{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HA3YZTS6ETG7DPNBEXTMQWQ6W7","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":"fc75ebfd07575cf77a680f6d3eab24b21475958890b68266d7643a2aae603993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-22T15:17:06Z","title_canon_sha256":"bfc1a96402bd4fb4a048d77b396a17cef709982f0148ec8656632b8409bfaee3"},"schema_version":"1.0","source":{"id":"1210.5926","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.5926","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"arxiv_version","alias_value":"1210.5926v3","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.5926","created_at":"2026-05-18T01:04:58Z"},{"alias_kind":"pith_short_12","alias_value":"HA3YZTS6ETG7","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HA3YZTS6ETG7DPNB","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HA3YZTS6","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:d0b5b6bad489fe17aaf270094a0befd038520ae4b7aff8cc2152b3aba29b1473","target":"graph","created_at":"2026-05-18T01:04:58Z","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":"A comparison principle for stochastic integro-differential equations driven by Levy processes is proved. This result is obtained via an extension of an Ito formula from [11] for the square of the norm of the positive part of $L_2-$valued, continuous semimartingales, to the case of discontinuous semimartingales.","authors_text":"Istvan Gyongy, Konstantinos Dareiotis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-22T15:17:06Z","title":"A comparison principle for stochastic integro-differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.5926","kind":"arxiv","version":3},"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":"sha256:263d48a0bae15092f992265776a62c5db8e80a281504e7386812dab4476ac3b2","target":"record","created_at":"2026-05-18T01:04:58Z","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":"fc75ebfd07575cf77a680f6d3eab24b21475958890b68266d7643a2aae603993","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-10-22T15:17:06Z","title_canon_sha256":"bfc1a96402bd4fb4a048d77b396a17cef709982f0148ec8656632b8409bfaee3"},"schema_version":"1.0","source":{"id":"1210.5926","kind":"arxiv","version":3}},"canonical_sha256":"38378cce5e24cdf1bda125e6c85a1eb7d568f274bf62fe495c003b1256f99dcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38378cce5e24cdf1bda125e6c85a1eb7d568f274bf62fe495c003b1256f99dcc","first_computed_at":"2026-05-18T01:04:58.251879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:58.251879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"006/iMRnK4TW1Yr2vuvDDPF9cqYB082kzstB1o/CZpaUfIW5Q78nhyBV8WTsQ78u5u+boI4ciQ6oLauuT+DtCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:58.252582Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.5926","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:263d48a0bae15092f992265776a62c5db8e80a281504e7386812dab4476ac3b2","sha256:d0b5b6bad489fe17aaf270094a0befd038520ae4b7aff8cc2152b3aba29b1473"],"state_sha256":"be2d10d87970d8cfde4fdb7b3b8ef00dc43762a13ba04cb8999a1614bd4c9dda"}