{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:62FMBCETHA3FLUJ6JZWKWDQSTD","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":"ea3bd251e5e4da3f45725501af551ec7f9b6a5755e7e8409d97ec5fae00baeaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-14T20:35:59Z","title_canon_sha256":"f87739b28dbdea4746d910c6a7a62d43e7b44e8511b5195793c8610d38e69019"},"schema_version":"1.0","source":{"id":"1504.03712","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03712","created_at":"2026-05-18T00:36:14Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03712v6","created_at":"2026-05-18T00:36:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03712","created_at":"2026-05-18T00:36:14Z"},{"alias_kind":"pith_short_12","alias_value":"62FMBCETHA3F","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"62FMBCETHA3FLUJ6","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"62FMBCET","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:1fbe6caafa507c580ae9e21516184a2a2e3d9344d6e29dd9a26ff552f115f8dd","target":"graph","created_at":"2026-05-18T00:36:14Z","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":"This paper introduces a simple measure of a concordance pattern among observed outcomes along a network, i.e., the pattern in which adjacent outcomes tend to be more strongly correlated than non-adjacent outcomes. The graph concordance measure can be generally used to quantify the empirical relevance of a network in explaining cross-sectional dependence of the outcomes, and as shown in the paper, can also be used to quantify the extent of homophily under certain conditions. When one observes a single large network, it is nontrivial to make inference about the concordance pattern. Assuming depe","authors_text":"Kyungchul Song","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-14T20:35:59Z","title":"Measuring the Graph Concordance of Locally Dependent Observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03712","kind":"arxiv","version":6},"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:dffaa9bc7c2ed49d4756a64a88267a2b895877987f7dc1fcfafabede34acb86c","target":"record","created_at":"2026-05-18T00:36:14Z","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":"ea3bd251e5e4da3f45725501af551ec7f9b6a5755e7e8409d97ec5fae00baeaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2015-04-14T20:35:59Z","title_canon_sha256":"f87739b28dbdea4746d910c6a7a62d43e7b44e8511b5195793c8610d38e69019"},"schema_version":"1.0","source":{"id":"1504.03712","kind":"arxiv","version":6}},"canonical_sha256":"f68ac08893383655d13e4e6cab0e1298e38c3c434c736c954da732da014e4ab3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f68ac08893383655d13e4e6cab0e1298e38c3c434c736c954da732da014e4ab3","first_computed_at":"2026-05-18T00:36:14.603343Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:36:14.603343Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3LrI/wmeSnhEq02ppRn+65E7SchEoJSIlHOswM5hxyCI6e86ZGRil0AeiZ4I88bkLG6rpXlBBZ4dawDTBTuQDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:36:14.604136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03712","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dffaa9bc7c2ed49d4756a64a88267a2b895877987f7dc1fcfafabede34acb86c","sha256:1fbe6caafa507c580ae9e21516184a2a2e3d9344d6e29dd9a26ff552f115f8dd"],"state_sha256":"3fae690396cd23263520bd9fdfeb01d2f82aea108b83d9b0f8e5fb4474671003"}