{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:WZDNN7DK7P6OLICSQXHEGUCI45","short_pith_number":"pith:WZDNN7DK","canonical_record":{"source":{"id":"2107.08288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-17T17:12:48Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"4d85fa122223d3d5d4d539b506be50972434cbe096b76bc971424ee19a02cba1","abstract_canon_sha256":"1adacc5704d669bed9ae54abc6a307c15c3db10003367712fb9dc8c894e5a2d4"},"schema_version":"1.0"},"canonical_sha256":"b646d6fc6afbfce5a05285ce435048e7740af510f6063ebe10f1c0f7828201f7","source":{"kind":"arxiv","id":"2107.08288","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.08288","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"arxiv_version","alias_value":"2107.08288v1","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.08288","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"pith_short_12","alias_value":"WZDNN7DK7P6O","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZDNN7DK7P6OLICS","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZDNN7DK","created_at":"2026-07-05T02:58:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:WZDNN7DK7P6OLICSQXHEGUCI45","target":"record","payload":{"canonical_record":{"source":{"id":"2107.08288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-17T17:12:48Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"4d85fa122223d3d5d4d539b506be50972434cbe096b76bc971424ee19a02cba1","abstract_canon_sha256":"1adacc5704d669bed9ae54abc6a307c15c3db10003367712fb9dc8c894e5a2d4"},"schema_version":"1.0"},"canonical_sha256":"b646d6fc6afbfce5a05285ce435048e7740af510f6063ebe10f1c0f7828201f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:58:47.730095Z","signature_b64":"waKZaXK22ATeEyuyCX844qopWeA2TEtxcqLdr0AMjrQg44FFs9kVGzgvAHe7iGCK7pRfmZII6GdykmPID2DUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b646d6fc6afbfce5a05285ce435048e7740af510f6063ebe10f1c0f7828201f7","last_reissued_at":"2026-07-05T02:58:47.729596Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:58:47.729596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2107.08288","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:58:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxBgHrK9AIxONM9Ji5XKNUuKhySixOb1ObmjvTzYnqoUKFTuuCVV7cet6rUBjZcsrs3lbSPqVOjgxT+cqptHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:06:42.385658Z"},"content_sha256":"53ed377e380d0913f9b9d6d49d0267b54ec1d162b1e4b5e3f525b6a2baf32584","schema_version":"1.0","event_id":"sha256:53ed377e380d0913f9b9d6d49d0267b54ec1d162b1e4b5e3f525b6a2baf32584"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:WZDNN7DK7P6OLICSQXHEGUCI45","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Reproducing Kernel Hilbert Space Approach to Functional Calibration of Computer Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"stat.ME","authors_text":"Arash Pourhabib, Jianhua Z. Huang, Rui Tuo, Shiyuan He, Yu Ding","submitted_at":"2021-07-17T17:12:48Z","abstract_excerpt":"This paper develops a frequentist solution to the functional calibration problem, where the value of a calibration parameter in a computer model is allowed to vary with the value of control variables in the physical system. The need of functional calibration is motivated by engineering applications where using a constant calibration parameter results in a significant mismatch between outputs from the computer model and the physical experiment. Reproducing kernel Hilbert spaces (RKHS) are used to model the optimal calibration function, defined as the functional relationship between the calibrat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.08288","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2107.08288/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:58:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b/nTBYFtmMK899YTL5rsR3OLx/XRWkTgqa7z+hjnZz9WTEgP4CarSVWOLk6kHVJ0phsBlEwjeoQIa7BD1a+yBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:06:42.386022Z"},"content_sha256":"88cbfdb28072d2f6be19dda9aa432ac6d3ecf1078c924ca77f9652b9d8ff297a","schema_version":"1.0","event_id":"sha256:88cbfdb28072d2f6be19dda9aa432ac6d3ecf1078c924ca77f9652b9d8ff297a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZDNN7DK7P6OLICSQXHEGUCI45/bundle.json","state_url":"https://pith.science/pith/WZDNN7DK7P6OLICSQXHEGUCI45/