{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:5CTSRUBSPXMV5BZKTOQVZFTNSY","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":"5eddf8f3b54cb69c1083d845b5efaf18928ef9a4e203324728760c203a1b3ef6","cross_cats_sorted":["cs.NA","math.NA","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-08-02T18:49:07Z","title_canon_sha256":"d41b0dce2ed672d5f06abdbecfcedc98fafaa1224a78bba440f089d47733fcf5"},"schema_version":"1.0","source":{"id":"2608.01439","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01439","created_at":"2026-08-04T02:05:13Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01439v1","created_at":"2026-08-04T02:05:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01439","created_at":"2026-08-04T02:05:13Z"},{"alias_kind":"pith_short_12","alias_value":"5CTSRUBSPXMV","created_at":"2026-08-04T02:05:13Z"},{"alias_kind":"pith_short_16","alias_value":"5CTSRUBSPXMV5BZK","created_at":"2026-08-04T02:05:13Z"},{"alias_kind":"pith_short_8","alias_value":"5CTSRUBS","created_at":"2026-08-04T02:05:13Z"}],"graph_snapshots":[{"event_id":"sha256:6c0d79f67070b01b96d943a6cb64e739161652bd14cc663093a71d1f48da437b","target":"graph","created_at":"2026-08-04T02:05:13Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2608.01439/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this concise paper, we investigate a computational class of random inverse problems that incorporates model uncertainties through random variable parameters nonlinearly in the forward model as well as additive observational uncertainty. Random inverse problems with nonlinear parameter dependencies may arise in engineering, geophysics, image processing or uncertainty quantification. We introduce a new perspective on structural ambiguities due to the non-injectivity of the forward model together with probabilistic ambiguities by assigning mixture model densities with separate components to th","authors_text":"Wolfgang Hoegele","cross_cats":["cs.NA","math.NA","stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-08-02T18:49:07Z","title":"Random Inverse Problems with Structural and Probabilistic Ambiguities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01439","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:b4eac88aef81bd0a5e54e12e445d91936ae61b98610444f10144d1002b7b9b01","target":"record","created_at":"2026-08-04T02:05:13Z","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":"5eddf8f3b54cb69c1083d845b5efaf18928ef9a4e203324728760c203a1b3ef6","cross_cats_sorted":["cs.NA","math.NA","stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-08-02T18:49:07Z","title_canon_sha256":"d41b0dce2ed672d5f06abdbecfcedc98fafaa1224a78bba440f089d47733fcf5"},"schema_version":"1.0","source":{"id":"2608.01439","kind":"arxiv","version":1}},"canonical_sha256":"e8a728d0327dd95e872a9ba15c966d960876ad60ad69c16b057535c7c422e6bf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8a728d0327dd95e872a9ba15c966d960876ad60ad69c16b057535c7c422e6bf","first_computed_at":"2026-08-04T02:05:13.491981Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:05:13.491981Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o7XYFlm7qMWveXkAgJfXcr5N2wPB4iopWhUsOF5yx2+rCUC8/qwTy41nc04AThv6EownpYS0ZCKfxjBpOWMpDw==","signature_status":"signed_v1","signed_at":"2026-08-04T02:05:13.493468Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01439","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4eac88aef81bd0a5e54e12e445d91936ae61b98610444f10144d1002b7b9b01","sha256:6c0d79f67070b01b96d943a6cb64e739161652bd14cc663093a71d1f48da437b"],"state_sha256":"432fd350570d5048286b6effc059236284e8953bc8aa6e15603b74598d20d839"}