{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MR4PPRTX6Y6DKYZJVJ5DCIIOAK","short_pith_number":"pith:MR4PPRTX","schema_version":"1.0","canonical_sha256":"6478f7c677f63c356329aa7a31210e02a0b13c8a17b5db4296714e33de9ab931","source":{"kind":"arxiv","id":"1801.07669","version":2},"attestation_state":"computed","paper":{"title":"Ergodic control of a class of jump diffusions with finite L\\'evy measures and rough kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Ari Arapostathis, Guodong Pang, Luis Caffarelli, Yi Zheng","submitted_at":"2018-01-23T17:33:12Z","abstract_excerpt":"We study the ergodic control problem for a class of jump diffusions in $\\mathbb{R}^d$, which are controlled through the drift with bounded controls. The Levy measure is finite, but has no particular structure; it can be anisotropic and singular. Moreover, there is no blanket ergodicity assumption for the controlled process. Unstable behavior is `discouraged' by the running cost which satisfies a mild coercive hypothesis (i.e., is near-monotone). We first study the problem in its weak formulation as an optimization problem on the space of infinitesimal ergodic occupation measures, and derive th"},"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":"1801.07669","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-01-23T17:33:12Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"3f627ef4c8c9b8bffc85e10565ca330b8febfd59fb0d47fec3e3a5e61c7e861e","abstract_canon_sha256":"cb5a160c61b1006ed8a7f363da2f08b7634b1c3f475eb370de52b8501c9a8a73"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:49.771122Z","signature_b64":"OhFnTp0QnKYfLSXUCpz8wh5ogP7ks5R9bgP/3nTghf1qAuSzg/dou+ZrI9KqIP92qLcgrzPcu4t5YVnu5dU1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6478f7c677f63c356329aa7a31210e02a0b13c8a17b5db4296714e33de9ab931","last_reissued_at":"2026-05-17T23:40:49.770401Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:49.770401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ergodic control of a class of jump diffusions with finite L\\'evy measures and rough kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.OC","authors_text":"Ari Arapostathis, Guodong Pang, Luis Caffarelli, Yi Zheng","submitted_at":"2018-01-23T17:33:12Z","abstract_excerpt":"We study the ergodic control problem for a class of jump diffusions in $\\mathbb{R}^d$, which are controlled through the drift with bounded controls. The Levy measure is finite, but has no particular structure; it can be anisotropic and singular. Moreover, there is no blanket ergodicity assumption for the controlled process. Unstable behavior is `discouraged' by the running cost which satisfies a mild coercive hypothesis (i.e., is near-monotone). We first study the problem in its weak formulation as an optimization problem on the space of infinitesimal ergodic occupation measures, and derive th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.07669","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":"1801.07669","created_at":"2026-05-17T23:40:49.770517+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.07669v2","created_at":"2026-05-17T23:40:49.770517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.07669","created_at":"2026-05-17T23:40:49.770517+00:00"},{"alias_kind":"pith_short_12","alias_value":"MR4PPRTX6Y6D","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"MR4PPRTX6Y6DKYZJ","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"MR4PPRTX","created_at":"2026-05-18T12:32:40.477152+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/MR4PPRTX6Y6DKYZJVJ5DCIIOAK","json":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK.json","graph_json":"https://pith.science/api/pith-number/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/graph.json","events_json":"https://pith.science/api/pith-number/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/events.json","paper":"https://pith.science/paper/MR4PPRTX"},"agent_actions":{"view_html":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK","download_json":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK.json","view_paper":"https://pith.science/paper/MR4PPRTX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.07669&json=true","fetch_graph":"https://pith.science/api/pith-number/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/graph.json","fetch_events":"https://pith.science/api/pith-number/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/action/storage_attestation","attest_author":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/action/author_attestation","sign_citation":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/action/citation_signature","submit_replication":"https://pith.science/pith/MR4PPRTX6Y6DKYZJVJ5DCIIOAK/action/replication_record"}},"created_at":"2026-05-17T23:40:49.770517+00:00","updated_at":"2026-05-17T23:40:49.770517+00:00"}