{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:I7KCVUPTCK6EXXQIWMT3NR4ZPP","short_pith_number":"pith:I7KCVUPT","canonical_record":{"source":{"id":"1003.1557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-03-08T05:41:36Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"09011db36e715022e37a69bbeb41143dfa796671b664b3df6d878e4298d2cdd2","abstract_canon_sha256":"3c5c3f62a135a19c183d509628067be6cce1ad2e80f4e85ad800c96da215844e"},"schema_version":"1.0"},"canonical_sha256":"47d42ad1f312bc4bde08b327b6c7997bedb41890e824d2fccff08482d75b0bc6","source":{"kind":"arxiv","id":"1003.1557","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1557","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1557v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1557","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"I7KCVUPTCK6E","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I7KCVUPTCK6EXXQI","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I7KCVUPT","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:I7KCVUPTCK6EXXQIWMT3NR4ZPP","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-03-08T05:41:36Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"09011db36e715022e37a69bbeb41143dfa796671b664b3df6d878e4298d2cdd2","abstract_canon_sha256":"3c5c3f62a135a19c183d509628067be6cce1ad2e80f4e85ad800c96da215844e"},"schema_version":"1.0"},"canonical_sha256":"47d42ad1f312bc4bde08b327b6c7997bedb41890e824d2fccff08482d75b0bc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:38.141944Z","signature_b64":"HAOA3im3nNTcT5nHXxEp1dxWyo8i0tP7mrOSqdQvl2Be9J1gGP0qkSf5gym+JtQCucqGRmbzulYRq9gYJB7mCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47d42ad1f312bc4bde08b327b6c7997bedb41890e824d2fccff08482d75b0bc6","last_reissued_at":"2026-05-18T02:24:38.141188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:38.141188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1557","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xvNrSh8od0O5ZkasOkOuiyqyA706lUddU+DwFzXnUa9oRi0pOpZd8+roUIuBjcKbT5XvpbajqVYXsiYQNmw2DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:39:18.720838Z"},"content_sha256":"293d6a2b63f92783c436ec3f0720dfc70de2407d8adc0a393ced075240a961dd","schema_version":"1.0","event_id":"sha256:293d6a2b63f92783c436ec3f0720dfc70de2407d8adc0a393ced075240a961dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:I7KCVUPTCK6EXXQIWMT3NR4ZPP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimal Designs for Two-Level Factorial Experiments with Binary Response","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"stat.ME","authors_text":"Abhyuday Mandal, Dibyen Majumdar, Jie Yang","submitted_at":"2010-03-08T05:41:36Z","abstract_excerpt":"We consider the problem of obtaining locally D-optimal designs for factorial experiments with qualitative factors at two levels each with binary response. Our focus is primarily on the 2^2 experiment. In this paper, we derive analytic results for some special cases and indicate how to handle the general case. The performance of the uniform design in examined and we show that this design is highly efficient in general. For the general 2^k case we show that the uniform design has a maximin property."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1557","kind":"arxiv","version":2},"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":"2026-05-18T02:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OP2Ge3dEkyZQ0pJpj6adqVRNQoE+lSrMJJ+n+gM0fzl+/lzqrRTqWm2vMUCxIdrOzi3YFSWBoyl6VUWnOFzQDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:39:18.721554Z"},"content_sha256":"8d08f2154a255f9619cb0ca6c748cd3ad74bf07ee217fa23d6bee5dc536c5041","schema_version":"1.0","event_id":"sha256:8d08f2154a255f9619cb0ca6c748cd3ad74bf07ee217fa23d6bee5dc536c5041"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP/bundle.json","state_url":"https://pith.science/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP/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":"2026-06-08T04:39:18Z","links":{"resolver":"https://pith.science/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP","bundle":"https://pith.science/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP/bundle.json","state":"https://pith.science/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I7KCVUPTCK6EXXQIWMT3NR4ZPP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:I7KCVUPTCK6EXXQIWMT3NR4ZPP","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":"3c5c3f62a135a19c183d509628067be6cce1ad2e80f4e85ad800c96da215844e","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-03-08T05:41:36Z","title_canon_sha256":"09011db36e715022e37a69bbeb41143dfa796671b664b3df6d878e4298d2cdd2"},"schema_version":"1.0","source":{"id":"1003.1557","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1557","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1557v2","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1557","created_at":"2026-05-18T02:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"I7KCVUPTCK6E","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"I7KCVUPTCK6EXXQI","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"I7KCVUPT","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:8d08f2154a255f9619cb0ca6c748cd3ad74bf07ee217fa23d6bee5dc536c5041","target":"graph","created_at":"2026-05-18T02:24:38Z","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":"We consider the problem of obtaining locally D-optimal designs for factorial experiments with qualitative factors at two levels each with binary response. Our focus is primarily on the 2^2 experiment. In this paper, we derive analytic results for some special cases and indicate how to handle the general case. The performance of the uniform design in examined and we show that this design is highly efficient in general. For the general 2^k case we show that the uniform design has a maximin property.","authors_text":"Abhyuday Mandal, Dibyen Majumdar, Jie Yang","cross_cats":["math.ST","stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-03-08T05:41:36Z","title":"Optimal Designs for Two-Level Factorial Experiments with Binary Response"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1557","kind":"arxiv","version":2},"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":"sha256:293d6a2b63f92783c436ec3f0720dfc70de2407d8adc0a393ced075240a961dd","target":"record","created_at":"2026-05-18T02:24:38Z","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":"3c5c3f62a135a19c183d509628067be6cce1ad2e80f4e85ad800c96da215844e","cross_cats_sorted":["math.ST","stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2010-03-08T05:41:36Z","title_canon_sha256":"09011db36e715022e37a69bbeb41143dfa796671b664b3df6d878e4298d2cdd2"},"schema_version":"1.0","source":{"id":"1003.1557","kind":"arxiv","version":2}},"canonical_sha256":"47d42ad1f312bc4bde08b327b6c7997bedb41890e824d2fccff08482d75b0bc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47d42ad1f312bc4bde08b327b6c7997bedb41890e824d2fccff08482d75b0bc6","first_computed_at":"2026-05-18T02:24:38.141188Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:38.141188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HAOA3im3nNTcT5nHXxEp1dxWyo8i0tP7mrOSqdQvl2Be9J1gGP0qkSf5gym+JtQCucqGRmbzulYRq9gYJB7mCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:38.141944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1557","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:293d6a2b63f92783c436ec3f0720dfc70de2407d8adc0a393ced075240a961dd","sha256:8d08f2154a255f9619cb0ca6c748cd3ad74bf07ee217fa23d6bee5dc536c5041"],"state_sha256":"ba75974c30c2dda39909e75bafce7b1a7f71681c4e1bff12dd95929e367262e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"agumCKsIyavXjp4wq51DvqKSgoMjTvCZ1TeWxqPi75SdU/Y/MGqw9pZWrCSfx91/lY9MKUduBR5qfdZ3GkVnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:39:18.725155Z","bundle_sha256":"0d8475ccfd64587917d6e01ec8fa53ddc8a58392cce5ac3864354522b38fdcb8"}}