{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XIE5GK4MRENC7VYZPMJ77K46RM","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":"47e499db987f9a25e10854cbc80a08a1cef616884a766077f284c461dd2d284b","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-08-03T17:29:14Z","title_canon_sha256":"50f409af30cfc66450741c500d17eec897723486870944e18d5a0ab590199e3c"},"schema_version":"1.0","source":{"id":"1808.01267","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.01267","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"arxiv_version","alias_value":"1808.01267v1","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.01267","created_at":"2026-05-18T00:08:58Z"},{"alias_kind":"pith_short_12","alias_value":"XIE5GK4MRENC","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XIE5GK4MRENC7VYZ","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XIE5GK4M","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:972f04263d72f4e2cf29347cd48110efe79d7441ee03c3e8fb2b44166a62456f","target":"graph","created_at":"2026-05-18T00:08:58Z","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":"Random graph models are important constructs for data analytic applications as well as pure mathematical developments, as they provide capabilities for network synthesis and principled analysis. Several models have been developed with the aim of faithfully preserving important graph metrics and substructures. With the goal of capturing degree distribution, clustering coefficient, and communities in a single random graph model, we propose a new model to address shortcomings in a progression of network modeling capabilities. The Block Two-Level Erd{\\H{o}}s-R{\\'e}nyi (BTER) model of Seshadhri et ","authors_text":"Erik Lundberg, Omar El-daghar, Robert A. Bridges","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-08-03T17:29:14Z","title":"EGBTER: Capturing degree distribution, clustering coefficients, and community structure in a single random graph model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.01267","kind":"arxiv","version":1},"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":"sha256:4622602f9bd8aac7fd66a6b7eac3d4c103fd356e34edd9718950ae82616dc4cb","target":"record","created_at":"2026-05-18T00:08:58Z","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":"47e499db987f9a25e10854cbc80a08a1cef616884a766077f284c461dd2d284b","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-08-03T17:29:14Z","title_canon_sha256":"50f409af30cfc66450741c500d17eec897723486870944e18d5a0ab590199e3c"},"schema_version":"1.0","source":{"id":"1808.01267","kind":"arxiv","version":1}},"canonical_sha256":"ba09d32b8c891a2fd7197b13ffab9e8b232da7574e0a24642c8e4381e4104228","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba09d32b8c891a2fd7197b13ffab9e8b232da7574e0a24642c8e4381e4104228","first_computed_at":"2026-05-18T00:08:58.429024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:58.429024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mnVnYPYqTAo3Nzvkh8NIU6XTrxHoeKkEDcmRnCc6EymDFKvTlIx1GB6mPhhF+zkdfkUV9dK3SvVUJx7CdOxIBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:58.429643Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.01267","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4622602f9bd8aac7fd66a6b7eac3d4c103fd356e34edd9718950ae82616dc4cb","sha256:972f04263d72f4e2cf29347cd48110efe79d7441ee03c3e8fb2b44166a62456f"],"state_sha256":"858533dc7002e754ce387866625a5adf9ccd2e8999eac8285a09ea0f91c999c6"}