{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KA4EI6XMGJUJ3R53EHARNMFA2S","short_pith_number":"pith:KA4EI6XM","canonical_record":{"source":{"id":"1705.08074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-05-23T04:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"b3a43b5935ba0a1064daf39d40ce075d8a78190997b8340d91344afd6dc2540e","abstract_canon_sha256":"aa63a57963c7a575e3a1f84efc7e6c59ac5335eed5ec41aee58d79cf6232ce10"},"schema_version":"1.0"},"canonical_sha256":"5038447aec32689dc7bb21c116b0a0d4bdea56a69c4fbe783ce9c8c30b50c05f","source":{"kind":"arxiv","id":"1705.08074","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08074","created_at":"2026-05-18T00:43:49Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08074v1","created_at":"2026-05-18T00:43:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08074","created_at":"2026-05-18T00:43:49Z"},{"alias_kind":"pith_short_12","alias_value":"KA4EI6XMGJUJ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KA4EI6XMGJUJ3R53","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KA4EI6XM","created_at":"2026-05-18T12:31:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KA4EI6XMGJUJ3R53EHARNMFA2S","target":"record","payload":{"canonical_record":{"source":{"id":"1705.08074","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-05-23T04:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"b3a43b5935ba0a1064daf39d40ce075d8a78190997b8340d91344afd6dc2540e","abstract_canon_sha256":"aa63a57963c7a575e3a1f84efc7e6c59ac5335eed5ec41aee58d79cf6232ce10"},"schema_version":"1.0"},"canonical_sha256":"5038447aec32689dc7bb21c116b0a0d4bdea56a69c4fbe783ce9c8c30b50c05f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:49.404012Z","signature_b64":"O4/KiZ2Z05Ic9xLYyZM7DzMZzToF28JCvLMnMsxZ4hM5z0qcg3k4Ra+papqziqM9aAQJhvI5JfVbn0vV5+PEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5038447aec32689dc7bb21c116b0a0d4bdea56a69c4fbe783ce9c8c30b50c05f","last_reissued_at":"2026-05-18T00:43:49.403390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:49.403390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.08074","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":"2026-05-18T00:43:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Szyb6EEBginMSyTtVXwO8VMKEQ4aa/kUAbFzp3MFufIQVPabvkUfSZDHsrcSa1zJf4rEocUpyzojpY40cN7DAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:29:31.964823Z"},"content_sha256":"681475065fd5420f60494ad452cc5ccc7c49f4ae4149a2a908b55458001c05cd","schema_version":"1.0","event_id":"sha256:681475065fd5420f60494ad452cc5ccc7c49f4ae4149a2a908b55458001c05cd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KA4EI6XMGJUJ3R53EHARNMFA2S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universally Optimal Designs for the Two-dimensional Interference Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"A. S. Hedayat, Heng Xu, Wei Zheng","submitted_at":"2017-05-23T04:41:05Z","abstract_excerpt":"There have been some major advances in the theory of optimal designs for interference models. However, the majority of them focus on one-dimensional layout of the block and the study for two-dimensional interference model is quite limited partly due to technical difficulties. This paper tries to fill this gap. Specifically, it systematically characterizes all possible universally optimal designs simultaneously. Computational issues are also addressed with theoretical backup."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08074","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":"2026-05-18T00:43:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1X9WPbn9da/rrUrEuwkNER5v2zUsavdJEjeu4wbvHzhB/4BxfjSb2HPxsOeon5qemqS/hedIQpusOajvjzLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T17:29:31.965161Z"},"content_sha256":"cfacc457834f7ade2d933f4c40e5b2e52d79e3af9ed02f3000818ced9917b16c","schema_version":"1.0","event_id":"sha256:cfacc457834f7ade2d933f4c40e5b2e52d79e3af9ed02f3000818ced9917b16c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KA4EI6XMGJUJ3R53EHARNMFA2S/bundle.json","state_url":"https://