{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6T5YS2DSU2R2YLVEDDCAC2SIWG","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":"ea831c4e8600226f8f952a2b7b56c8c04805145e85b87f7f59d92b6e1d8fb0fe","cross_cats_sorted":["stat.ME"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2026-07-20T01:31:22Z","title_canon_sha256":"d55d2f3cd5e4c84afff2b6f5e3c3040e51f1198b8edc848c40c8cab55edeb723"},"schema_version":"1.0","source":{"id":"2607.17464","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.17464","created_at":"2026-07-21T01:21:34Z"},{"alias_kind":"arxiv_version","alias_value":"2607.17464v1","created_at":"2026-07-21T01:21:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.17464","created_at":"2026-07-21T01:21:34Z"},{"alias_kind":"pith_short_12","alias_value":"6T5YS2DSU2R2","created_at":"2026-07-21T01:21:34Z"},{"alias_kind":"pith_short_16","alias_value":"6T5YS2DSU2R2YLVE","created_at":"2026-07-21T01:21:34Z"},{"alias_kind":"pith_short_8","alias_value":"6T5YS2DS","created_at":"2026-07-21T01:21:34Z"}],"graph_snapshots":[{"event_id":"sha256:3c85032dbc03bc1c32b7d0b1003bb50624ba8830af4305f59641f479716f30c9","target":"graph","created_at":"2026-07-21T01:21:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.17464/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The saddlepoint approximation provides highly accurate approximations to probability density and mass functions using only the corresponding moment generating functions (MGFs). Recent work has increasingly seen the saddlepoint approximation applied to likelihood functions, enabling likelihood-based inference in models where exact likelihoods are intractable. However, existing implementations have largely been developed on a model-by-model basis, and the methodology remains underutilized because of the conceptual and computational challenges of working with MGFs. We introduce a unified framewor","authors_text":"Godrick Oketch, Jesse Goodman, Rachel M. Fewster","cross_cats":["stat.ME"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2026-07-20T01:31:22Z","title":"A general framework for computation and estimation using the saddlepoint approximation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.17464","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:e2a29fadbcec87e3049b9322caf9995f08031bc68eae2c69f8dde61c3b8f578e","target":"record","created_at":"2026-07-21T01:21:34Z","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":"ea831c4e8600226f8f952a2b7b56c8c04805145e85b87f7f59d92b6e1d8fb0fe","cross_cats_sorted":["stat.ME"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.CO","submitted_at":"2026-07-20T01:31:22Z","title_canon_sha256":"d55d2f3cd5e4c84afff2b6f5e3c3040e51f1198b8edc848c40c8cab55edeb723"},"schema_version":"1.0","source":{"id":"2607.17464","kind":"arxiv","version":1}},"canonical_sha256":"f4fb896872a6a3ac2ea418c4016a48b1a014026a3ca96065cc1cce6e4b83b84b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4fb896872a6a3ac2ea418c4016a48b1a014026a3ca96065cc1cce6e4b83b84b","first_computed_at":"2026-07-21T01:21:34.107656Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-21T01:21:34.107656Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eghpA65oRrmdlygsmPDl1gsVOSXKeli3XOoN9nS2y3m2wSUTWhB7iqiPLZgqZtzOVAQQOh/swppe1m4TwIS+BQ==","signature_status":"signed_v1","signed_at":"2026-07-21T01:21:34.108494Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.17464","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2a29fadbcec87e3049b9322caf9995f08031bc68eae2c69f8dde61c3b8f578e","sha256:3c85032dbc03bc1c32b7d0b1003bb50624ba8830af4305f59641f479716f30c9"],"state_sha256":"869852ef9797d17921ceddb7a69ca852c6d8c17caddfdaaf67e8b6a90ef08f50"}