{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XZRZX3BTLWQXQKOVG3BDBIO5ZD","short_pith_number":"pith:XZRZX3BT","canonical_record":{"source":{"id":"2605.21197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-20T13:57:55Z","cross_cats_sorted":[],"title_canon_sha256":"f628673e7ef9e6b656dd60d59ccbddf3c251d2be2d5a826ee611465cecf0e53e","abstract_canon_sha256":"3019ab728db7a2db92b4f2e5eca1a4cc0ff9b88f679c44bbda890b38382c7ead"},"schema_version":"1.0"},"canonical_sha256":"be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5","source":{"kind":"arxiv","id":"2605.21197","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21197","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21197v1","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21197","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"pith_short_12","alias_value":"XZRZX3BTLWQX","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"pith_short_16","alias_value":"XZRZX3BTLWQXQKOV","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"pith_short_8","alias_value":"XZRZX3BT","created_at":"2026-05-21T01:05:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XZRZX3BTLWQXQKOVG3BDBIO5ZD","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21197","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-20T13:57:55Z","cross_cats_sorted":[],"title_canon_sha256":"f628673e7ef9e6b656dd60d59ccbddf3c251d2be2d5a826ee611465cecf0e53e","abstract_canon_sha256":"3019ab728db7a2db92b4f2e5eca1a4cc0ff9b88f679c44bbda890b38382c7ead"},"schema_version":"1.0"},"canonical_sha256":"be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:42.991048Z","signature_b64":"3N/qRdIVMZTDO1jk+LhT+08J3l1xW1meeErwM+yA2vxNh3UixdqNttGT5VevjiO5g/o1ijdPKNB/+clpjiKjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5","last_reissued_at":"2026-05-21T01:05:42.990254Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:42.990254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21197","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":"2026-05-21T01:05:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wrJspvsI75VYaabdNGvcyhH1uZIprarzgU7VQP+ZcElET3KE3VrwVQoTaeET2sRmGFV6A0k6Nw9kjuOGeHWhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:15:05.235270Z"},"content_sha256":"b2634b8ed8961a9efba310da504252ec069e09cd98219f3297a5479380b27695","schema_version":"1.0","event_id":"sha256:b2634b8ed8961a9efba310da504252ec069e09cd98219f3297a5479380b27695"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XZRZX3BTLWQXQKOVG3BDBIO5ZD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Laplace Approximations for Mixed-Effects and Gaussian Process Quantile Regression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Andrea Nava, Fabio Sigrist","submitted_at":"2026-05-20T13:57:55Z","abstract_excerpt":"Laplace approximations are a standard tool for computationally efficient inference in latent Gaussian models, but they fail for quantile regression with the asymmetric Laplace likelihood because the observed Hessian vanishes almost everywhere. We show that this obstacle can be overcome without smoothing the likelihood: the relevant local curvature is given not by the observed Hessian, but by the Fisher information when the model is correctly specified and by the population curvature of the expected loss under misspecification. On this basis, we develop a Laplace approximation framework for qua"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21197","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/2605.21197/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":"2026-05-21T01:05:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IIf2fh/t73gxdOSgkE8sbVv9aMIHIrrdEyOWhVFGsVPEn1sQBAwoi0sOA3Biyooi7BI90x0m5OC+fdl9zyqBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:15:05.236036Z"},"content_sha256":"7acc95e2fcf8bdde7cb51dfb987cc383895c8797ec82f566684656081b348395","schema_version":"1.0","event_id":"sha256:7acc95e2fcf8bdde7cb51dfb987cc383895c8797ec82f566684656081b348395"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD/bundle.json","state_url":"https://pith.science/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD/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":"2026-05-26T04:15:05Z","links":{"resolver":"https://pith.science/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD","bundle":"https://pith.science/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD/bundle.json","state":"https://pith.science/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZRZX3BTLWQXQKOVG3BDBIO5ZD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XZRZX3BTLWQXQKOVG3BDBIO5ZD","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":"3019ab728db7a2db92b4f2e5eca1a4cc0ff9b88f679c44bbda890b38382c7ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-20T13:57:55Z","title_canon_sha256":"f628673e7ef9e6b656dd60d59ccbddf3c251d2be2d5a826ee611465cecf0e53e"},"schema_version":"1.0","source":{"id":"2605.21197","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21197","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21197v1","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21197","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"pith_short_12","alias_value":"XZRZX3BTLWQX","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"pith_short_16","alias_value":"XZRZX3BTLWQXQKOV","created_at":"2026-05-21T01:05:42Z"},{"alias_kind":"pith_short_8","alias_value":"XZRZX3BT","created_at":"2026-05-21T01:05:42Z"}],"graph_snapshots":[{"event_id":"sha256:7acc95e2fcf8bdde7cb51dfb987cc383895c8797ec82f566684656081b348395","target":"graph","created_at":"2026-05-21T01:05:42Z","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/2605.21197/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Laplace approximations are a standard tool for computationally efficient inference in latent Gaussian models, but they fail for quantile regression with the asymmetric Laplace likelihood because the observed Hessian vanishes almost everywhere. We show that this obstacle can be overcome without smoothing the likelihood: the relevant local curvature is given not by the observed Hessian, but by the Fisher information when the model is correctly specified and by the population curvature of the expected loss under misspecification. On this basis, we develop a Laplace approximation framework for qua","authors_text":"Andrea Nava, Fabio Sigrist","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-20T13:57:55Z","title":"Laplace Approximations for Mixed-Effects and Gaussian Process Quantile Regression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21197","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:b2634b8ed8961a9efba310da504252ec069e09cd98219f3297a5479380b27695","target":"record","created_at":"2026-05-21T01:05:42Z","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":"3019ab728db7a2db92b4f2e5eca1a4cc0ff9b88f679c44bbda890b38382c7ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2026-05-20T13:57:55Z","title_canon_sha256":"f628673e7ef9e6b656dd60d59ccbddf3c251d2be2d5a826ee611465cecf0e53e"},"schema_version":"1.0","source":{"id":"2605.21197","kind":"arxiv","version":1}},"canonical_sha256":"be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be639bec335da17829d536c230a1ddc8d3df940b1c26cee36b3a4d6383e19fd5","first_computed_at":"2026-05-21T01:05:42.990254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:42.990254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3N/qRdIVMZTDO1jk+LhT+08J3l1xW1meeErwM+yA2vxNh3UixdqNttGT5VevjiO5g/o1ijdPKNB/+clpjiKjCg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:42.991048Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21197","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2634b8ed8961a9efba310da504252ec069e09cd98219f3297a5479380b27695","sha256:7acc95e2fcf8bdde7cb51dfb987cc383895c8797ec82f566684656081b348395"],"state_sha256":"36328fd0a5a3056cabb7c044cc8c8089098e13713bccec3fa245f7eeda6872d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hY53gy4Paytom8DSCePOKq9mXilMZHlXK4WiX2hyUjb2oDQw81ph/XJ7Y2FVX9pvz7fxaEiVPJ1yvcgrmdxaBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:15:05.240054Z","bundle_sha256":"ac732cf64e4effe0edf0c722edf1cb71330845c980879a6e50697fb079f8b380"}}