{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4E3SYITG32Y5UT46XF7Z3ORSZN","short_pith_number":"pith:4E3SYITG","canonical_record":{"source":{"id":"1412.4355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-12-14T13:28:34Z","cross_cats_sorted":[],"title_canon_sha256":"9664a09330af0dfa1366cb65f46330676c1543873058daf9051e9bfe08886f36","abstract_canon_sha256":"33d03c6847303c40b96282939640944ec0a6c049e3208e5f0a74984ca51c89eb"},"schema_version":"1.0"},"canonical_sha256":"e1372c2266deb1da4f9eb97f9dba32cb710a58a14f13a0b814a12b61e07823c0","source":{"kind":"arxiv","id":"1412.4355","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4355","created_at":"2026-05-18T01:32:37Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4355v1","created_at":"2026-05-18T01:32:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4355","created_at":"2026-05-18T01:32:37Z"},{"alias_kind":"pith_short_12","alias_value":"4E3SYITG32Y5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4E3SYITG32Y5UT46","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4E3SYITG","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4E3SYITG32Y5UT46XF7Z3ORSZN","target":"record","payload":{"canonical_record":{"source":{"id":"1412.4355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-12-14T13:28:34Z","cross_cats_sorted":[],"title_canon_sha256":"9664a09330af0dfa1366cb65f46330676c1543873058daf9051e9bfe08886f36","abstract_canon_sha256":"33d03c6847303c40b96282939640944ec0a6c049e3208e5f0a74984ca51c89eb"},"schema_version":"1.0"},"canonical_sha256":"e1372c2266deb1da4f9eb97f9dba32cb710a58a14f13a0b814a12b61e07823c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:37.517391Z","signature_b64":"l2kYsl789qjBvrqHkpaT48LWN2+S/6E65tmaFoQr3Y19TfJGtxJgRXICs6CF76VlF8bsukXLGz2cDzWnxbLXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1372c2266deb1da4f9eb97f9dba32cb710a58a14f13a0b814a12b61e07823c0","last_reissued_at":"2026-05-18T01:32:37.516881Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:37.516881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.4355","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":"2026-05-18T01:32:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Arhl4MWoqnXTuGSyJKZ7h+cCX4bE91uaj0yHiExNqR2zIXrh/wAggGxauKuGy1FtuuVQaxGxpnY1SEi2F2Z6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T01:24:42.729689Z"},"content_sha256":"87712ac3139e126e9182dbda2a09673e568a34a6564a6b0e0fe6e869ff72374b","schema_version":"1.0","event_id":"sha256:87712ac3139e126e9182dbda2a09673e568a34a6564a6b0e0fe6e869ff72374b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4E3SYITG32Y5UT46XF7Z3ORSZN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Designs for generalized linear models with random block effects via information matrix approximations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"David C. Woods, Timothy W. Waite","submitted_at":"2014-12-14T13:28:34Z","abstract_excerpt":"The selection of optimal designs for generalized linear mixed models is complicated by the fact that the Fisher information matrix, on which most optimality criteria depend, is computationally expensive to evaluate. Our focus is on the design of experiments for likelihood estimation of parameters in the conditional model. We provide two novel approximations that substantially reduce the computational cost of evaluating the information matrix by complete enumeration of response outcomes, or Monte Carlo approximations thereof: (i) an asymptotic approximation which is accurate when there is stron"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4355","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":""},"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":"2026-05-18T01:32:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RnjHU2uoKRGXeD+qhfaBZoZzpIBbwfDLbYdt7ccf+LmslJFzxBqxrF9dBYdsJLyE3GWe3jq+3YHJsGxrKvN6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T01:24:42.730027Z"},"content_sha256":"4dee54858421126b21ee346d457c5760d7521ee63117ef76476da7d81165fb0f","schema_version":"1.0","event_id":"sha256:4dee54858421126b21ee346d457c5760d7521ee63117ef76476da7d81165fb0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4E3SYITG32Y5UT46XF7Z3ORSZN/bundle.json","state_url":"https://pith.