pith.science/pith/KA4EI6XMGJUJ3R53EHARNMFA2S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KA4EI6XMGJUJ3R53EHARNMFA2S/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":"2026-07-03T17:29:31Z","links":{"resolver":"https://pith.science/pith/KA4EI6XMGJUJ3R53EHARNMFA2S","bundle":"https://pith.science/pith/KA4EI6XMGJUJ3R53EHARNMFA2S/bundle.json","state":"https://pith.science/pith/KA4EI6XMGJUJ3R53EHARNMFA2S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KA4EI6XMGJUJ3R53EHARNMFA2S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KA4EI6XMGJUJ3R53EHARNMFA2S","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":"aa63a57963c7a575e3a1f84efc7e6c59ac5335eed5ec41aee58d79cf6232ce10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-05-23T04:41:05Z","title_canon_sha256":"b3a43b5935ba0a1064daf39d40ce075d8a78190997b8340d91344afd6dc2540e"},"schema_version":"1.0","source":{"id":"1705.08074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.08074","created_at":"2026-05-18T00:43:49Z"},{"alias_kind":"arxiv_version","alias_value":"1705.08074v1","created_at":"2026-05-18T00:43:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.08074","created_at":"2026-05-18T00:43:49Z"},{"alias_kind":"pith_short_12","alias_value":"KA4EI6XMGJUJ","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KA4EI6XMGJUJ3R53","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KA4EI6XM","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:cfacc457834f7ade2d933f4c40e5b2e52d79e3af9ed02f3000818ced9917b16c","target":"graph","created_at":"2026-05-18T00:43:49Z","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":"There have been some major advances in the theory of optimal designs for interference models. However, the majority of them focus on one-dimensional layout of the block and the study for two-dimensional interference model is quite limited partly due to technical difficulties. This paper tries to fill this gap. Specifically, it systematically characterizes all possible universally optimal designs simultaneously. Computational issues are also addressed with theoretical backup.","authors_text":"A. S. Hedayat, Heng Xu, Wei Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-05-23T04:41:05Z","title":"Universally Optimal Designs for the Two-dimensional Interference Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.08074","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":"sha256:681475065fd5420f60494ad452cc5ccc7c49f4ae4149a2a908b55458001c05cd","target":"record","created_at":"2026-05-18T00:43:49Z","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":"aa63a57963c7a575e3a1f84efc7e6c59ac5335eed5ec41aee58d79cf6232ce10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2017-05-23T04:41:05Z","title_canon_sha256":"b3a43b5935ba0a1064daf39d40ce075d8a78190997b8340d91344afd6dc2540e"},"schema_version":"1.0","source":{"id":"1705.08074","kind":"arxiv","version":1}},"canonical_sha256":"5038447aec32689dc7bb21c116b0a0d4bdea56a69c4fbe783ce9c8c30b50c05f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5038447aec32689dc7bb21c116b0a0d4bdea56a69c4fbe783ce9c8c30b50c05f","first_computed_at":"2026-05-18T00:43:49.403390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:49.403390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O4/KiZ2Z05Ic9xLYyZM7DzMZzToF28JCvLMnMsxZ4hM5z0qcg3k4Ra+papqziqM9aAQJhvI5JfVbn0vV5+PEDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:49.404012Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.08074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:681475065fd5420f60494ad452cc5ccc7c49f4ae4149a2a908b55458001c05cd","sha256:cfacc457834f7ade2d933f4c40e5b2e52d79e3af9ed02f3000818ced9917b16c"],"state_sha256":"5ed2a629b8b35f5b231471bd979e906b099ffea79cec35d795377a2a14b9f276"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oCI0R8nBjxNilQGuuiOTyfH03iY+CFw6drP6t9xTmspdUtGLyCTIsR4wkrz8CNnExvuRHZXXmNtMOr4C+OcDAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T17:29:31.967064Z","bundle_sha256":"b2b586dae57cfb2af419979710d916c35feff249aa3f4e345b0c170d9e264226"}}