{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1998:7KTOTYTNVAHODNQILDLGSXUU45","short_pith_number":"pith:7KTOTYTN","schema_version":"1.0","canonical_sha256":"faa6e9e26da80ee1b60858d6695e94e74deb2563814c36ab1e8965578f8946a7","source":{"kind":"arxiv","id":"math/9806132","version":1},"attestation_state":"computed","paper":{"title":"Decay of correlations for non H\\\"{o}lderian dynamics. A coupling approach","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Antonio Galves, Roberto Fern\\'andez, Xavier Bressaud","submitted_at":"1998-06-23T20:52:57Z","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."},"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":"math/9806132","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"1998-06-23T20:52:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"fed4b5d0b2e6568951e80629e5710ce63f1197c10892bcb82dfe2e206dfb90f6","abstract_canon_sha256":"b998d9c475ecae626700656e866b8e77a1e2fec92d8eb73fa76bd926b8908e55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:33.905643Z","signature_b64":"NF/PlUmvcguuORKsGHNqDbSUTnhurzEibE3VG3mOLW7/90Qv4TYf25hLxVGW3ofSC+emvWmmS3Dn6A3bFCVRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faa6e9e26da80ee1b60858d6695e94e74deb2563814c36ab1e8965578f8946a7","last_reissued_at":"2026-05-18T01:05:33.904985Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:33.904985Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Decay of correlations for non H\\\"{o}lderian dynamics. A coupling approach","license":"","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Antonio Galves, Roberto Fern\\'andez, Xavier Bressaud","submitted_at":"1998-06-23T20:52:57Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9806132","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":""},"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":"math/9806132","created_at":"2026-05-18T01:05:33.905089+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/9806132v1","created_at":"2026-05-18T01:05:33.905089+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9806132","created_at":"2026-05-18T01:05:33.905089+00:00"},{"alias_kind":"pith_short_12","alias_value":"7KTOTYTNVAHO","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_16","alias_value":"7KTOTYTNVAHODNQI","created_at":"2026-05-18T12:25:49.038998+00:00"},{"alias_kind":"pith_short_8","alias_value":"7KTOTYTN","created_at":"2026-05-18T12:25:49.038998+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45","json":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45.json","graph_json":"https://pith.science/api/pith-number/7KTOTYTNVAHODNQILDLGSXUU45/graph.json","events_json":"https://pith.science/api/pith-number/7KTOTYTNVAHODNQILDLGSXUU45/events.json","paper":"https://pith.science/paper/7KTOTYTN"},"agent_actions":{"view_html":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45","download_json":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45.json","view_paper":"https://pith.science/paper/7KTOTYTN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/9806132&json=true","fetch_graph":"https://pith.science/api/pith-number/7KTOTYTNVAHODNQILDLGSXUU45/graph.json","fetch_events":"https://pith.science/api/pith-number/7KTOTYTNVAHODNQILDLGSXUU45/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45/action/storage_attestation","attest_author":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45/action/author_attestation","sign_citation":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45/action/citation_signature","submit_replication":"https://pith.science/pith/7KTOTYTNVAHODNQILDLGSXUU45/action/replication_record"}},"created_at":"2026-05-18T01:05:33.905089+00:00","updated_at":"2026-05-18T01:05:33.905089+00:00"}