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZDNN7DK7P6OLICSQXHEGUCI45/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-05T09:06:42Z","links":{"resolver":"https://pith.science/pith/WZDNN7DK7P6OLICSQXHEGUCI45","bundle":"https://pith.science/pith/WZDNN7DK7P6OLICSQXHEGUCI45/bundle.json","state":"https://pith.science/pith/WZDNN7DK7P6OLICSQXHEGUCI45/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZDNN7DK7P6OLICSQXHEGUCI45/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WZDNN7DK7P6OLICSQXHEGUCI45","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":"1adacc5704d669bed9ae54abc6a307c15c3db10003367712fb9dc8c894e5a2d4","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-17T17:12:48Z","title_canon_sha256":"4d85fa122223d3d5d4d539b506be50972434cbe096b76bc971424ee19a02cba1"},"schema_version":"1.0","source":{"id":"2107.08288","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2107.08288","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"arxiv_version","alias_value":"2107.08288v1","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2107.08288","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"pith_short_12","alias_value":"WZDNN7DK7P6O","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"pith_short_16","alias_value":"WZDNN7DK7P6OLICS","created_at":"2026-07-05T02:58:47Z"},{"alias_kind":"pith_short_8","alias_value":"WZDNN7DK","created_at":"2026-07-05T02:58:47Z"}],"graph_snapshots":[{"event_id":"sha256:88cbfdb28072d2f6be19dda9aa432ac6d3ecf1078c924ca77f9652b9d8ff297a","target":"graph","created_at":"2026-07-05T02:58:47Z","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/2107.08288/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper develops a frequentist solution to the functional calibration problem, where the value of a calibration parameter in a computer model is allowed to vary with the value of control variables in the physical system. The need of functional calibration is motivated by engineering applications where using a constant calibration parameter results in a significant mismatch between outputs from the computer model and the physical experiment. Reproducing kernel Hilbert spaces (RKHS) are used to model the optimal calibration function, defined as the functional relationship between the calibrat","authors_text":"Arash Pourhabib, Jianhua Z. Huang, Rui Tuo, Shiyuan He, Yu Ding","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-17T17:12:48Z","title":"A Reproducing Kernel Hilbert Space Approach to Functional Calibration of Computer Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2107.08288","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":"sha256:53ed377e380d0913f9b9d6d49d0267b54ec1d162b1e4b5e3f525b6a2baf32584","target":"record","created_at":"2026-07-05T02:58:47Z","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":"1adacc5704d669bed9ae54abc6a307c15c3db10003367712fb9dc8c894e5a2d4","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2021-07-17T17:12:48Z","title_canon_sha256":"4d85fa122223d3d5d4d539b506be50972434cbe096b76bc971424ee19a02cba1"},"schema_version":"1.0","source":{"id":"2107.08288","kind":"arxiv","version":1}},"canonical_sha256":"b646d6fc6afbfce5a05285ce435048e7740af510f6063ebe10f1c0f7828201f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b646d6fc6afbfce5a05285ce435048e7740af510f6063ebe10f1c0f7828201f7","first_computed_at":"2026-07-05T02:58:47.729596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:58:47.729596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"waKZaXK22ATeEyuyCX844qopWeA2TEtxcqLdr0AMjrQg44FFs9kVGzgvAHe7iGCK7pRfmZII6GdykmPID2DUCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:58:47.730095Z","signed_message":"canonical_sha256_bytes"},"source_id":"2107.08288","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53ed377e380d0913f9b9d6d49d0267b54ec1d162b1e4b5e3f525b6a2baf32584","sha256:88cbfdb28072d2f6be19dda9aa432ac6d3ecf1078c924ca77f9652b9d8ff297a"],"state_sha256":"2d36d17604ce7894cab8f25df4ed68482537002c8b657ef311ded987cb807e53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q7JQksTMfguWwXzNQr5WUKtztll/NOromZ8NNSTUgy0a/FXFU2oJATmdGMr+jrgcQ8OsG8rUT33yi5daHOtwDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:06:42.388186Z","bundle_sha256":"b987413cb0113c78a29a76666d12809aff552c64b13c3a3ab357fbfbf5e1761c"}}