{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:7Z7HWNG4DPCMPM2NS3XYF6A6JO","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":"dcaf7f63ca962d94492f4407b4ea37ab8a5d3bb6331a678e11f901107c587e5f","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-06T22:06:46Z","title_canon_sha256":"3450b2627a5d1340e2b6eb35e5eb4e522193555ff1524784a5110467b77882e3"},"schema_version":"1.0","source":{"id":"1904.09232","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09232","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09232v1","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09232","created_at":"2026-05-17T23:48:07Z"},{"alias_kind":"pith_short_12","alias_value":"7Z7HWNG4DPCM","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"7Z7HWNG4DPCMPM2N","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"7Z7HWNG4","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:6c9f51e5447fe1ec2dc91fa852ec42f4210bf9cfaa2227a0d4d2af7ad5ad5f41","target":"graph","created_at":"2026-05-17T23:48:07Z","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 gamma model is a generalized linear model for gamma-distributed outcomes. The model is widely applied in psychology, ecology or medicine. In this paper we focus on gamma models having a linear predictor without intercept. For a specific scenario sets of locally D- and A-optimal designs are to be developed. Recently, Gaffke et al. (2018) established a complete class and an essentially complete class of designs for gamma models to obtain locally D-optimal designs. However to extend this approach to gamma model without an intercept term is complicated. To solve that further techniques have to","authors_text":"Osama Idais, Rainer Schwabe","cross_cats":["stat.ME","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-06T22:06:46Z","title":"Analytic solutions for locally optimal designs for gamma models having linear predictor without intercept"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09232","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:fd7d6ff293a0627111f447dc014f42419694413caa2a11c3e88fb0ed76fafb88","target":"record","created_at":"2026-05-17T23:48:07Z","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":"dcaf7f63ca962d94492f4407b4ea37ab8a5d3bb6331a678e11f901107c587e5f","cross_cats_sorted":["stat.ME","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2019-04-06T22:06:46Z","title_canon_sha256":"3450b2627a5d1340e2b6eb35e5eb4e522193555ff1524784a5110467b77882e3"},"schema_version":"1.0","source":{"id":"1904.09232","kind":"arxiv","version":1}},"canonical_sha256":"fe7e7b34dc1bc4c7b34d96ef82f81e4bac4b2524cda62ce0a76717cc0cd71da7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe7e7b34dc1bc4c7b34d96ef82f81e4bac4b2524cda62ce0a76717cc0cd71da7","first_computed_at":"2026-05-17T23:48:07.930358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:07.930358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WhOzdpZ3G+0w0UtRLoYdpqkgdBxhmtDBtw0dNydmEAR9s0SIJCZoxD63bDqYHa+1h79owFlmOrWYm9X0YNHfDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:07.930879Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.09232","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fd7d6ff293a0627111f447dc014f42419694413caa2a11c3e88fb0ed76fafb88","sha256:6c9f51e5447fe1ec2dc91fa852ec42f4210bf9cfaa2227a0d4d2af7ad5ad5f41"],"state_sha256":"8c72503727eba1d1a5b7294cbfc116b645a38a5e992bbeeadf081f53cbf87a05"}