{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MCT53AGVRKYNP2OLH2W5SALPOA","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":"d3a8461fb313b5e81dacdb765d4d76203d888f626a482e354ae785afcecdd039","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-07-22T06:31:12Z","title_canon_sha256":"1888567c464dfed31e89f7cf357dbcb0769ae5f45704f02cd259f17a2e595005"},"schema_version":"1.0","source":{"id":"1607.06568","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06568","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06568v2","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06568","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"MCT53AGVRKYN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MCT53AGVRKYNP2OL","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MCT53AGV","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:7923286050e3d56b9f30c6d266183ddd3e688501face11cc175c2693e4ba1c93","target":"graph","created_at":"2026-05-18T00:30:48Z","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 examine the correlations between rings in random network glasses in two dimensions as a function of their separation. Initially, we use the topological separation (measured by the number of intervening rings), but this leads to pseudo-long-range correlations due to a lack of topological charge neutrality in the shells surrounding a central ring. This effect is associated with the non-circular nature of the shells. It is, therefore, necessary to use the geometrical distance between ring centers. Hence we find a generalization of the Aboav-Weaire law out to larger distances, with the correlat","authors_text":"Mahdi Sadjadi, M. F. Thorpe","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-07-22T06:31:12Z","title":"Ring correlations in random networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06568","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":"sha256:7186f484bb1b1a66d605121b8830bcbdd5d54d7790f3485068faf9e675fba799","target":"record","created_at":"2026-05-18T00:30:48Z","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":"d3a8461fb313b5e81dacdb765d4d76203d888f626a482e354ae785afcecdd039","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2016-07-22T06:31:12Z","title_canon_sha256":"1888567c464dfed31e89f7cf357dbcb0769ae5f45704f02cd259f17a2e595005"},"schema_version":"1.0","source":{"id":"1607.06568","kind":"arxiv","version":2}},"canonical_sha256":"60a7dd80d58ab0d7e9cb3eadd9016f700361cb5673ddb89e7ce306709750b6d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60a7dd80d58ab0d7e9cb3eadd9016f700361cb5673ddb89e7ce306709750b6d8","first_computed_at":"2026-05-18T00:30:48.931295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:48.931295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CG3KDW0kBQj1UsKzK6jLvJOLspiLO5n4gljQReUQ/27llV9C4mtChc2MkXzIrMkCfFUx6fQFI7sJANaUEuKWBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:48.931746Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06568","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7186f484bb1b1a66d605121b8830bcbdd5d54d7790f3485068faf9e675fba799","sha256:7923286050e3d56b9f30c6d266183ddd3e688501face11cc175c2693e4ba1c93"],"state_sha256":"ff5e4c0648649b75eb652e55f1894f520d05f49b3c9c2f8b8c496d6374e20911"}