{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:TCYRHGF3VIHINIC4GOXUM54KYU","short_pith_number":"pith:TCYRHGF3","schema_version":"1.0","canonical_sha256":"98b11398bbaa0e86a05c33af46778ac5148827226e65398dd247cdbaf507b5ab","source":{"kind":"arxiv","id":"1903.06081","version":4},"attestation_state":"computed","paper":{"title":"Modified log-Sobolev inequalities for strongly log-concave distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.CO"],"primary_cat":"math.PR","authors_text":"Giorgos Mousa, Heng Guo, Mary Cryan","submitted_at":"2019-03-14T15:37:33Z","abstract_excerpt":"We show that the modified log-Sobolev constant for a natural Markov chain which converges to an $r$-homogeneous strongly log-concave distribution is at least $1/r$. Applications include a sharp mixing time bound for the bases-exchange walk for matroids, and a concentration bound for Lipschitz functions over these distributions."},"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":"1903.06081","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-03-14T15:37:33Z","cross_cats_sorted":["cs.DS","math.CO"],"title_canon_sha256":"c777db3140579883e76de2ff26ea2e9f9dadebc74c86d897d7daa33b61ac1637","abstract_canon_sha256":"4c297233bed182c2eda0f47f7fdb25952b560f48a8ac78b9baa1cc667a130032"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:25:34.086378Z","signature_b64":"pJwIArI2n/OQNfmhC9D/2aZME1pfPVxnrN7HIxt4d6gZsCupDu/aW5anVbqFXahwOpENRyKlUgwjAUsZZxAwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98b11398bbaa0e86a05c33af46778ac5148827226e65398dd247cdbaf507b5ab","last_reissued_at":"2026-07-05T01:25:34.085961Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:25:34.085961Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Modified log-Sobolev inequalities for strongly log-concave distributions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","math.CO"],"primary_cat":"math.PR","authors_text":"Giorgos Mousa, Heng Guo, Mary Cryan","submitted_at":"2019-03-14T15:37:33Z","abstract_excerpt":"We show that the modified log-Sobolev constant for a natural Markov chain which converges to an $r$-homogeneous strongly log-concave distribution is at least $1/r$. Applications include a sharp mixing time bound for the bases-exchange walk for matroids, and a concentration bound for Lipschitz functions over these distributions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.06081","kind":"arxiv","version":4},"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/1903.06081/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":"1903.06081","created_at":"2026-07-05T01:25:34.086020+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.06081v4","created_at":"2026-07-05T01:25:34.086020+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.06081","created_at":"2026-07-05T01:25:34.086020+00:00"},{"alias_kind":"pith_short_12","alias_value":"TCYRHGF3VIHI","created_at":"2026-07-05T01:25:34.086020+00:00"},{"alias_kind":"pith_short_16","alias_value":"TCYRHGF3VIHINIC4","created_at":"2026-07-05T01:25:34.086020+00:00"},{"alias_kind":"pith_short_8","alias_value":"TCYRHGF3","created_at":"2026-07-05T01:25:34.086020+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2312.02089","citing_title":"Sequential Sweeps and High Dimensional Expansion","ref_index":6,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU","json":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU.json","graph_json":"https://pith.science/api/pith-number/TCYRHGF3VIHINIC4GOXUM54KYU/graph.json","events_json":"https://pith.science/api/pith-number/TCYRHGF3VIHINIC4GOXUM54KYU/events.json","paper":"https://pith.science/paper/TCYRHGF3"},"agent_actions":{"view_html":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU","download_json":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU.json","view_paper":"https://pith.science/paper/TCYRHGF3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.06081&json=true","fetch_graph":"https://pith.science/api/pith-number/TCYRHGF3VIHINIC4GOXUM54KYU/graph.json","fetch_events":"https://pith.science/api/pith-number/TCYRHGF3VIHINIC4GOXUM54KYU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU/action/storage_attestation","attest_author":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU/action/author_attestation","sign_citation":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU/action/citation_signature","submit_replication":"https://pith.science/pith/TCYRHGF3VIHINIC4GOXUM54KYU/action/replication_record"}},"created_at":"2026-07-05T01:25:34.086020+00:00","updated_at":"2026-07-05T01:25:34.086020+00:00"}