{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2IO4QW2NCVZCCUARMCM24FMTLA","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":"034c640d9736a7c7e40fd712921c7ea67bb03100e1df5750877ab7480ad47acc","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-03-03T20:32:29Z","title_canon_sha256":"38bd67b945cd1efdb3d3639e73d9889a6c87348c508223f4575f06defb027532"},"schema_version":"1.0","source":{"id":"1803.01231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01231","created_at":"2026-05-17T23:54:34Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01231v2","created_at":"2026-05-17T23:54:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01231","created_at":"2026-05-17T23:54:34Z"},{"alias_kind":"pith_short_12","alias_value":"2IO4QW2NCVZC","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2IO4QW2NCVZCCUAR","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2IO4QW2N","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:b7cad73da3b0e75f7aec2a530d0da0b90d26e730a1a747b19ecbd4e2e88666f6","target":"graph","created_at":"2026-05-17T23:54:34Z","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 develop a Bayesian approach called Bayesian projected calibration to address the problem of calibrating an imperfect computer model using observational data from a complex physical system. The calibration parameter and the physical system are parametrized in an identifiable fashion via $L_2$-projection. The physical process is assigned a Gaussian process prior, which naturally induces a prior distribution on the calibration parameter through the $L_2$-projection constraint. The calibration parameter is estimated through its posterior distribution, which provides a natural and non-asymptotic","authors_text":"Fangzheng Xie, Yanxun Xu","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-03-03T20:32:29Z","title":"Bayesian Projected Calibration of Computer Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01231","kind":"arxiv","version":2},"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":"sha256:3bd83f268c1d552c43e571a2a3ccb7fa2c3a24d7e9320f8a842a5392913e070b","target":"record","created_at":"2026-05-17T23:54:34Z","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":"034c640d9736a7c7e40fd712921c7ea67bb03100e1df5750877ab7480ad47acc","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-03-03T20:32:29Z","title_canon_sha256":"38bd67b945cd1efdb3d3639e73d9889a6c87348c508223f4575f06defb027532"},"schema_version":"1.0","source":{"id":"1803.01231","kind":"arxiv","version":2}},"canonical_sha256":"d21dc85b4d15722150116099ae1593581e25dc38c79db7f8f2ad453a338f417d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d21dc85b4d15722150116099ae1593581e25dc38c79db7f8f2ad453a338f417d","first_computed_at":"2026-05-17T23:54:34.515169Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:34.515169Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vAJjmnEw8yis11/LQYEuLbWYv1sPCdiLgC/urq3TJMyVJIxEUZEcQmm8QLKU4CAnCU3a70xFh40Tf54yco03BA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:34.515741Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bd83f268c1d552c43e571a2a3ccb7fa2c3a24d7e9320f8a842a5392913e070b","sha256:b7cad73da3b0e75f7aec2a530d0da0b90d26e730a1a747b19ecbd4e2e88666f6"],"state_sha256":"dc25479c61a9315391724317cf56b7fdb7da490dd9b060a9fe43c53bfd3cac5c"}