{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JRT4R2HK6IRDOXDA6R577E465Z","short_pith_number":"pith:JRT4R2HK","canonical_record":{"source":{"id":"1307.1996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-07-08T09:23:56Z","cross_cats_sorted":[],"title_canon_sha256":"f40cdd1219e368e1c9b8f370033f1df0c54fbf99ab86b1645ec3b02a07030554","abstract_canon_sha256":"a3c5f0ed7dc06e0b3e6197312eac1b077acbb798ac42ce323b4e50b443ae656a"},"schema_version":"1.0"},"canonical_sha256":"4c67c8e8eaf222375c60f47bff939eee5282096f09dfaf6a9f74b0aabecaee00","source":{"kind":"arxiv","id":"1307.1996","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1996","created_at":"2026-05-18T03:19:02Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1996v1","created_at":"2026-05-18T03:19:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1996","created_at":"2026-05-18T03:19:02Z"},{"alias_kind":"pith_short_12","alias_value":"JRT4R2HK6IRD","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JRT4R2HK6IRDOXDA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JRT4R2HK","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JRT4R2HK6IRDOXDA6R577E465Z","target":"record","payload":{"canonical_record":{"source":{"id":"1307.1996","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-07-08T09:23:56Z","cross_cats_sorted":[],"title_canon_sha256":"f40cdd1219e368e1c9b8f370033f1df0c54fbf99ab86b1645ec3b02a07030554","abstract_canon_sha256":"a3c5f0ed7dc06e0b3e6197312eac1b077acbb798ac42ce323b4e50b443ae656a"},"schema_version":"1.0"},"canonical_sha256":"4c67c8e8eaf222375c60f47bff939eee5282096f09dfaf6a9f74b0aabecaee00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:19:02.835902Z","signature_b64":"uNt4BVcnUtUWfbZ0CcuraWJfV6GYQdoyFmIsUFdqd0YhMP4RIGqbxXTchy/nem8GejJfAros9RBi9K9+BgQfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c67c8e8eaf222375c60f47bff939eee5282096f09dfaf6a9f74b0aabecaee00","last_reissued_at":"2026-05-18T03:19:02.835243Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:19:02.835243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.1996","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":"2026-05-18T03:19:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pwipVkxWe/8WbKG/DtOx5BbuOaJdqGpvClaVJr6HlWW2h8BD8vcEMh3pSEEuI83DrVFD2kgYaRNQZRJfeFYaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:11:15.675547Z"},"content_sha256":"289d3cdb4419918f5cd7402ce6a5930a4177125dbbceb654174da2d1aa8c88b2","schema_version":"1.0","event_id":"sha256:289d3cdb4419918f5cd7402ce6a5930a4177125dbbceb654174da2d1aa8c88b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JRT4R2HK6IRDOXDA6R577E465Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Equitable $(d,m)$-edge designs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Jean-Marc F\\'edou, Maria Jo\\~ao Rendas","submitted_at":"2013-07-08T09:23:56Z","abstract_excerpt":"The paper addresses design of experiments for classifying the input factors of a multi-variate function into negligible, linear and other (non-linear/interaction) factors. We give constructive procedures for completing the definition of the clustered designs proposed Morris 1991, that become defined for arbitrary number of input factors and desired clusters' multiplicity. Our work is based on a representation of subgraphs of the hyper-cube by polynomials that allows the formal verification of the designs' properties. Ability to generate these designs in a systematic manner opens new perspectiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1996","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":"2026-05-18T03:19:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SBKgcpRrgNL1KMhkyx03ALSs1/YAsbLldmUaeUv7mXU4u8NoFdsPqn7fFkPT/3bB+tpHK95H0sHKT90ujyldAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:11:15.676272Z"},"content_sha256":"27dc7fea79703f197cd507c553b095dff8dc66b8f2ecdeb491e0877993f04c22","schema_version":"1.0","event_id":"sha256:27dc7fea79703f197cd507c553b095dff8dc66b8f2ecdeb491e0877993f04c22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JRT4R2HK6IRDOXDA6R577E465Z/bundle.json","state_url":"https://pith.science/pith/JRT4R2HK6IRDOXDA6R577E465Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JRT4R2HK6IRDOXDA6R577E465Z/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":"2026-05-27T22:11:15Z","links":{"resolver":"https://pith.science/pith/JRT4R2HK6IRDOXDA6R577E465Z","bundle":"https://pith.science/pith/JRT4R2HK6IRDOXDA6R577E465Z/bundle.json","state":"https://pith.science/pith/JRT4R2HK6IRDOXDA6R577E465Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JRT4R2HK6IRDOXDA6R577E465Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JRT4R2HK6IRDOXDA6R577E465Z","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":"a3c5f0ed7dc06e0b3e6197312eac1b077acbb798ac42ce323b4e50b443ae656a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-07-08T09:23:56Z","title_canon_sha256":"f40cdd1219e368e1c9b8f370033f1df0c54fbf99ab86b1645ec3b02a07030554"},"schema_version":"1.0","source":{"id":"1307.1996","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.1996","created_at":"2026-05-18T03:19:02Z"},{"alias_kind":"arxiv_version","alias_value":"1307.1996v1","created_at":"2026-05-18T03:19:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.1996","created_at":"2026-05-18T03:19:02Z"},{"alias_kind":"pith_short_12","alias_value":"JRT4R2HK6IRD","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JRT4R2HK6IRDOXDA","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JRT4R2HK","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:27dc7fea79703f197cd507c553b095dff8dc66b8f2ecdeb491e0877993f04c22","target":"graph","created_at":"2026-05-18T03:19:02Z","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 paper addresses design of experiments for classifying the input factors of a multi-variate function into negligible, linear and other (non-linear/interaction) factors. We give constructive procedures for completing the definition of the clustered designs proposed Morris 1991, that become defined for arbitrary number of input factors and desired clusters' multiplicity. Our work is based on a representation of subgraphs of the hyper-cube by polynomials that allows the formal verification of the designs' properties. Ability to generate these designs in a systematic manner opens new perspectiv","authors_text":"Jean-Marc F\\'edou, Maria Jo\\~ao Rendas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-07-08T09:23:56Z","title":"Equitable $(d,m)$-edge designs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.1996","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":"sha256:289d3cdb4419918f5cd7402ce6a5930a4177125dbbceb654174da2d1aa8c88b2","target":"record","created_at":"2026-05-18T03:19:02Z","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":"a3c5f0ed7dc06e0b3e6197312eac1b077acbb798ac42ce323b4e50b443ae656a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2013-07-08T09:23:56Z","title_canon_sha256":"f40cdd1219e368e1c9b8f370033f1df0c54fbf99ab86b1645ec3b02a07030554"},"schema_version":"1.0","source":{"id":"1307.1996","kind":"arxiv","version":1}},"canonical_sha256":"4c67c8e8eaf222375c60f47bff939eee5282096f09dfaf6a9f74b0aabecaee00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c67c8e8eaf222375c60f47bff939eee5282096f09dfaf6a9f74b0aabecaee00","first_computed_at":"2026-05-18T03:19:02.835243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:19:02.835243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uNt4BVcnUtUWfbZ0CcuraWJfV6GYQdoyFmIsUFdqd0YhMP4RIGqbxXTchy/nem8GejJfAros9RBi9K9+BgQfAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:19:02.835902Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.1996","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:289d3cdb4419918f5cd7402ce6a5930a4177125dbbceb654174da2d1aa8c88b2","sha256:27dc7fea79703f197cd507c553b095dff8dc66b8f2ecdeb491e0877993f04c22"],"state_sha256":"41aad06742bb670ed3d1715b02d9ddbe7e360de401e0a024bf0b673b586c75de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"itotUBA3C85D/Pk0C4cdEDkDv2Ck4xVIXqunwB/3RuSI43Gwb0T317XnajmkJIOrB+DnFMYOfsFFZ6nkNegIBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:11:15.680114Z","bundle_sha256":"001878432e5a7dfb2f135ab83e0cd94b5f8ce7d35307300d8366d86bd1c39540"}}