{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3EJXJ75L7NDLNG5UK536CHXKFW","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":"9dde93894d9de0b7c789f8526b01a7ba4cb9e4e6e4982902fc3e7897eb456fca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-02-27T20:55:02Z","title_canon_sha256":"e18a226cd381094ceacab3a885f5e40b04ad6a0b2fdd733c702a403ac7465197"},"schema_version":"1.0","source":{"id":"1302.6989","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.6989","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"1302.6989v4","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.6989","created_at":"2026-05-18T01:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"3EJXJ75L7NDL","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3EJXJ75L7NDLNG5U","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3EJXJ75L","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:59b7ece6ad5d5c87fd991464818ab0a4de050e4ec15d1b42d8ccd46b3713dce9","target":"graph","created_at":"2026-05-18T01:37:29Z","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":"These lecture notes highlight the mathematical and computational structure relating to the formulation of, and development of algorithms for, the Bayesian approach to inverse problems in differential equations. This approach is fundamental in the quantification of uncertainty within applications involving the blending of mathematical models with data.","authors_text":"Andrew M. Stuart, Masoumeh Dashti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-02-27T20:55:02Z","title":"The Bayesian Approach To Inverse Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.6989","kind":"arxiv","version":4},"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":"sha256:9cfd35b86c95882ff6f1cae068f6e6d6972d39029cf67d1e8d699a431fb5e9d7","target":"record","created_at":"2026-05-18T01:37:29Z","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":"9dde93894d9de0b7c789f8526b01a7ba4cb9e4e6e4982902fc3e7897eb456fca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-02-27T20:55:02Z","title_canon_sha256":"e18a226cd381094ceacab3a885f5e40b04ad6a0b2fdd733c702a403ac7465197"},"schema_version":"1.0","source":{"id":"1302.6989","kind":"arxiv","version":4}},"canonical_sha256":"d91374ffabfb46b69bb45777e11eea2d82b32a7a05ffd4b16351e4f3bafb868b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d91374ffabfb46b69bb45777e11eea2d82b32a7a05ffd4b16351e4f3bafb868b","first_computed_at":"2026-05-18T01:37:29.019823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:29.019823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"np2mnT0f8KvAbkkfBxra90+JK+2lfiGpKOcuZhzp9MHio6ME5HF3q0WuWvrX51UfgsoPI61taqCyrhJfKdV3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:29.020486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.6989","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9cfd35b86c95882ff6f1cae068f6e6d6972d39029cf67d1e8d699a431fb5e9d7","sha256:59b7ece6ad5d5c87fd991464818ab0a4de050e4ec15d1b42d8ccd46b3713dce9"],"state_sha256":"d4839041cac5c3b92b1dd4eb846329ce33e9d8497bc0d9cab7ccd79205b14544"}