{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:AJNWQ4TW53P4P3RGAH3BNULJMO","short_pith_number":"pith:AJNWQ4TW","schema_version":"1.0","canonical_sha256":"025b687276eedfc7ee2601f616d16963b352eb13ccdd82f2d0741c169acc6063","source":{"kind":"arxiv","id":"1911.09995","version":1},"attestation_state":"computed","paper":{"title":"A stochastic approach to enhanced diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Michele Coti Zelati, Theodore D. Drivas","submitted_at":"2019-11-22T12:23:10Z","abstract_excerpt":"We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are H\\\"{o}lder regular or Lipschitz continuous with critical points, and for regular circular flows, establishing the sharpness of those results. Our proof makes use of a probabilistic interpretation of the dissipation of solutions to the advection diffusion equation."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1911.09995","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-11-22T12:23:10Z","cross_cats_sorted":["math.PR","physics.flu-dyn"],"title_canon_sha256":"3eddd6450239b8afe01e9b7e34f67d3f0bd09bb23365eeee7d6b763a14434a9d","abstract_canon_sha256":"a066f56f9a0d253b7e849276d48acc82483a669a1bdffc31073436bf3c257c91"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:21:19.562810Z","signature_b64":"f5FpmBxRDa2mT9RfJCCb3QCcGfAQmqKfl55ALD2QervFv7XUrrzG67w8XUHTq9TLUb05xQlb4VK3oxx59Sc7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"025b687276eedfc7ee2601f616d16963b352eb13ccdd82f2d0741c169acc6063","last_reissued_at":"2026-07-05T00:21:19.562468Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:21:19.562468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A stochastic approach to enhanced diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.PR","physics.flu-dyn"],"primary_cat":"math.AP","authors_text":"Michele Coti Zelati, Theodore D. Drivas","submitted_at":"2019-11-22T12:23:10Z","abstract_excerpt":"We provide examples of initial data which saturate the enhanced diffusion rates proved for general shear flows which are H\\\"{o}lder regular or Lipschitz continuous with critical points, and for regular circular flows, establishing the sharpness of those results. Our proof makes use of a probabilistic interpretation of the dissipation of solutions to the advection diffusion equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.09995","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1911.09995/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1911.09995","created_at":"2026-07-05T00:21:19.562530+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.09995v1","created_at":"2026-07-05T00:21:19.562530+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.09995","created_at":"2026-07-05T00:21:19.562530+00:00"},{"alias_kind":"pith_short_12","alias_value":"AJNWQ4TW53P4","created_at":"2026-07-05T00:21:19.562530+00:00"},{"alias_kind":"pith_short_16","alias_value":"AJNWQ4TW53P4P3RG","created_at":"2026-07-05T00:21:19.562530+00:00"},{"alias_kind":"pith_short_8","alias_value":"AJNWQ4TW","created_at":"2026-07-05T00:21:19.562530+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2608.07329","citing_title":"Sampling and Optimization meet Enhanced Flows","ref_index":18,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO","json":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO.json","graph_json":"https://pith.science/api/pith-number/AJNWQ4TW53P4P3RGAH3BNULJMO/graph.json","events_json":"https://pith.science/api/pith-number/AJNWQ4TW53P4P3RGAH3BNULJMO/events.json","paper":"https://pith.science/paper/AJNWQ4TW"},"agent_actions":{"view_html":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO","download_json":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO.json","view_paper":"https://pith.science/paper/AJNWQ4TW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.09995&json=true","fetch_graph":"https://pith.science/api/pith-number/AJNWQ4TW53P4P3RGAH3BNULJMO/graph.json","fetch_events":"https://pith.science/api/pith-number/AJNWQ4TW53P4P3RGAH3BNULJMO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO/action/storage_attestation","attest_author":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO/action/author_attestation","sign_citation":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO/action/citation_signature","submit_replication":"https://pith.science/pith/AJNWQ4TW53P4P3RGAH3BNULJMO/action/replication_record"}},"created_at":"2026-07-05T00:21:19.562530+00:00","updated_at":"2026-07-05T00:21:19.562530+00:00"}