{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KUUA6J3M5VSB3SJK7I3HLDREA5","short_pith_number":"pith:KUUA6J3M","schema_version":"1.0","canonical_sha256":"55280f276ced641dc92afa36758e240757e3283075baf9ad8777a776d3dc9586","source":{"kind":"arxiv","id":"1801.00348","version":2},"attestation_state":"computed","paper":{"title":"Dynamical zeta functions for Axiom A flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Colin Guillarmou, Semyon Dyatlov","submitted_at":"2017-12-31T20:15:05Z","abstract_excerpt":"We show that the Ruelle zeta function of any smooth Axiom A flow with orientable stable/unstable spaces has a meromorphic continuation to the entire complex plane. The proof uses the meromorphic continuation result of [arXiv:1410.5516] together with the work of Conley-Easton and [arXiv:1711.10059] which imply that every basic hyperbolic set can be put into the framework of [arXiv:1410.5516]."},"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":"1801.00348","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2017-12-31T20:15:05Z","cross_cats_sorted":[],"title_canon_sha256":"a668e95266b3c0a073e5ea39ac13dd34346455081257ab1374c3a3e3a6b2b2ed","abstract_canon_sha256":"cd87bf309afb297093336c9aa7a53fcfaaf44cf0bcfde9d60992531558d35a2f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:43.608107Z","signature_b64":"CU7oqNKv66BMQ8a33g/m6KGmqDVoRvjmIVl3axmEAx+Rmv6yyWV5ZqAuEaMjoWyFuXnslE736QK8moi3c6izAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55280f276ced641dc92afa36758e240757e3283075baf9ad8777a776d3dc9586","last_reissued_at":"2026-05-18T00:12:43.607471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:43.607471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamical zeta functions for Axiom A flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Colin Guillarmou, Semyon Dyatlov","submitted_at":"2017-12-31T20:15:05Z","abstract_excerpt":"We show that the Ruelle zeta function of any smooth Axiom A flow with orientable stable/unstable spaces has a meromorphic continuation to the entire complex plane. The proof uses the meromorphic continuation result of [arXiv:1410.5516] together with the work of Conley-Easton and [arXiv:1711.10059] which imply that every basic hyperbolic set can be put into the framework of [arXiv:1410.5516]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00348","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":"1801.00348","created_at":"2026-05-18T00:12:43.607568+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.00348v2","created_at":"2026-05-18T00:12:43.607568+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00348","created_at":"2026-05-18T00:12:43.607568+00:00"},{"alias_kind":"pith_short_12","alias_value":"KUUA6J3M5VSB","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_16","alias_value":"KUUA6J3M5VSB3SJK","created_at":"2026-05-18T12:31:28.150371+00:00"},{"alias_kind":"pith_short_8","alias_value":"KUUA6J3M","created_at":"2026-05-18T12:31:28.150371+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/KUUA6J3M5VSB3SJK7I3HLDREA5","json":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5.json","graph_json":"https://pith.science/api/pith-number/KUUA6J3M5VSB3SJK7I3HLDREA5/graph.json","events_json":"https://pith.science/api/pith-number/KUUA6J3M5VSB3SJK7I3HLDREA5/events.json","paper":"https://pith.science/paper/KUUA6J3M"},"agent_actions":{"view_html":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5","download_json":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5.json","view_paper":"https://pith.science/paper/KUUA6J3M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.00348&json=true","fetch_graph":"https://pith.science/api/pith-number/KUUA6J3M5VSB3SJK7I3HLDREA5/graph.json","fetch_events":"https://pith.science/api/pith-number/KUUA6J3M5VSB3SJK7I3HLDREA5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5/action/storage_attestation","attest_author":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5/action/author_attestation","sign_citation":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5/action/citation_signature","submit_replication":"https://pith.science/pith/KUUA6J3M5VSB3SJK7I3HLDREA5/action/replication_record"}},"created_at":"2026-05-18T00:12:43.607568+00:00","updated_at":"2026-05-18T00:12:43.607568+00:00"}