{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:FS2PAYS53FCO6XQM5VCAPWPJNT","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9d70a22e42a40c5cde18e5f6374f839af40e2365245d27a75e9640048d84eedb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-19T16:50:56Z","title_canon_sha256":"3a2c4cf956bf6e1af316a52e0e3a97a8a116e632431ca1d45950b0e2e11513e2"},"schema_version":"1.0","source":{"id":"1108.4003","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.4003","created_at":"2026-05-18T03:57:53Z"},{"alias_kind":"arxiv_version","alias_value":"1108.4003v2","created_at":"2026-05-18T03:57:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.4003","created_at":"2026-05-18T03:57:53Z"},{"alias_kind":"pith_short_12","alias_value":"FS2PAYS53FCO","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"FS2PAYS53FCO6XQM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"FS2PAYS5","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:a6b5a98b867a9f8679969a1a9c752cc0fe720c308d8829f31597b53f287fa5de","target":"graph","created_at":"2026-05-18T03:57:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Using the balayage formula, we prove an inequality between the measures associated to local times of semimartingales. Our result extends the \"comparison theorem of local times\" of Ouknine $(1988)$, which is useful in the study of stochastic differential equations. The inequality presented in this paper covers the discontinuous case. Moreover, we study the pathwise uniqueness of some stochastic differential equations involving local time of unknown process.","authors_text":"M. Benabdallah, S. Bouhadou, Y. Ouknine","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-19T16:50:56Z","title":"On semimartingale local time inequalities and applications in SDE's"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.4003","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:416dafe01fac6f5d955110ba82ee40fc5f00532abc2075cb7a763399924436dd","target":"record","created_at":"2026-05-18T03:57:53Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9d70a22e42a40c5cde18e5f6374f839af40e2365245d27a75e9640048d84eedb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2011-08-19T16:50:56Z","title_canon_sha256":"3a2c4cf956bf6e1af316a52e0e3a97a8a116e632431ca1d45950b0e2e11513e2"},"schema_version":"1.0","source":{"id":"1108.4003","kind":"arxiv","version":2}},"canonical_sha256":"2cb4f0625dd944ef5e0ced4407d9e96cf80fce6ce6c1ff90262b62dee5a1ba89","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2cb4f0625dd944ef5e0ced4407d9e96cf80fce6ce6c1ff90262b62dee5a1ba89","first_computed_at":"2026-05-18T03:57:53.358096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:53.358096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h+gbFidmnMJ04VhS6dJvS/FKXyHi23lUvC2p8DmjmT5JuQ4PoHaUX4/AXk+kzU4q9BPQErrTMkXd0lsY1jf/CA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:53.358722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.4003","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:416dafe01fac6f5d955110ba82ee40fc5f00532abc2075cb7a763399924436dd","sha256:a6b5a98b867a9f8679969a1a9c752cc0fe720c308d8829f31597b53f287fa5de"],"state_sha256":"ff7867dea4720d00bf2833f7a912e46e0d98297b73660a901f59da0b49758562"}