{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:OIUW5ZJHM4EXTSDSBW4D743TR2","short_pith_number":"pith:OIUW5ZJH","schema_version":"1.0","canonical_sha256":"72296ee527670979c8720db83ff3738ebba6cf5774791446cc8d61e5c7dce443","source":{"kind":"arxiv","id":"1307.1297","version":3},"attestation_state":"computed","paper":{"title":"Equivalent characterizations of hyperbolic H\\\"older potential for interval maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Huaibin Li","submitted_at":"2013-07-04T12:18:59Z","abstract_excerpt":"Consider a topologically exact $C^3$ interval map without non-flat critical points. Following the works we did in \\cite{LiRiv12two}, we give two equivalent characterizations of hyperbolic H\\\"{o}lder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials."},"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":"1307.1297","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2013-07-04T12:18:59Z","cross_cats_sorted":[],"title_canon_sha256":"ee41123414248490d4388a04c917b341f29c24fd7da4b01ff21c97d293a09415","abstract_canon_sha256":"5f60fe8f88f996d483ba3d42b3a08853bd836e3290a97f14fa2e903f484efc01"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:42.961269Z","signature_b64":"jSoZiq5RS380m3P+h61VXL8yF4vrdagMY4jNadp3wvF+hpwZHmLK58r/z2BlAM6cwtCLTBWaGpusoxa7mVgMBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72296ee527670979c8720db83ff3738ebba6cf5774791446cc8d61e5c7dce443","last_reissued_at":"2026-05-18T03:15:42.960584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:42.960584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalent characterizations of hyperbolic H\\\"older potential for interval maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Huaibin Li","submitted_at":"2013-07-04T12:18:59Z","abstract_excerpt":"Consider a topologically exact $C^3$ interval map without non-flat critical points. Following the works we did in \\cite{LiRiv12two}, we give two equivalent characterizations of hyperbolic H\\\"{o}lder continuous potential in terms of the Lyapunov exponents and the measure-theoretic entropies of equilibrium states for those potentials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1297","kind":"arxiv","version":3},"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":"1307.1297","created_at":"2026-05-18T03:15:42.960691+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.1297v3","created_at":"2026-05-18T03:15:42.960691+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1297","created_at":"2026-05-18T03:15:42.960691+00:00"},{"alias_kind":"pith_short_12","alias_value":"OIUW5ZJHM4EX","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_16","alias_value":"OIUW5ZJHM4EXTSDS","created_at":"2026-05-18T12:27:54.935989+00:00"},{"alias_kind":"pith_short_8","alias_value":"OIUW5ZJH","created_at":"2026-05-18T12:27:54.935989+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/OIUW5ZJHM4EXTSDSBW4D743TR2","json":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2.json","graph_json":"https://pith.science/api/pith-number/OIUW5ZJHM4EXTSDSBW4D743TR2/graph.json","events_json":"https://pith.science/api/pith-number/OIUW5ZJHM4EXTSDSBW4D743TR2/events.json","paper":"https://pith.science/paper/OIUW5ZJH"},"agent_actions":{"view_html":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2","download_json":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2.json","view_paper":"https://pith.science/paper/OIUW5ZJH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.1297&json=true","fetch_graph":"https://pith.science/api/pith-number/OIUW5ZJHM4EXTSDSBW4D743TR2/graph.json","fetch_events":"https://pith.science/api/pith-number/OIUW5ZJHM4EXTSDSBW4D743TR2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2/action/storage_attestation","attest_author":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2/action/author_attestation","sign_citation":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2/action/citation_signature","submit_replication":"https://pith.science/pith/OIUW5ZJHM4EXTSDSBW4D743TR2/action/replication_record"}},"created_at":"2026-05-18T03:15:42.960691+00:00","updated_at":"2026-05-18T03:15:42.960691+00:00"}