{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WW27JVU7WKTP6OKZSXH3KJPWWB","short_pith_number":"pith:WW27JVU7","schema_version":"1.0","canonical_sha256":"b5b5f4d69fb2a6ff395995cfb525f6b04a2806fc6645e87699fde03aa00f3e01","source":{"kind":"arxiv","id":"1612.05831","version":2},"attestation_state":"computed","paper":{"title":"A Large Deviation Principle for Gibbs States on Markov Shifts at Zero Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Edgardo P\\'erez, Jairo K. Mengue, Rodrigo Bissacot","submitted_at":"2016-12-17T22:19:32Z","abstract_excerpt":"Let $\\Sigma_{A}(\\mathbb{N})$ be a topologically mixing countable Markov shift with the BIP property over the alphabet $\\mathbb{N}$ and $f: \\Sigma_{A}(\\mathbb{N}) \\rightarrow \\mathbb{R}$ a potential satisfying the Walters condition with finite Gurevich pressure. Under suitable hypotheses, we prove the existence of a Large Deviation Principle for the family $(\\mu_{\\beta})_{\\beta > 0}$ where each $\\mu_{\\beta}$ is the Gibbs measure associated to the potential $\\beta f$. Our main theorem generalizes from finite to countable alphabets and also to a larger class of potentials a previous result of A. "},"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":"1612.05831","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-12-17T22:19:32Z","cross_cats_sorted":[],"title_canon_sha256":"5c46ac3121881fec479c3c66b24b459dacd754a47c7764d32cd6b7761d055f34","abstract_canon_sha256":"1b41c5736f91810c6e7a7eb7f8323dab2986f6cc5e95f9e631385c011b57bc7b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:10.299085Z","signature_b64":"qKb1yb1p0hi/8/V2hDtooq5EgerbNRxdKcuFLefdtVZif5CvF2Or7YzpJn1pZRlUomdlefMY8KhqIwaRh/mLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5b5f4d69fb2a6ff395995cfb525f6b04a2806fc6645e87699fde03aa00f3e01","last_reissued_at":"2026-05-18T00:54:10.298730Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:10.298730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Large Deviation Principle for Gibbs States on Markov Shifts at Zero Temperature","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Edgardo P\\'erez, Jairo K. Mengue, Rodrigo Bissacot","submitted_at":"2016-12-17T22:19:32Z","abstract_excerpt":"Let $\\Sigma_{A}(\\mathbb{N})$ be a topologically mixing countable Markov shift with the BIP property over the alphabet $\\mathbb{N}$ and $f: \\Sigma_{A}(\\mathbb{N}) \\rightarrow \\mathbb{R}$ a potential satisfying the Walters condition with finite Gurevich pressure. Under suitable hypotheses, we prove the existence of a Large Deviation Principle for the family $(\\mu_{\\beta})_{\\beta > 0}$ where each $\\mu_{\\beta}$ is the Gibbs measure associated to the potential $\\beta f$. Our main theorem generalizes from finite to countable alphabets and also to a larger class of potentials a previous result of A. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05831","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":"1612.05831","created_at":"2026-05-18T00:54:10.298786+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.05831v2","created_at":"2026-05-18T00:54:10.298786+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05831","created_at":"2026-05-18T00:54:10.298786+00:00"},{"alias_kind":"pith_short_12","alias_value":"WW27JVU7WKTP","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"WW27JVU7WKTP6OKZ","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"WW27JVU7","created_at":"2026-05-18T12:30:51.357362+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/WW27JVU7WKTP6OKZSXH3KJPWWB","json":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB.json","graph_json":"https://pith.science/api/pith-number/WW27JVU7WKTP6OKZSXH3KJPWWB/graph.json","events_json":"https://pith.science/api/pith-number/WW27JVU7WKTP6OKZSXH3KJPWWB/events.json","paper":"https://pith.science/paper/WW27JVU7"},"agent_actions":{"view_html":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB","download_json":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB.json","view_paper":"https://pith.science/paper/WW27JVU7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.05831&json=true","fetch_graph":"https://pith.science/api/pith-number/WW27JVU7WKTP6OKZSXH3KJPWWB/graph.json","fetch_events":"https://pith.science/api/pith-number/WW27JVU7WKTP6OKZSXH3KJPWWB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB/action/storage_attestation","attest_author":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB/action/author_attestation","sign_citation":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB/action/citation_signature","submit_replication":"https://pith.science/pith/WW27JVU7WKTP6OKZSXH3KJPWWB/action/replication_record"}},"created_at":"2026-05-18T00:54:10.298786+00:00","updated_at":"2026-05-18T00:54:10.298786+00:00"}