{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:53656YL5Z6UIVVRS5DBE7DSGJL","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":"e691d21ad0d03d981d793237e849d6452966c8cad58395d5ba185cac7b2b38a5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ex","submitted_at":"2026-05-19T16:06:21Z","title_canon_sha256":"bd8edd082306a197b7daabd8eb1160fa43b2f177aee04c4bf5debb53d829217a"},"schema_version":"1.0","source":{"id":"2605.20048","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20048","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20048v1","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20048","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_12","alias_value":"53656YL5Z6UI","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_16","alias_value":"53656YL5Z6UIVVRS","created_at":"2026-05-20T02:06:00Z"},{"alias_kind":"pith_short_8","alias_value":"53656YL5","created_at":"2026-05-20T02:06:00Z"}],"graph_snapshots":[{"event_id":"sha256:d637f81fe2ae6438e8b2fb95a98c768aaedda5700f6e1dd2194b6e60c757537f","target":"graph","created_at":"2026-05-20T02:06:00Z","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/2605.20048/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Template histograms are the foundation of statistical inference at the Large Hadron Collider. The HistFactory likelihood encodes template uncertainty through per-bin Barlow-Beeston gamma factors for Monte Carlo statistical error and through interpolation-based modifiers for systematic shape variations. These two mechanisms scale with the number of bins, which becomes problematic for multi-dimensional analyses and for templates constructed from limited Monte Carlo samples.\n  We propose the use of eigenmode decomposition for efficiently estimating statistical and systematic uncertainties when re","authors_text":"Vincent Alexander Croft","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ex","submitted_at":"2026-05-19T16:06:21Z","title":"Gaussian Process Eigenmodes for Statistical and Systematic Uncertainties in Template Fits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20048","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":"sha256:5907bf4fe2c10aaac2f4e5a0ce23a7b2cb69419de0ea202708a77cb27df5c0e9","target":"record","created_at":"2026-05-20T02:06:00Z","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":"e691d21ad0d03d981d793237e849d6452966c8cad58395d5ba185cac7b2b38a5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ex","submitted_at":"2026-05-19T16:06:21Z","title_canon_sha256":"bd8edd082306a197b7daabd8eb1160fa43b2f177aee04c4bf5debb53d829217a"},"schema_version":"1.0","source":{"id":"2605.20048","kind":"arxiv","version":1}},"canonical_sha256":"eefddf617dcfa88ad632e8c24f8e464ac95682754f205aead82b1ddd39177153","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eefddf617dcfa88ad632e8c24f8e464ac95682754f205aead82b1ddd39177153","first_computed_at":"2026-05-20T02:06:00.124685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T02:06:00.124685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ce7h2OmMYJRxH3i2R88CWatHcgFsh2o8GORLrGRgZ233/eNEvXBz8uEm4/tzO49PmJq+wmP9tczyvVIwL9MtAw==","signature_status":"signed_v1","signed_at":"2026-05-20T02:06:00.125277Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20048","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5907bf4fe2c10aaac2f4e5a0ce23a7b2cb69419de0ea202708a77cb27df5c0e9","sha256:d637f81fe2ae6438e8b2fb95a98c768aaedda5700f6e1dd2194b6e60c757537f"],"state_sha256":"f8d3785f41b5c020b8c9cd8a3d553c5405bff6dd30aee53019828da7d5f26b99"}