{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ORI7FV7YPOLZA5UI3VPOCJ45OB","short_pith_number":"pith:ORI7FV7Y","canonical_record":{"source":{"id":"1111.0576","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-02T17:36:27Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"6467aa949f0f553fa79ea2153224467af3da4be1976a2dd0294daff565563a38","abstract_canon_sha256":"efc5faef85d25a144b2fe94f8ce97d4903aec2930bea8a1a8faf49a881bcf84c"},"schema_version":"1.0"},"canonical_sha256":"7451f2d7f87b97907688dd5ee1279d705611c886e1ac4b0649ee0ce372386d9e","source":{"kind":"arxiv","id":"1111.0576","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0576","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0576v4","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0576","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"pith_short_12","alias_value":"ORI7FV7YPOLZ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"ORI7FV7YPOLZA5UI","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"ORI7FV7Y","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ORI7FV7YPOLZA5UI3VPOCJ45OB","target":"record","payload":{"canonical_record":{"source":{"id":"1111.0576","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-02T17:36:27Z","cross_cats_sorted":["stat.CO"],"title_canon_sha256":"6467aa949f0f553fa79ea2153224467af3da4be1976a2dd0294daff565563a38","abstract_canon_sha256":"efc5faef85d25a144b2fe94f8ce97d4903aec2930bea8a1a8faf49a881bcf84c"},"schema_version":"1.0"},"canonical_sha256":"7451f2d7f87b97907688dd5ee1279d705611c886e1ac4b0649ee0ce372386d9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:26.287604Z","signature_b64":"NxB1YWr+rxcOZ+F8aj5imvmQBUceIkoTVL5wAblsxviKyFQhLxqKG034FtZpgqtmYR3ItKV83bIe5efa1Uj/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7451f2d7f87b97907688dd5ee1279d705611c886e1ac4b0649ee0ce372386d9e","last_reissued_at":"2026-05-18T03:58:26.286819Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:26.286819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.0576","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VnpYkqkx1UDbFid0ruLG5cqaQGQNq6OVJHEd769iHUuAno6wnKygwoKHrxH7Ivu237LKJFnf4qyyHpzOQjpdCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:24:43.180990Z"},"content_sha256":"7d8f5fcb71bf41b19b2cffee94243bdb49d8424d538226e71f3f9d0defb85d56","schema_version":"1.0","event_id":"sha256:7d8f5fcb71bf41b19b2cffee94243bdb49d8424d538226e71f3f9d0defb85d56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ORI7FV7YPOLZA5UI3VPOCJ45OB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On parametric families for sampling binary data with specified mean and correlation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.CO"],"primary_cat":"stat.ME","authors_text":"Christian Sch\\\"afer","submitted_at":"2011-11-02T17:36:27Z","abstract_excerpt":"We discuss a class of binary parametric families with conditional probabilities taking the form of generalized linear models and show that this approach allows to model high-dimensional random binary vectors with arbitrary mean and correlation. We derive the special case of logistic conditionals as an approximation to the Ising-type exponential distribution and provide empirical evidence that this parametric family indeed outperforms competing approaches in terms of feasible correlations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0576","kind":"arxiv","version":4},"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":"2026-05-18T03:58:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lR+iMx9eS7Sc6vgYb8R8Ze9MtLmn+F9Z36BnuSGz0wNxma/9wInAwHfrsZOW1M1+a2NN+YA/aIyKY8CzDHOaCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T09:24:43.181331Z"},"content_sha256":"2153b8b42362039d83d6dda040df9fa4c12dbcd5f61a1ae31b212553b8b7bad3","schema_version":"1.0","event_id":"sha256:2153b8b42362039d83d6dda040df9fa4c12dbcd5f61a1ae31b212553b8b7bad3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB/bundle.json","state_url":"https://pith.science/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB/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":"2026-06-29T09:24:43Z","links":{"resolver":"https://pith.science/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB","bundle":"https://pith.science/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB/bundle.json","state":"https://pith.science/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORI7FV7YPOLZA5UI3VPOCJ45OB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ORI7FV7YPOLZA5UI3VPOCJ45OB","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":"efc5faef85d25a144b2fe94f8ce97d4903aec2930bea8a1a8faf49a881bcf84c","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-02T17:36:27Z","title_canon_sha256":"6467aa949f0f553fa79ea2153224467af3da4be1976a2dd0294daff565563a38"},"schema_version":"1.0","source":{"id":"1111.0576","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0576","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0576v4","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0576","created_at":"2026-05-18T03:58:26Z"},{"alias_kind":"pith_short_12","alias_value":"ORI7FV7YPOLZ","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"ORI7FV7YPOLZA5UI","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"ORI7FV7Y","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:2153b8b42362039d83d6dda040df9fa4c12dbcd5f61a1ae31b212553b8b7bad3","target":"graph","created_at":"2026-05-18T03:58:26Z","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 discuss a class of binary parametric families with conditional probabilities taking the form of generalized linear models and show that this approach allows to model high-dimensional random binary vectors with arbitrary mean and correlation. We derive the special case of logistic conditionals as an approximation to the Ising-type exponential distribution and provide empirical evidence that this parametric family indeed outperforms competing approaches in terms of feasible correlations.","authors_text":"Christian Sch\\\"afer","cross_cats":["stat.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-02T17:36:27Z","title":"On parametric families for sampling binary data with specified mean and correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0576","kind":"arxiv","version":4},"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":"sha256:7d8f5fcb71bf41b19b2cffee94243bdb49d8424d538226e71f3f9d0defb85d56","target":"record","created_at":"2026-05-18T03:58:26Z","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":"efc5faef85d25a144b2fe94f8ce97d4903aec2930bea8a1a8faf49a881bcf84c","cross_cats_sorted":["stat.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2011-11-02T17:36:27Z","title_canon_sha256":"6467aa949f0f553fa79ea2153224467af3da4be1976a2dd0294daff565563a38"},"schema_version":"1.0","source":{"id":"1111.0576","kind":"arxiv","version":4}},"canonical_sha256":"7451f2d7f87b97907688dd5ee1279d705611c886e1ac4b0649ee0ce372386d9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7451f2d7f87b97907688dd5ee1279d705611c886e1ac4b0649ee0ce372386d9e","first_computed_at":"2026-05-18T03:58:26.286819Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:26.286819Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NxB1YWr+rxcOZ+F8aj5imvmQBUceIkoTVL5wAblsxviKyFQhLxqKG034FtZpgqtmYR3ItKV83bIe5efa1Uj/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:26.287604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.0576","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d8f5fcb71bf41b19b2cffee94243bdb49d8424d538226e71f3f9d0defb85d56","sha256:2153b8b42362039d83d6dda040df9fa4c12dbcd5f61a1ae31b212553b8b7bad3"],"state_sha256":"b321e655ba5b1602c2025adbd58b685562f56e90516d5b6afff8237a67168a8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eJj4AlSjEWlEHYl5UOgdz16QSAD3hTkAawwL+Ac9nEBfmN5/xiGppENqQveOjXx0ivus4Diw+2Cd/051gcO+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T09:24:43.183352Z","bundle_sha256":"baaa74d328f068a90606c49f7b09f5879ee34129d8774af479c45ca0c46c96f5"}}