{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X7ONGE6CMZNVGIDUPWGPDVXUBJ","short_pith_number":"pith:X7ONGE6C","schema_version":"1.0","canonical_sha256":"bfdcd313c2665b5320747d8cf1d6f40a45c0429a03afc05e045542b0fb7bfb5f","source":{"kind":"arxiv","id":"1612.03824","version":1},"attestation_state":"computed","paper":{"title":"A note on existence of global solutions and invariant measures for jump SDEs with locally one-sided Lipschitz drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mateusz B. Majka","submitted_at":"2016-12-12T18:06:50Z","abstract_excerpt":"We extend some methods developed by Albeverio, Brze\\'{z}niak and Wu and we show how to apply them in order to prove existence of global strong solutions of stochastic differential equations with jumps, under a local one-sided Lipschitz condition on the drift (also known as a monotonicity condition) and a local Lipschitz condition on the diffusion and jump coefficients, while an additional global one-sided linear growth assumption is satisfied. Then we use these methods to prove existence of invariant measures for a broad class of such equations."},"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":"1612.03824","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2016-12-12T18:06:50Z","cross_cats_sorted":[],"title_canon_sha256":"a11cc275b02a70b1bc286d9b22ad49d3eb756c752ddccfc9c221f3fbbc2727a1","abstract_canon_sha256":"2f1fed4f806ab1c0893a0b141cfcd836a75c202b6d4d6574be47bc60f3e214a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:18.236680Z","signature_b64":"LxNAHM2DncgK2eOxh2dJTsHkb7MAe6R8urn79sT9osjmWpOHn7Ks6d9JpkeiX2RM8sJlx2cr1SgMX5qiOsumAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bfdcd313c2665b5320747d8cf1d6f40a45c0429a03afc05e045542b0fb7bfb5f","last_reissued_at":"2026-05-18T00:55:18.236165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:18.236165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A note on existence of global solutions and invariant measures for jump SDEs with locally one-sided Lipschitz drift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Mateusz B. Majka","submitted_at":"2016-12-12T18:06:50Z","abstract_excerpt":"We extend some methods developed by Albeverio, Brze\\'{z}niak and Wu and we show how to apply them in order to prove existence of global strong solutions of stochastic differential equations with jumps, under a local one-sided Lipschitz condition on the drift (also known as a monotonicity condition) and a local Lipschitz condition on the diffusion and jump coefficients, while an additional global one-sided linear growth assumption is satisfied. Then we use these methods to prove existence of invariant measures for a broad class of such equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03824","kind":"arxiv","version":1},"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":"1612.03824","created_at":"2026-05-18T00:55:18.236247+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.03824v1","created_at":"2026-05-18T00:55:18.236247+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03824","created_at":"2026-05-18T00:55:18.236247+00:00"},{"alias_kind":"pith_short_12","alias_value":"X7ONGE6CMZNV","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X7ONGE6CMZNVGIDU","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X7ONGE6C","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/X7ONGE6CMZNVGIDUPWGPDVXUBJ","json":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ.json","graph_json":"https://pith.science/api/pith-number/X7ONGE6CMZNVGIDUPWGPDVXUBJ/graph.json","events_json":"https://pith.science/api/pith-number/X7ONGE6CMZNVGIDUPWGPDVXUBJ/events.json","paper":"https://pith.science/paper/X7ONGE6C"},"agent_actions":{"view_html":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ","download_json":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ.json","view_paper":"https://pith.science/paper/X7ONGE6C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.03824&json=true","fetch_graph":"https://pith.science/api/pith-number/X7ONGE6CMZNVGIDUPWGPDVXUBJ/graph.json","fetch_events":"https://pith.science/api/pith-number/X7ONGE6CMZNVGIDUPWGPDVXUBJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ/action/storage_attestation","attest_author":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ/action/author_attestation","sign_citation":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ/action/citation_signature","submit_replication":"https://pith.science/pith/X7ONGE6CMZNVGIDUPWGPDVXUBJ/action/replication_record"}},"created_at":"2026-05-18T00:55:18.236247+00:00","updated_at":"2026-05-18T00:55:18.236247+00:00"}