{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S2TAQEWTNCSD2HVCQM7WG2TVBE","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":"5dbb877a438361a04594bc6de894a97ef19228420e161e1ebed825c5759c148d","cross_cats_sorted":["cond-mat.stat-mech","cs.DS","math.CO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-03-23T16:58:16Z","title_canon_sha256":"354c2134297a4c289edb89ab7787daa7ec664884b90330622a6d3a4c7155e3e2"},"schema_version":"1.0","source":{"id":"1503.06725","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.06725","created_at":"2026-05-18T01:31:40Z"},{"alias_kind":"arxiv_version","alias_value":"1503.06725v2","created_at":"2026-05-18T01:31:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.06725","created_at":"2026-05-18T01:31:40Z"},{"alias_kind":"pith_short_12","alias_value":"S2TAQEWTNCSD","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S2TAQEWTNCSD2HVC","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S2TAQEWT","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:0f58d2b376e1b9c614cd92ac3ac197cef19f06b17cbbe28412bc299b84000754","target":"graph","created_at":"2026-05-18T01:31:40Z","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":"Many real-world networks exhibit correlations between the node degrees. For instance, in social networks nodes tend to connect to nodes of similar degree. Conversely, in biological and technological networks, high-degree nodes tend to be linked with low-degree nodes. Degree correlations also affect the dynamics of processes supported by a network structure, such as the spread of opinions or epidemics. The proper modelling of these systems, i.e., without uncontrolled biases, requires the sampling of networks with a specified set of constraints. We present a solution to the sampling problem when","authors_text":"Charo I. Del Genio, Istv\\'an Mikl\\'os, Kevin E. Bassler, P\\'eter L. Erd\\H{o}s, Zolt\\'an Toroczkai","cross_cats":["cond-mat.stat-mech","cs.DS","math.CO","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-03-23T16:58:16Z","title":"Exact sampling of graphs with prescribed degree correlations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.06725","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":"sha256:77f54cdb2fd44362d8cd4cb1de7895757a3d46870e31ff8b32c3e8e4480a7072","target":"record","created_at":"2026-05-18T01:31:40Z","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":"5dbb877a438361a04594bc6de894a97ef19228420e161e1ebed825c5759c148d","cross_cats_sorted":["cond-mat.stat-mech","cs.DS","math.CO","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2015-03-23T16:58:16Z","title_canon_sha256":"354c2134297a4c289edb89ab7787daa7ec664884b90330622a6d3a4c7155e3e2"},"schema_version":"1.0","source":{"id":"1503.06725","kind":"arxiv","version":2}},"canonical_sha256":"96a60812d368a43d1ea2833f636a750923d36857edaa6b5b03b29f98b9390f96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96a60812d368a43d1ea2833f636a750923d36857edaa6b5b03b29f98b9390f96","first_computed_at":"2026-05-18T01:31:40.077100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:40.077100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NJMQTLItkORAD2Yx0UNtvHfMwMFp2u7oW+X4U8BDgvRxiXz5tvi4tSA7K4AcdvTfFfEEROWXetORxekvyj6QCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:40.077734Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.06725","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77f54cdb2fd44362d8cd4cb1de7895757a3d46870e31ff8b32c3e8e4480a7072","sha256:0f58d2b376e1b9c614cd92ac3ac197cef19f06b17cbbe28412bc299b84000754"],"state_sha256":"70fe42114c3b33f10c414dab33110f1b67aa7b069f30e0a95decc673df8f41d6"}