{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","short_pith_number":"pith:A7INK2HJ","canonical_record":{"source":{"id":"2605.20145","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ML","submitted_at":"2026-05-19T17:32:25Z","cross_cats_sorted":["cs.LG","stat.ME"],"title_canon_sha256":"5d31b414496c3bc52d767efd6bd0655cc85990f35dbbf98e14bef29265da96f4","abstract_canon_sha256":"da9a713673886dc95e3051fd1eb345308ac81a91daf5bc0d485efb768da2bb06"},"schema_version":"1.0"},"canonical_sha256":"07d0d568e98d54bda28c68a0c581b37af80860259bb868ce3c4824764b42f1b2","source":{"kind":"arxiv","id":"2605.20145","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20145","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20145v1","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20145","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"A7INK2HJRVKL","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_16","alias_value":"A7INK2HJRVKL3IUM","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_8","alias_value":"A7INK2HJ","created_at":"2026-05-20T02:06:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20145","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ML","submitted_at":"2026-05-19T17:32:25Z","cross_cats_sorted":["cs.LG","stat.ME"],"title_canon_sha256":"5d31b414496c3bc52d767efd6bd0655cc85990f35dbbf98e14bef29265da96f4","abstract_canon_sha256":"da9a713673886dc95e3051fd1eb345308ac81a91daf5bc0d485efb768da2bb06"},"schema_version":"1.0"},"canonical_sha256":"07d0d568e98d54bda28c68a0c581b37af80860259bb868ce3c4824764b42f1b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T02:06:04.053214Z","signature_b64":"UqHc5uvOx77KjdjIixVHmSp1FTl5JfTHs7lhujlEp1Mi4m808vPmqWi0K+VsICQYc5kHKfvSnX826yrhE70+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07d0d568e98d54bda28c68a0c581b37af80860259bb868ce3c4824764b42f1b2","last_reissued_at":"2026-05-20T02:06:04.052399Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T02:06:04.052399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20145","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":"2026-05-20T02:06:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qhtRs3irUyInjarV13J8St9WZio4xN0FFHIVrHDCbyIvt/QLzu5R9gbpugjMiWenNHOOtqYheH5tlFMEjEF7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.958935Z"},"content_sha256":"4eaddbc08a67b3f8b46218361bfd857fd47b59946e22ee7626b4114359543d42","schema_version":"1.0","event_id":"sha256:4eaddbc08a67b3f8b46218361bfd857fd47b59946e22ee7626b4114359543d42"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Goal-Oriented Lower-Tail Calibration of Gaussian Processes for Bayesian Optimization","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.LG","stat.ME"],"primary_cat":"stat.ML","authors_text":"Aur\\'elien Pion, Emmanuel Vazquez","submitted_at":"2026-05-19T17:32:25Z","abstract_excerpt":"Bayesian optimization (BO) selects evaluation points for expensive black-box objectives using Gaussian process (GP) predictive distributions. Kernel choice and hyperparameter selection can lead to miscalibrated predictive distributions and an inappropriate exploration-exploitation trade-off. For minimization, sampling criteria such as expected improvement (EI) depend on the predictive distribution below the current best value, so lower-tail miscalibration directly affects the sampling decision. This article studies goal-oriented calibration of GP predictive distributions below a low threshold "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20145","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/2605.20145/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":"2026-05-20T02:06:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PbOGvAtIgMFbOEdykJLF1SGY535qqs5XiJEgSPevepFRIQS5Xh7kWEgs1dGF5MsJkMbZQQPv8EzUf1znlAmeDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.959367Z"},"content_sha256":"09d28b81bd02231762628d9dcb7c7e0f81ee361621595829a68921ef85c1e759","schema_version":"1.0","event_id":"sha256:09d28b81bd02231762628d9dcb7c7e0f81ee361621595829a68921ef85c1e759"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"integrity","payload":{"note":"URL 'https://www.sfu.ca/˜ssurjano/' returned status transport error (unexpected: UnicodeEncodeError: 'ascii' codec can't encode character '\\u02dc' in position 6: ordinal not in range(128)) at last check.","snippet":null,"arxiv_id":"2605.20145","detector":"external_links","evidence":{"url":"https://www.sfu.ca/˜ssurjano/","final_url":null,"host_kind":"website","status_code":0,"status_text":"unexpected: UnicodeEncodeError: 'ascii' codec can't encode character '\\u02dc' in position 6: ordinal not in