{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:7KTOTYTNVAHODNQILDLGSXUU45","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":"b998d9c475ecae626700656e866b8e77a1e2fec92d8eb73fa76bd926b8908e55","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.PR","submitted_at":"1998-06-23T20:52:57Z","title_canon_sha256":"fed4b5d0b2e6568951e80629e5710ce63f1197c10892bcb82dfe2e206dfb90f6"},"schema_version":"1.0","source":{"id":"math/9806132","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9806132","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"arxiv_version","alias_value":"math/9806132v1","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9806132","created_at":"2026-05-18T01:05:33Z"},{"alias_kind":"pith_short_12","alias_value":"7KTOTYTNVAHO","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"7KTOTYTNVAHODNQI","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"7KTOTYTN","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:5b7444c45c8e6ce784bd077f6bcd092e4e74611954ce5cec5ebec4ff00583a13","target":"graph","created_at":"2026-05-18T01:05:33Z","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":"We present an upper bound on the mixing rate of the equilibrium state of a dynamical systems defined by the one-sided shift and a non H\\\"{o}lder potential of summable variations. The bound follows from an estimation of the relaxation speed of chains with complete connections with summable decay, which is obtained via a explicit coupling between pairs of chains with different histories.","authors_text":"Antonio Galves, Roberto Fern\\'andez, Xavier Bressaud","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"1998-06-23T20:52:57Z","title":"Decay of correlations for non H\\\"{o}lderian dynamics. A coupling approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9806132","kind":"arxiv","version":1},"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":"sha256:5b8f90c2a2b40b71dd0b7a40856cf84ba983be0da9614aa99fc823619a0eaa19","target":"record","created_at":"2026-05-18T01:05:33Z","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":"b998d9c475ecae626700656e866b8e77a1e2fec92d8eb73fa76bd926b8908e55","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.PR","submitted_at":"1998-06-23T20:52:57Z","title_canon_sha256":"fed4b5d0b2e6568951e80629e5710ce63f1197c10892bcb82dfe2e206dfb90f6"},"schema_version":"1.0","source":{"id":"math/9806132","kind":"arxiv","version":1}},"canonical_sha256":"faa6e9e26da80ee1b60858d6695e94e74deb2563814c36ab1e8965578f8946a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"faa6e9e26da80ee1b60858d6695e94e74deb2563814c36ab1e8965578f8946a7","first_computed_at":"2026-05-18T01:05:33.904985Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:33.904985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NF/PlUmvcguuORKsGHNqDbSUTnhurzEibE3VG3mOLW7/90Qv4TYf25hLxVGW3ofSC+emvWmmS3Dn6A3bFCVRCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:33.905643Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9806132","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b8f90c2a2b40b71dd0b7a40856cf84ba983be0da9614aa99fc823619a0eaa19","sha256:5b7444c45c8e6ce784bd077f6bcd092e4e74611954ce5cec5ebec4ff00583a13"],"state_sha256":"2085a2e83a052399537148c50648bb7c9b248c6862970326deebaa1fc337c461"}