{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:HVWYY5TVFDNELSLKKE2M6BGX56","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":"0dbea3aa1d19705fdcfe6e07c3d6972c653b8e81789d52c815f48f050d6e9d33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-10-14T19:35:53Z","title_canon_sha256":"740f8025180f78046ded6452b97353010e53a593ca421f5eddcddd8a0b9b89c0"},"schema_version":"1.0","source":{"id":"1510.04249","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.04249","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"1510.04249v6","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.04249","created_at":"2026-05-18T00:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"HVWYY5TVFDNE","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"HVWYY5TVFDNELSLK","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"HVWYY5TV","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:a108f4b7f8e27c91596ea317de0ac5539a4e3d87d089c48df92cdfe64fcfcc08","target":"graph","created_at":"2026-05-18T00:16:56Z","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":"In this paper, the class of random irregular block-hierarchical networks is defined and algorithms for generation and calculation of network properties are described. The algorithms presented for this class of networks are more efficient than known algorithms both in computation time and memory usage and can be used to analyze topological properties of such networks. The algorithms are implemented in the system created by the authors for the study of topological and statistical properties of random networks.","authors_text":"Martun Karapetyan, Mikayel Samvelyan, Svetlana Avetisyan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-10-14T19:35:53Z","title":"Random Irregular Block-hierarchical Networks: Algorithms for Computation of Main Properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.04249","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":"sha256:93f18de4007dc5f7831d93d742d0749bb1876a30f907b2b324061e4cdbe877df","target":"record","created_at":"2026-05-18T00:16:56Z","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":"0dbea3aa1d19705fdcfe6e07c3d6972c653b8e81789d52c815f48f050d6e9d33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2015-10-14T19:35:53Z","title_canon_sha256":"740f8025180f78046ded6452b97353010e53a593ca421f5eddcddd8a0b9b89c0"},"schema_version":"1.0","source":{"id":"1510.04249","kind":"arxiv","version":6}},"canonical_sha256":"3d6d8c767528da45c96a5134cf04d7efbde73e91b4717b8e69376caf425e565e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d6d8c767528da45c96a5134cf04d7efbde73e91b4717b8e69376caf425e565e","first_computed_at":"2026-05-18T00:16:56.974809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:56.974809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cHlRwtGB0zkllkVCdK+C1Qd4gQtBhg1zOPrIC2yEIJfw9UgQ0vpNQqn4RrTkQV31tpzOjzy9RBYq5UmczAivDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:56.975536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.04249","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93f18de4007dc5f7831d93d742d0749bb1876a30f907b2b324061e4cdbe877df","sha256:a108f4b7f8e27c91596ea317de0ac5539a4e3d87d089c48df92cdfe64fcfcc08"],"state_sha256":"c390881e45330875c01d9757bb79b25e44307ec7768b2394abb379e2a7f40ff3"}