{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:CTXZRG3FZU4JFTWIEFQKPLU4R2","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":"ed8b020b405aba8ce9346d2dde6883291eb69a04dad332f2352341150fffacf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-16T12:16:40Z","title_canon_sha256":"314d1e3b459d0e228a29489e7facae8cd9082fc20c79ed63b8dbaad44921ac86"},"schema_version":"1.0","source":{"id":"1404.4220","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4220","created_at":"2026-05-18T01:33:24Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4220v5","created_at":"2026-05-18T01:33:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4220","created_at":"2026-05-18T01:33:24Z"},{"alias_kind":"pith_short_12","alias_value":"CTXZRG3FZU4J","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"CTXZRG3FZU4JFTWI","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"CTXZRG3F","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:7ce05a90e24c125eda15a3bb8ee008e4954476b467c9d07920223f836b870c30","target":"graph","created_at":"2026-05-18T01:33:24Z","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":"Explicit rate of convergence in variance (or more general entropies) is obtained for a class of Piecewise Deterministic Markov Processes such as the TCP process, relying on functional inequalities. A method to establish Poincar\\'e (and more generaly Beckner) inequalities with respect to a diffusion-type energy for the invariant law of such hybrid processes is developped.","authors_text":"Pierre Monmarch\\'e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-16T12:16:40Z","title":"On $\\mathcal H^1$ and entropic convergence for contractive PDMP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4220","kind":"arxiv","version":5},"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":"sha256:42de4595239f32f85e3b1dddd5d65df37ba456feddd7fa089b15f1d3dab1740e","target":"record","created_at":"2026-05-18T01:33:24Z","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":"ed8b020b405aba8ce9346d2dde6883291eb69a04dad332f2352341150fffacf0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-04-16T12:16:40Z","title_canon_sha256":"314d1e3b459d0e228a29489e7facae8cd9082fc20c79ed63b8dbaad44921ac86"},"schema_version":"1.0","source":{"id":"1404.4220","kind":"arxiv","version":5}},"canonical_sha256":"14ef989b65cd3892cec82160a7ae9c8e838e554781ffb62e854472987b36da8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"14ef989b65cd3892cec82160a7ae9c8e838e554781ffb62e854472987b36da8b","first_computed_at":"2026-05-18T01:33:24.476016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:24.476016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J2wdsXfxT/IRFou+7/icYoryX+RQFA3W0OM9AYEH7yUaXp0X6YAavAZg+WDUoVQ5oE0V6YAN8xgtr6oI73x+Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:24.476540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4220","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42de4595239f32f85e3b1dddd5d65df37ba456feddd7fa089b15f1d3dab1740e","sha256:7ce05a90e24c125eda15a3bb8ee008e4954476b467c9d07920223f836b870c30"],"state_sha256":"69e92bfe862cb9819e70f5bcf186f1c0b487bdd0d924782b1a0bd3ed42e66869"}