{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:U5K2YQVW6Y5AUSVDCUM3HVZVH5","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":"3e4aacf927ef1cb9dc70a05a921edabfd6956a950dc341911b6c582d0c038aca","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2023-02-28T18:38:44Z","title_canon_sha256":"30e805ec05c416dd885621d07655a574dcd3056bd382204c32051fcf4caf56f4"},"schema_version":"1.0","source":{"id":"2302.14839","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.14839","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"arxiv_version","alias_value":"2302.14839v2","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.14839","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_12","alias_value":"U5K2YQVW6Y5A","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_16","alias_value":"U5K2YQVW6Y5AUSVD","created_at":"2026-06-19T16:11:07Z"},{"alias_kind":"pith_short_8","alias_value":"U5K2YQVW","created_at":"2026-06-19T16:11:07Z"}],"graph_snapshots":[{"event_id":"sha256:254bc540a0703e85c11626d0432849d71f63e40f58112650f2e3aeb0ee1042b6","target":"graph","created_at":"2026-06-19T16:11:07Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2302.14839/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the behavior of the pressure function for H\\\"{o}lder continuous potentials on mixing subshifts of finite type. The classical theory of thermodynamic formalism shows that such pressure functions are convex, analytic and have slant asymptotes. We provide a sharp exponential lower bound on how fast the pressure function approaches its asymptotes. As a counterpart, we also show that there is no corresponding upper bound by exhibiting systems for which the convergence is arbitrarily slow. However, we prove that the exponential upper bound still holds for a generic H\\\"{o}lder potential. In ","authors_text":"Anthony Quas, Tamara Kucherenko","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2023-02-28T18:38:44Z","title":"Asymptotic behavior of the pressure function for H\\\"older potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.14839","kind":"arxiv","version":2},"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:d51173617002d3ace1fcbb76ff3ffb4df80440f56cf4ffdbfdcc68645b2043d4","target":"record","created_at":"2026-06-19T16:11:07Z","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":"3e4aacf927ef1cb9dc70a05a921edabfd6956a950dc341911b6c582d0c038aca","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.DS","submitted_at":"2023-02-28T18:38:44Z","title_canon_sha256":"30e805ec05c416dd885621d07655a574dcd3056bd382204c32051fcf4caf56f4"},"schema_version":"1.0","source":{"id":"2302.14839","kind":"arxiv","version":2}},"canonical_sha256":"a755ac42b6f63a0a4aa31519b3d7353f6106f4c6ad9c164abaebeef218618a54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a755ac42b6f63a0a4aa31519b3d7353f6106f4c6ad9c164abaebeef218618a54","first_computed_at":"2026-06-19T16:11:07.540527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:11:07.540527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JhkwuYnhVUvPikA6nJb2h2Nb4HWm4j8yd6wC20fxAc/fYt26ZoOgtD39f7MKEx4NxWJFzD+0ygKFsem+5D+NDg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:11:07.540977Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.14839","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d51173617002d3ace1fcbb76ff3ffb4df80440f56cf4ffdbfdcc68645b2043d4","sha256:254bc540a0703e85c11626d0432849d71f63e40f58112650f2e3aeb0ee1042b6"],"state_sha256":"3eca820fcda32d0be353da60c842d5fac8f916825755bb5b9064ee06931ab8a3"}