{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DEDRXUK2BCZOQS5NTLMLGC4DV5","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":"ca1d5a4dad02039b1a4dd526ce25e38072722c87bf7a04968078cebfa13adeb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-03-31T17:36:49Z","title_canon_sha256":"b896f1dd6dd6a029b022c0059017600a9a1891b87449d0f24675a8905c22ec58"},"schema_version":"1.0","source":{"id":"1504.00313","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00313","created_at":"2026-05-18T02:19:44Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00313v1","created_at":"2026-05-18T02:19:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00313","created_at":"2026-05-18T02:19:44Z"},{"alias_kind":"pith_short_12","alias_value":"DEDRXUK2BCZO","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DEDRXUK2BCZOQS5N","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DEDRXUK2","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:336347406b6ab7ab3b1f0ac376c27bcbea6dc129a26ddaa08ee87862c3ee52cb","target":"graph","created_at":"2026-05-18T02:19:44Z","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 introduce a level set based approach to Bayesian geometric inverse problems. In these problems the interface between different domains is the key unknown, and is realized as the level set of a function. This function itself becomes the object of the inference. Whilst the level set methodology has been widely used for the solution of geometric inverse problems, the Bayesian formulation that we develop here contains two significant advances: firstly it leads to a well-posed inverse problem in which the posterior distribution is Lipschitz with respect to the observed data; and secondly it lead","authors_text":"Andrew M. Stuart, Marco A. Iglesias, Yulong Lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-03-31T17:36:49Z","title":"A Bayesian Level Set Method for Geometric Inverse Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00313","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":"sha256:5908ac8fd512c4007cc3c2b644d811456be0072bfd513e3f69efc705ebf733ca","target":"record","created_at":"2026-05-18T02:19:44Z","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":"ca1d5a4dad02039b1a4dd526ce25e38072722c87bf7a04968078cebfa13adeb3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-03-31T17:36:49Z","title_canon_sha256":"b896f1dd6dd6a029b022c0059017600a9a1891b87449d0f24675a8905c22ec58"},"schema_version":"1.0","source":{"id":"1504.00313","kind":"arxiv","version":1}},"canonical_sha256":"19071bd15a08b2e84bad9ad8b30b83af6b78fe0f1ee99a0195040f27ecf9a0a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19071bd15a08b2e84bad9ad8b30b83af6b78fe0f1ee99a0195040f27ecf9a0a1","first_computed_at":"2026-05-18T02:19:44.108046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:19:44.108046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k1LRpPQryBES/t77TVPNHzc8y7jC0bCfIQO7gT41VxnsY2qJvdxUR7RV0B89d10TgxTLu0SHNm8hhXaIPx8FDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:19:44.108476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00313","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5908ac8fd512c4007cc3c2b644d811456be0072bfd513e3f69efc705ebf733ca","sha256:336347406b6ab7ab3b1f0ac376c27bcbea6dc129a26ddaa08ee87862c3ee52cb"],"state_sha256":"07dd986ddfe353861d554299cb06124c7dfcc589f5f8528651777e335b6c6ba5"}