range(128)","verdict_class":"incontrovertible","checked_at_unix":1779298385.6757996},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T17:33:06.218737Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://www.sfu.ca/˜ssurjano/","finding_type":"dead_url","evidence_hash":"83c1aea6c2f062a0017619e5af10d68edb7d2677e1271c49df8a79c6ec1f28c0","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5343,"payload_sha256":"926e5535252dde909d9f99eb114757a98a8cf4f12d9d64f40c38d3914517aae6","signature_b64":"/i6ICowcPrH7U3p3Y9eFrATiGgbWLxySzZnN5rPQScAdBO0FKuL9XoSXizs4kT/nrYuUbxIX55S+b0Vo/C/sCw==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T17:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iukvGh0pNxnidWyAQd2Ba95We2odevKw3FV7ERaJb0ZlHixwjTYP8oy6kPUAzgvIplZCCOPIieFSPkJKluURBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.960541Z"},"content_sha256":"faee47443e0b5395af482bd3f131f786b9f44e9f23f93e3e22dd19079ee2eaaf","schema_version":"1.0","event_id":"sha256:faee47443e0b5395af482bd3f131f786b9f44e9f23f93e3e22dd19079ee2eaaf"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"integrity","payload":{"note":"URL 'https://arxiv' returned status transport error (transport error: [Errno -3] Temporary failure in name resolution) at last check.","snippet":null,"arxiv_id":"2605.20145","detector":"external_links","evidence":{"url":"https://arxiv","final_url":null,"host_kind":"website","status_code":0,"status_text":"transport error: [Errno -3] Temporary failure in name resolution","verdict_class":"incontrovertible","checked_at_unix":1779298385.6623547},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T17:33:06.218737Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://arxiv","finding_type":"dead_url","evidence_hash":"88ffd37c732a39e4f780336192761804d94e37043455cea90ea13cc093ae444e","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5342,"payload_sha256":"34f14bce78c2e9a3fb4dce573def719f435b7b17bc7caeaa9c58910e643c43a4","signature_b64":"t5yd5Rh1QOnZZDSFTbR48LwAuUTCO+knwwl1ULjha3V2yqivnUxmE4PLF5bmd5kd3MRXn/S0+N0J2qBj1tJnDg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T17:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Yho4hYOGc55E5iC8BTKu1kKjfSH2FrpbouykdYKCFjDiK0GBH2ImFKFArySnbygoK1cKLvt1/SOnpPagi8KBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.960834Z"},"content_sha256":"e4276841893447beb94d9c756e78a04f6d764761575ec852ab58578b37cedd3a","schema_version":"1.0","event_id":"sha256:e4276841893447beb94d9c756e78a04f6d764761575ec852ab58578b37cedd3a"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"integrity","payload":{"note":"URL 'https://arxiv.org/abs/2409' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2605.20145","detector":"external_links","evidence":{"url":"https://arxiv.org/abs/2409","final_url":"https://arxiv.org/abs/2409","host_kind":"arxiv","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1779298386.0503588},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T17:33:06.218737Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://arxiv.org/abs/2409","finding_type":"dead_url","evidence_hash":"390e583164b1ff580208fbbaef2f28f52dce4ef151a5b7bdc571e08d2aac8271","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":5341,"payload_sha256":"51e7b5f74e7389440353352588e379dfa12b8da053b40e7bdc72700c8d4bb009","signature_b64":"RbBY+l+/Xi4T8JTCHPPn0DQCJIcCAfPuTnHZC7DO6LTbOxxnPNKAZCYP0chLmBimXicidn+9lkE/86pK0lD/AQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T17:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S0CKixAqgjpNbRvYu3Z9wF28jr3YgU5EGZsBrnIq9nR73llc55GWXgheGoWHk4h1cvRALkn9oKU3WQWtBnKOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.961113Z"},"content_sha256":"6f3130ba0c82827edec5ba2992aa2974b3973413dfc6ddb0789a13875ab4ae95","schema_version":"1.0","event_id":"sha256:6f3130ba0c82827edec5ba2992aa2974b3973413dfc6ddb0789a13875ab4ae95"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"integrity","payload":{"note":"URL 'https://arxiv.org/abs/2409' returned status 404 (Not Found) at last check.","snippet":null,"arxiv_id":"2605.20145","detector":"external_links","evidence":{"url":"https://arxiv.org/abs/2409","final_url":"https://arxiv.org/abs/2409","host_kind":"arxiv","status_code":404,"status_text":"Not