{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:MMABZRPET6N56UJA4B7DEJ4LOD","short_pith_number":"pith:MMABZRPE","schema_version":"1.0","canonical_sha256":"63001cc5e49f9bdf5120e07e32278b70fb55f7a2c118564d66203c7a5ddce4ec","source":{"kind":"arxiv","id":"1210.2004","version":3},"attestation_state":"computed","paper":{"title":"Large deviations of the empirical flow for continuous time Markov chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alessandra Faggionato, Davide Gabrielli, Lorenzo Bertini","submitted_at":"2012-10-06T21:59:42Z","abstract_excerpt":"We consider a continuous time Markov chain on a countable state space and prove a joint large deviation principle for the empirical measure and the empirical flow, which accounts for the total number of jumps between pairs of states. We give a direct proof using tilting and an indirect one by contraction from the empirical process."},"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":"1210.2004","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-06T21:59:42Z","cross_cats_sorted":[],"title_canon_sha256":"f949d67d54cb0595a527a601472f26a1d6d18fdf998616da37b98435e66bd89e","abstract_canon_sha256":"3b59381344a21b76114462e0260d87dc7dc8a24c3d5ae307c392f6557b7da941"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:17.720775Z","signature_b64":"OJiWZMJdrzC+WW8H9zcwgDPYs/VWkb7BoTqIzC7GcGKBM5MfAoHwqxwFwdqAm7xsTCpBS33QzaNzftgNR4dYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"63001cc5e49f9bdf5120e07e32278b70fb55f7a2c118564d66203c7a5ddce4ec","last_reissued_at":"2026-05-18T02:29:17.720246Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:17.720246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Large deviations of the empirical flow for continuous time Markov chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Alessandra Faggionato, Davide Gabrielli, Lorenzo Bertini","submitted_at":"2012-10-06T21:59:42Z","abstract_excerpt":"We consider a continuous time Markov chain on a countable state space and prove a joint large deviation principle for the empirical measure and the empirical flow, which accounts for the total number of jumps between pairs of states. We give a direct proof using tilting and an indirect one by contraction from the empirical process."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.2004","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":"1210.2004","created_at":"2026-05-18T02:29:17.720322+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.2004v3","created_at":"2026-05-18T02:29:17.720322+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.2004","created_at":"2026-05-18T02:29:17.720322+00:00"},{"alias_kind":"pith_short_12","alias_value":"MMABZRPET6N5","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_16","alias_value":"MMABZRPET6N56UJA","created_at":"2026-05-18T12:27:14.488303+00:00"},{"alias_kind":"pith_short_8","alias_value":"MMABZRPE","created_at":"2026-05-18T12:27:14.488303+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/MMABZRPET6N56UJA4B7DEJ4LOD","json":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD.json","graph_json":"https://pith.science/api/pith-number/MMABZRPET6N56UJA4B7DEJ4LOD/graph.json","events_json":"https://pith.science/api/pith-number/MMABZRPET6N56UJA4B7DEJ4LOD/events.json","paper":"https://pith.science/paper/MMABZRPE"},"agent_actions":{"view_html":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD","download_json":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD.json","view_paper":"https://pith.science/paper/MMABZRPE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.2004&json=true","fetch_graph":"https://pith.science/api/pith-number/MMABZRPET6N56UJA4B7DEJ4LOD/graph.json","fetch_events":"https://pith.science/api/pith-number/MMABZRPET6N56UJA4B7DEJ4LOD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD/action/storage_attestation","attest_author":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD/action/author_attestation","sign_citation":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD/action/citation_signature","submit_replication":"https://pith.science/pith/MMABZRPET6N56UJA4B7DEJ4LOD/action/replication_record"}},"created_at":"2026-05-18T02:29:17.720322+00:00","updated_at":"2026-05-18T02:29:17.720322+00:00"}