{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6HSNN4BIPHF6FHIJCA7QQOJFIU","short_pith_number":"pith:6HSNN4BI","schema_version":"1.0","canonical_sha256":"f1e4d6f02879cbe29d09103f0839254520512a7145d60b95742c2fea9bf1dc62","source":{"kind":"arxiv","id":"1010.1229","version":2},"attestation_state":"computed","paper":{"title":"A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Gianluigi Del Magno, Roberto Markarian","submitted_at":"2010-10-06T18:49:37Z","abstract_excerpt":"In this paper, we prove a criterion for the local ergodicity of non-uniformly hyperbolic symplectic maps with singularities. Our result is an extension of a theorem of Liverani and Wojtkowski."},"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":"1010.1229","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2010-10-06T18:49:37Z","cross_cats_sorted":[],"title_canon_sha256":"0800581dc07773367ee7f1ce0a3b51becd17e21d75ed25a544aff8b73ed84a4d","abstract_canon_sha256":"11afddb041fd88de8fffe7cd9b0531795f8ad6b1d96fed047c64980350a1f3fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:27.033125Z","signature_b64":"nPfVBnHLEvspY7PIg7fpg+KzuFmZB0+RQZAHvrSdlb9LI+IJxDQZVOj2IM7ZY2Eg6qRinMe9sRL3zM+Trn2qBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1e4d6f02879cbe29d09103f0839254520512a7145d60b95742c2fea9bf1dc62","last_reissued_at":"2026-05-18T04:00:27.032558Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:27.032558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Gianluigi Del Magno, Roberto Markarian","submitted_at":"2010-10-06T18:49:37Z","abstract_excerpt":"In this paper, we prove a criterion for the local ergodicity of non-uniformly hyperbolic symplectic maps with singularities. Our result is an extension of a theorem of Liverani and Wojtkowski."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1229","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":"1010.1229","created_at":"2026-05-18T04:00:27.032651+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.1229v2","created_at":"2026-05-18T04:00:27.032651+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1229","created_at":"2026-05-18T04:00:27.032651+00:00"},{"alias_kind":"pith_short_12","alias_value":"6HSNN4BIPHF6","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6HSNN4BIPHF6FHIJ","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6HSNN4BI","created_at":"2026-05-18T12:26:04.259169+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/6HSNN4BIPHF6FHIJCA7QQOJFIU","json":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU.json","graph_json":"https://pith.science/api/pith-number/6HSNN4BIPHF6FHIJCA7QQOJFIU/graph.json","events_json":"https://pith.science/api/pith-number/6HSNN4BIPHF6FHIJCA7QQOJFIU/events.json","paper":"https://pith.science/paper/6HSNN4BI"},"agent_actions":{"view_html":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU","download_json":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU.json","view_paper":"https://pith.science/paper/6HSNN4BI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.1229&json=true","fetch_graph":"https://pith.science/api/pith-number/6HSNN4BIPHF6FHIJCA7QQOJFIU/graph.json","fetch_events":"https://pith.science/api/pith-number/6HSNN4BIPHF6FHIJCA7QQOJFIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU/action/storage_attestation","attest_author":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU/action/author_attestation","sign_citation":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU/action/citation_signature","submit_replication":"https://pith.science/pith/6HSNN4BIPHF6FHIJCA7QQOJFIU/action/replication_record"}},"created_at":"2026-05-18T04:00:27.032651+00:00","updated_at":"2026-05-18T04:00:27.032651+00:00"}