISr9PeCEioBmckY+rafx9rZK6LEB0gAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T21:55:57.465683Z","bundle_sha256":"4f634e198826d441eb65533a73ab099e544c18d44b635e7805287dfa04775537"}}