Found","verdict_class":"incontrovertible","checked_at_unix":1779255193.5748},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T05:33:13.762922Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://arxiv.org/abs/2409","finding_type":"dead_url","evidence_hash":"89b117cfaf971ba246270cb7bf146507609ba0a40d171bf56246307f659dcb3e","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":4841,"payload_sha256":"81f22c54ced31cd09b05dce1dc38d5dc027b5e26f89b4d4bf5fe3684b768b320","signature_b64":"CxOBwynuOZwQYMa9Gfqiui1OjSAi9fCt/0OesYPRxH5UC1NoLNHuL91Qpn66qDo0Vw/sgJSucsXy3RJf/1TkDA==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T05:37:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qamGUNBoif/zlyLPAucxebpbFetMXTb0AQKjU8exd46R1/A51tsfgaYT9v49/rpqnJ64dL5Zu5s615bMx1Y6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.961397Z"},"content_sha256":"eecfeb312c2620508763232595711b9b8bd665944f29ae7b834313db833ac595","schema_version":"1.0","event_id":"sha256:eecfeb312c2620508763232595711b9b8bd665944f29ae7b834313db833ac595"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"integrity","payload":{"note":"URL 'https://www.sfu.ca/˜ssurjano/' returned status transport error (unexpected: UnicodeEncodeError: 'ascii' codec can't encode character '\\u02dc' in position 6: ordinal not in range(128)) at last check.","snippet":null,"arxiv_id":"2605.20145","detector":"external_links","evidence":{"url":"https://www.sfu.ca/˜ssurjano/","final_url":null,"host_kind":"website","status_code":0,"status_text":"unexpected: UnicodeEncodeError: 'ascii' codec can't encode character '\\u02dc' in position 6: ordinal not in range(128)","verdict_class":"incontrovertible","checked_at_unix":1779255193.2562053},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T05:33:13.762922Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://www.sfu.ca/˜ssurjano/","finding_type":"dead_url","evidence_hash":"30b3ddf77b723c40ff9112330d2f896efc9cc402bf7f2a70bd2ba051b6c9372d","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":4840,"payload_sha256":"df930e657513b12bf23c628734220795d2fcb346b6ff0d14a4282b8c2e20be17","signature_b64":"5AkBWSzvfHdvzy/QGeU6gpCTHCw3Y6iw/v//Qo+6FF6wwwcJ2wzUK6ZsxlndkJmtHOe8OnS03B8LGDd8ElrbBQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T05:37:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zffBq5u2zHNTrCUqlc7fwtmIx9m/sxLLMikOubtPQR+TZwlBVhDGUpvl4LjFHYnCel3f0gZrYV7T8NioKbqVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.961683Z"},"content_sha256":"e84c52616b24b7b6166306324248b921333be57dcbd0e9d96a9e5fcdfdd24ec9","schema_version":"1.0","event_id":"sha256:e84c52616b24b7b6166306324248b921333be57dcbd0e9d96a9e5fcdfdd24ec9"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","target":"integrity","payload":{"note":"URL 'https://arxiv' returned status transport error (transport error: [Errno -3] Temporary failure in name resolution) at last check.","snippet":null,"arxiv_id":"2605.20145","detector":"external_links","evidence":{"url":"https://arxiv","final_url":null,"host_kind":"website","status_code":0,"status_text":"transport error: [Errno -3] Temporary failure in name resolution","verdict_class":"incontrovertible","checked_at_unix":1779255193.2419},"severity":"advisory","ref_index":null,"audited_at":"2026-05-20T05:33:13.762922Z","event_type":"pith.integrity.v1","detected_doi":null,"detector_url":"https://pith.science/pith-integrity-protocol#external_links","external_url":"https://arxiv","finding_type":"dead_url","evidence_hash":"5a537802a0ee657a70a5b7102e13c9c2278a10428da72b641b250f9cdcb96f91","paper_version":1,"verdict_class":"incontrovertible","resolved_title":null,"detector_version":"1.0.0","detected_arxiv_id":null,"integrity_event_id":4839,"payload_sha256":"359788cb25512d9a82bb406b67eaaee90b82b4db7630e0106c755e4028b1961b","signature_b64":"sBr8J+M6wJ9k3jaU9i9CZlwndBGYWk1AhxSfVt9M1dzSG8zF/41/zLHSTT5NKzS07LAzb7yjSp/D7z0Y1VxKBg==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T05:37:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oym6ZB5wT6M+yhmml5DMw4dOlw8RVBOG08M9Z7SafptHtskYXgRL9eJauAMC1BhIuUe4GUq9UUeDK8VsukfNAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:59:06.962075Z"},"content_sha256":"185f79954536152244d287149088c231b26821dff938c4a477b1ccb24ec062ec","schema_version":"1.0","event_id":"sha256:185f79954536152244d287149088c231b26821dff938c4a477b1ccb24ec062ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A7INK2HJRVKL3IUMNCQMLANTPL/bundle.json","state_url":"https://pith.science/pith/A7INK2HJRVKL3IUMNCQMLANTPL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A7INK2HJRVKL3IUMNCQMLANTPL/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":"2026-05-21T11:59:06Z","links":{"resolver":"https://pith.science/pith/A7INK2HJRVKL3IUMNCQMLANTPL","bundle":"https://pith.science/pith/A7INK2HJRVKL3IUMNCQMLANTPL/bundle.json","state":"https://pith.science/pith/A7INK2HJRVKL3IUMNCQMLANTPL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A7INK2HJRVKL3IUMNCQMLANTPL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A7INK2HJRVKL3IUMNCQMLANTPL","merge_version":"pith-open-graph-merge-v1","event_count":8,"valid_event_count":8,"invalid_event_count":0,"equivocation_count":1,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"da9a713673886dc95e3051fd1eb345308ac81a91daf5bc0d485efb768da2bb06","cross_cats_sorted":["cs.LG","stat.ME"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ML","submitted_at":"2026-05-19T17:32:25Z","title_canon_sha256":"5d31b414496c3bc52d767efd6bd0655cc85990f35dbbf98e14bef29265da96f4"},"schema_version":"1.0","source":{"id":"2605.20145","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20145","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20145v1","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20145","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_12","alias_value":"A7INK2HJRVKL","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_16","alias_value":"A7INK2HJRVKL3IUM","created_at":"2026-05-20T02:06:04Z"},{"alias_kind":"pith_short_8","alias_value":"A7INK2HJ","created_at":"2026-05-20T02:06:04Z"}],"graph_snapshots":[{"event_id":"sha256:09d28b81bd02231762628d9dcb7c7e0f81ee361621595829a68921ef85c1e759","target":"graph","created_at":"2026-05-20T02:06:04Z","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/2605.20145/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bayesian optimization (BO) selects evaluation points for expensive black-box objectives using Gaussian process (GP) predictive distributions. Kernel choice and hyperparameter selection can lead to miscalibrated predictive distributions and an inappropriate exploration-exploitation trade-off. For minimization, sampling criteria such as expected improvement (EI) depend on the predictive distribution below the current best value, so lower-tail miscalibration directly affects the sampling decision. This article studies goal-oriented calibration of GP predictive distributions below a low threshold ","authors_text":"Aur\\'elien Pion, Emmanuel Vazquez","cross_cats":["cs.LG","stat.ME"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ML","submitted_at":"2026-05-19T17:32:25Z","title":"Goal-Oriented Lower-Tail Calibration of Gaussian Processes for Bayesian Optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20145","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":"sha256:4eaddbc08a67b3f8b46218361bfd857fd47b59946e22ee7626b4114359543d42","target":"record","created_at":"2026-05-20T02:06:04Z","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":"da9a713673886dc95e3051fd1eb345308ac81a91daf5bc0d485efb768da2bb06","cross_cats_sorted":["cs.LG","stat.ME"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"stat.ML","submitted_at":"2026-05-19T17:32:25Z","title_canon_sha256":"5d31b414496c3bc52d767efd6bd0655cc85990f35dbbf98e14bef29265da96f4"},"schema_version":"1.0","source":{"id":"2605.20145","kind":"arxiv","version":1}},"canonical_sha256":"07d0d568e98d54bda28c68a0c581b37af80860259bb868ce3c4824764b42f1b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07d0d568e98d54bda28c68a0c581b37af80860259bb868ce3c4824764b42f1b2","first_computed_at":"2026-05-20T02:06:04.052399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T02:06:04.052399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UqHc5uvOx77KjdjIixVHmSp1FTl5JfTHs7lhujlEp1Mi4m808vPmqWi0K+VsICQYc5kHKfvSnX826yrhE70+AA==","signature_status":"signed_v1","signed_at":"2026-05-20T02:06:04.053214Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20145","source_kind":"arxiv","source_version":1}}},"equivocations":[{"signer_id":"pith.science","event_type":"integrity_finding","target":"integrity","event_ids":["sha256:185f79954536152244d287149088c231b26821dff938c4a477b1ccb24ec062ec","sha256:6f3130ba0c82827edec5ba2992aa2974b3973413dfc6ddb0789a13875ab4ae95","sha256:e4276841893447beb94d9c756e78a04f6d764761575ec852ab58578b37cedd3a","sha256:e84c52616b24b7b6166306324248b921333be57dcbd0e9d96a9e5fcdfdd24ec9","sha256:eecfeb312c2620508763232595711b9b8bd665944f29ae7b834313db833ac595","sha256:faee47443e0b5395af482bd3f131f786b9f44e9f23f93e3e22dd19079ee2eaaf"]}],"invalid_events":[],"applied_event_ids":["sha256:4eaddbc08a67b3f8b46218361bfd857fd47b59946e22ee7626b4114359543d42","sha256:09d28b81bd02231762628d9dcb7c7e0f81ee361621595829a68921ef85c1e759"],"state_sha256":"c937107a913e03108c4f9d5ceaa3bd0855876fec371debb4093f12c241e9ebdf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hn9ohiMSEsOn5+kQv8LNh65AJ92Y6c7xpgc3XVdoGnBu+0rYFXrVWrSE1UGP5bEMEiRnw+DXdznerei+L5aYBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T11:59:06.965396Z","bundle_sha256":"caea9be20b31d5aa47180795eb026e55ea1c03a1096d7d8add61cb424c363367"}}