{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ESIZ7HOEIP5GANTCEETZ6XQYXG","short_pith_number":"pith:ESIZ7HOE","canonical_record":{"source":{"id":"1810.03819","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-10-09T05:28:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6162f0c4939725c439c1fccd657abe191116666c6f9e04ca4cfcdd56f2fffc8b","abstract_canon_sha256":"16ad2be97d6545317f369d0e36a5d37154e6e1f9fc559c97524656f41d0c84b5"},"schema_version":"1.0"},"canonical_sha256":"24919f9dc443fa60366221279f5e18b9b4a419eb75b641c60d1cbde6c759c1d1","source":{"kind":"arxiv","id":"1810.03819","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03819","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03819v2","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03819","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"ESIZ7HOEIP5G","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ESIZ7HOEIP5GANTC","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ESIZ7HOE","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ESIZ7HOEIP5GANTCEETZ6XQYXG","target":"record","payload":{"canonical_record":{"source":{"id":"1810.03819","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-10-09T05:28:27Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6162f0c4939725c439c1fccd657abe191116666c6f9e04ca4cfcdd56f2fffc8b","abstract_canon_sha256":"16ad2be97d6545317f369d0e36a5d37154e6e1f9fc559c97524656f41d0c84b5"},"schema_version":"1.0"},"canonical_sha256":"24919f9dc443fa60366221279f5e18b9b4a419eb75b641c60d1cbde6c759c1d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:11.430176Z","signature_b64":"7t2na2ujSNbl54532ja3zMxGMzggl2ZdWRwxvfzWbkoENJA6yJBPZjVGewr+TxaCXbqIVKdqeGgYRqm8UG/vBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"24919f9dc443fa60366221279f5e18b9b4a419eb75b641c60d1cbde6c759c1d1","last_reissued_at":"2026-05-17T23:49:11.429601Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:11.429601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.03819","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":"2026-05-17T23:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ygAsRJ6Hju3ZqJOUJakdnVJ/fOrhiKHerSbd8b8FD4zdN3eGpyRmIyL/ARJALfodmpLWzthUa3q3O7OXXZfnAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:15:08.567797Z"},"content_sha256":"99a4f1054d1196ca5ada1a2c33886796379cb5906d2c4fd293a36e16471973a0","schema_version":"1.0","event_id":"sha256:99a4f1054d1196ca5ada1a2c33886796379cb5906d2c4fd293a36e16471973a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ESIZ7HOEIP5GANTCEETZ6XQYXG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sufficient and Necessary Conditions for the Identifiability of the $Q$-matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Gongjun Xu, Yuqi Gu","submitted_at":"2018-10-09T05:28:27Z","abstract_excerpt":"Restricted latent class models (RLCMs) have recently gained prominence in educational assessment, psychiatric evaluation, and medical diagnosis. Different from conventional latent class models, restrictions on the RLCM model parameters are imposed by a design matrix to respect practitioners' scientific assumptions. The design matrix, called $Q$-matrix in the cognitive diagnosis literature, is usually constructed by practitioners and domain experts, yet it is subjective and could be misspecified. To address this problem, researchers have proposed to estimate the $Q$-matrix from data. On the oth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03819","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":"2026-05-17T23:49:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ne2RVA+4dxuciBhBCBm17+TKokXeYqgkjAJ+vnCzj691LrQHYgFDozNXpkOOeeKmXWVEx+I5QzW0IpMiwmlOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:15:08.568141Z"},"content_sha256":"61263e085056caefdcd12f5a64736507aac514f72967bac671a4c279426388c1","schema_version":"1.0","event_id":"sha256:61263e085056caefdcd12f5a64736507aac514f72967bac671a4c279426388c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG/bundle.json","state_url":"https://pith.science/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG/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":"2026-06-01T21:15:08Z","links":{"resolver":"https://pith.science/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG","bundle":"https://pith.science/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG/bundle.json","state":"https://pith.science/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ESIZ7HOEIP5GANTCEETZ6XQYXG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ESIZ7HOEIP5GANTCEETZ6XQYXG","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":"16ad2be97d6545317f369d0e36a5d37154e6e1f9fc559c97524656f41d0c84b5","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-10-09T05:28:27Z","title_canon_sha256":"6162f0c4939725c439c1fccd657abe191116666c6f9e04ca4cfcdd56f2fffc8b"},"schema_version":"1.0","source":{"id":"1810.03819","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03819","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03819v2","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03819","created_at":"2026-05-17T23:49:11Z"},{"alias_kind":"pith_short_12","alias_value":"ESIZ7HOEIP5G","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ESIZ7HOEIP5GANTC","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ESIZ7HOE","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:61263e085056caefdcd12f5a64736507aac514f72967bac671a4c279426388c1","target":"graph","created_at":"2026-05-17T23:49:11Z","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":"Restricted latent class models (RLCMs) have recently gained prominence in educational assessment, psychiatric evaluation, and medical diagnosis. Different from conventional latent class models, restrictions on the RLCM model parameters are imposed by a design matrix to respect practitioners' scientific assumptions. The design matrix, called $Q$-matrix in the cognitive diagnosis literature, is usually constructed by practitioners and domain experts, yet it is subjective and could be misspecified. To address this problem, researchers have proposed to estimate the $Q$-matrix from data. On the oth","authors_text":"Gongjun Xu, Yuqi Gu","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-10-09T05:28:27Z","title":"Sufficient and Necessary Conditions for the Identifiability of the $Q$-matrix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03819","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":"sha256:99a4f1054d1196ca5ada1a2c33886796379cb5906d2c4fd293a36e16471973a0","target":"record","created_at":"2026-05-17T23:49:11Z","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":"16ad2be97d6545317f369d0e36a5d37154e6e1f9fc559c97524656f41d0c84b5","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2018-10-09T05:28:27Z","title_canon_sha256":"6162f0c4939725c439c1fccd657abe191116666c6f9e04ca4cfcdd56f2fffc8b"},"schema_version":"1.0","source":{"id":"1810.03819","kind":"arxiv","version":2}},"canonical_sha256":"24919f9dc443fa60366221279f5e18b9b4a419eb75b641c60d1cbde6c759c1d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24919f9dc443fa60366221279f5e18b9b4a419eb75b641c60d1cbde6c759c1d1","first_computed_at":"2026-05-17T23:49:11.429601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:11.429601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7t2na2ujSNbl54532ja3zMxGMzggl2ZdWRwxvfzWbkoENJA6yJBPZjVGewr+TxaCXbqIVKdqeGgYRqm8UG/vBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:11.430176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03819","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99a4f1054d1196ca5ada1a2c33886796379cb5906d2c4fd293a36e16471973a0","sha256:61263e085056caefdcd12f5a64736507aac514f72967bac671a4c279426388c1"],"state_sha256":"0c36faab60af8d2e6979f6a325a0770e65cf07c506703818ee9bfc759cfe1c89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IvRtl8Yjw1DOLpCHcidFwjUKemvZrJbP4Bi3pjWdZdsy5+mGDcVg4UejuVEsTcqKwhIEUz4MMf+LzLKLsxh2BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:15:08.570055Z","bundle_sha256":"a6d65838e656a2eac56726f0f3dae25b3b892e4e4906709d22a22055e1cd81cf"}}