{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:C5N7FH523GOL3OQDJS76LUYGDR","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":"08b4721cf201b7d0420072e8898aad140d379a1e2419b43007c614c4330b45c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-19T03:53:57Z","title_canon_sha256":"52368e78508a0ea323346874c2bc51c311230b58ae9b11c4bbcbac604e437b6d"},"schema_version":"1.0","source":{"id":"1408.4205","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4205","created_at":"2026-05-18T02:44:55Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4205v1","created_at":"2026-05-18T02:44:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4205","created_at":"2026-05-18T02:44:55Z"},{"alias_kind":"pith_short_12","alias_value":"C5N7FH523GOL","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"C5N7FH523GOL3OQD","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"C5N7FH52","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:1a41d3b64c884a93a8a2bb05563c37496b7eb5ff1955adee1fb6a65bb17e2a1e","target":"graph","created_at":"2026-05-18T02:44:55Z","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":"We offer a new Monte-Carlo method for solving of linear integral equation which gives the unbiased estimation for solution of Volterra's and Fredholm's type, and consider the problem of confidence region building.\n  We study especially the case of the so-called equations with weak singularity in the kernel of Abelian type.","authors_text":"E.Ostrovsky, L.Sirota","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-19T03:53:57Z","title":"Unbiased Monte Carlo estimation for solving of linear integral equation, with error estimate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4205","kind":"arxiv","version":1},"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:b08a6f1151344c759bdfd26c68c02463a2373e82aa4e21e78d434f483087d103","target":"record","created_at":"2026-05-18T02:44:55Z","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":"08b4721cf201b7d0420072e8898aad140d379a1e2419b43007c614c4330b45c0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-08-19T03:53:57Z","title_canon_sha256":"52368e78508a0ea323346874c2bc51c311230b58ae9b11c4bbcbac604e437b6d"},"schema_version":"1.0","source":{"id":"1408.4205","kind":"arxiv","version":1}},"canonical_sha256":"175bf29fbad99cbdba034cbfe5d3061c763682b88f5448aca476234b187d5046","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"175bf29fbad99cbdba034cbfe5d3061c763682b88f5448aca476234b187d5046","first_computed_at":"2026-05-18T02:44:55.877380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:55.877380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"J/N0D86Xnm/jBQ2T4WogogkjrB2j4L4lGQ/pyoi/axiPg/W2Km+MLz7kBITkUjzj387am/zw9/RY+weOmwesAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:55.877764Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4205","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b08a6f1151344c759bdfd26c68c02463a2373e82aa4e21e78d434f483087d103","sha256:1a41d3b64c884a93a8a2bb05563c37496b7eb5ff1955adee1fb6a65bb17e2a1e"],"state_sha256":"680c2d6618cf6f6254e281b0eeea77aee6472bb2a25891d32ee3311499a9e6aa"}