science/pith/4E3SYITG32Y5UT46XF7Z3ORSZN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4E3SYITG32Y5UT46XF7Z3ORSZN/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":"2026-07-01T01:24:42Z","links":{"resolver":"https://pith.science/pith/4E3SYITG32Y5UT46XF7Z3ORSZN","bundle":"https://pith.science/pith/4E3SYITG32Y5UT46XF7Z3ORSZN/bundle.json","state":"https://pith.science/pith/4E3SYITG32Y5UT46XF7Z3ORSZN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4E3SYITG32Y5UT46XF7Z3ORSZN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4E3SYITG32Y5UT46XF7Z3ORSZN","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":"33d03c6847303c40b96282939640944ec0a6c049e3208e5f0a74984ca51c89eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-12-14T13:28:34Z","title_canon_sha256":"9664a09330af0dfa1366cb65f46330676c1543873058daf9051e9bfe08886f36"},"schema_version":"1.0","source":{"id":"1412.4355","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.4355","created_at":"2026-05-18T01:32:37Z"},{"alias_kind":"arxiv_version","alias_value":"1412.4355v1","created_at":"2026-05-18T01:32:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.4355","created_at":"2026-05-18T01:32:37Z"},{"alias_kind":"pith_short_12","alias_value":"4E3SYITG32Y5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4E3SYITG32Y5UT46","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4E3SYITG","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:4dee54858421126b21ee346d457c5760d7521ee63117ef76476da7d81165fb0f","target":"graph","created_at":"2026-05-18T01:32:37Z","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"},"paper":{"abstract_excerpt":"The selection of optimal designs for generalized linear mixed models is complicated by the fact that the Fisher information matrix, on which most optimality criteria depend, is computationally expensive to evaluate. Our focus is on the design of experiments for likelihood estimation of parameters in the conditional model. We provide two novel approximations that substantially reduce the computational cost of evaluating the information matrix by complete enumeration of response outcomes, or Monte Carlo approximations thereof: (i) an asymptotic approximation which is accurate when there is stron","authors_text":"David C. Woods, Timothy W. Waite","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-12-14T13:28:34Z","title":"Designs for generalized linear models with random block effects via information matrix approximations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.4355","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":"sha256:87712ac3139e126e9182dbda2a09673e568a34a6564a6b0e0fe6e869ff72374b","target":"record","created_at":"2026-05-18T01:32:37Z","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":"33d03c6847303c40b96282939640944ec0a6c049e3208e5f0a74984ca51c89eb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2014-12-14T13:28:34Z","title_canon_sha256":"9664a09330af0dfa1366cb65f46330676c1543873058daf9051e9bfe08886f36"},"schema_version":"1.0","source":{"id":"1412.4355","kind":"arxiv","version":1}},"canonical_sha256":"e1372c2266deb1da4f9eb97f9dba32cb710a58a14f13a0b814a12b61e07823c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1372c2266deb1da4f9eb97f9dba32cb710a58a14f13a0b814a12b61e07823c0","first_computed_at":"2026-05-18T01:32:37.516881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:37.516881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l2kYsl789qjBvrqHkpaT48LWN2+S/6E65tmaFoQr3Y19TfJGtxJgRXICs6CF76VlF8bsukXLGz2cDzWnxbLXBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:37.517391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.4355","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:87712ac3139e126e9182dbda2a09673e568a34a6564a6b0e0fe6e869ff72374b","sha256:4dee54858421126b21ee346d457c5760d7521ee63117ef76476da7d81165fb0f"],"state_sha256":"66b252520e7cb935cd517eb4c2b0d8682075d52feb4ac78ebc35aabc0838cb92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s3DS0hFFApDY3LM4MtEGd8dBBeUDcVp8NadkcPX6xOUPJYqA9ICWSgZFICQTmdISdBwWQEpO+tapVNykiRonCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T01:24:42.731909Z","bundle_sha256":"038d2de5910b753a29a84664841f4fec24819c4f914caa3f6e9e960037f540bd"}}