{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:UXVY57LHP6IN3O6AE7KB3WOZSA","short_pith_number":"pith:UXVY57LH","schema_version":"1.0","canonical_sha256":"a5eb8efd677f90ddbbc027d41dd9d99030844802a4df461c3c66220da408fb70","source":{"kind":"arxiv","id":"1708.02272","version":2},"attestation_state":"computed","paper":{"title":"Positive entropy equilibrium states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Van Cyr, Vaughn Climenhaga","submitted_at":"2017-08-07T19:10:07Z","abstract_excerpt":"For transitive shifts of finite type, and more generally for shifts with specification, it is well-known that every equilibrium state for a Holder continuous potential has positive entropy as long as the shift has positive topological entropy. We give a non-uniform specification condition under which this property continues to hold, and demonstrate that it does not necessarily hold for other non-uniform versions of specification that have been introduced elsewhere."},"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":"1708.02272","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-08-07T19:10:07Z","cross_cats_sorted":[],"title_canon_sha256":"783b776ba0fe64943a3287caa4232b63f2e20fffdf802988c34a8afad7d5158f","abstract_canon_sha256":"38dbd220173a157fb4b0b3c51b7b3cac066d5da0afffaacfb3b972e07428939f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:03.348176Z","signature_b64":"egvJmuCibCc2qtIzyQJT/LYhQ+A+i9OlddNFmOb7AccXkMZu8TPI3r4yXUoswdhTSpFnCW07Yi9TXOZ0NtdkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5eb8efd677f90ddbbc027d41dd9d99030844802a4df461c3c66220da408fb70","last_reissued_at":"2026-05-18T00:02:03.347557Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:03.347557Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Positive entropy equilibrium states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Van Cyr, Vaughn Climenhaga","submitted_at":"2017-08-07T19:10:07Z","abstract_excerpt":"For transitive shifts of finite type, and more generally for shifts with specification, it is well-known that every equilibrium state for a Holder continuous potential has positive entropy as long as the shift has positive topological entropy. We give a non-uniform specification condition under which this property continues to hold, and demonstrate that it does not necessarily hold for other non-uniform versions of specification that have been introduced elsewhere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02272","kind":"arxiv","version":2},"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":"1708.02272","created_at":"2026-05-18T00:02:03.347648+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.02272v2","created_at":"2026-05-18T00:02:03.347648+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02272","created_at":"2026-05-18T00:02:03.347648+00:00"},{"alias_kind":"pith_short_12","alias_value":"UXVY57LHP6IN","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"UXVY57LHP6IN3O6A","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"UXVY57LH","created_at":"2026-05-18T12:31:49.984773+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/UXVY57LHP6IN3O6AE7KB3WOZSA","json":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA.json","graph_json":"https://pith.science/api/pith-number/UXVY57LHP6IN3O6AE7KB3WOZSA/graph.json","events_json":"https://pith.science/api/pith-number/UXVY57LHP6IN3O6AE7KB3WOZSA/events.json","paper":"https://pith.science/paper/UXVY57LH"},"agent_actions":{"view_html":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA","download_json":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA.json","view_paper":"https://pith.science/paper/UXVY57LH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.02272&json=true","fetch_graph":"https://pith.science/api/pith-number/UXVY57LHP6IN3O6AE7KB3WOZSA/graph.json","fetch_events":"https://pith.science/api/pith-number/UXVY57LHP6IN3O6AE7KB3WOZSA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA/action/storage_attestation","attest_author":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA/action/author_attestation","sign_citation":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA/action/citation_signature","submit_replication":"https://pith.science/pith/UXVY57LHP6IN3O6AE7KB3WOZSA/action/replication_record"}},"created_at":"2026-05-18T00:02:03.347648+00:00","updated_at":"2026-05-18T00:02:03.347648+00:00"}