{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MOMJ2ATFQGBBOET2G7WJYISHCT","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":"c3dbafde0bdd73f3b83a161540366efe94c2f6962d973f3d2239a4c4888ac86a","cross_cats_sorted":["cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-09T18:15:56Z","title_canon_sha256":"b03e2fa7d24ead6dc153fa2b7737e746c1eb923a2e5fd0d937df96c5caae90ba"},"schema_version":"1.0","source":{"id":"1612.03115","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03115","created_at":"2026-05-18T00:35:46Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03115v3","created_at":"2026-05-18T00:35:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03115","created_at":"2026-05-18T00:35:46Z"},{"alias_kind":"pith_short_12","alias_value":"MOMJ2ATFQGBB","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MOMJ2ATFQGBBOET2","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MOMJ2ATF","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:8a65f787defbc0381ddadbcc16a96d1749315a1e02803ee2083a25cd39b0d088","target":"graph","created_at":"2026-05-18T00:35:46Z","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":"Barab\\'asi-Albert's `Scale Free' model is the starting point for much of the accepted theory of the evolution of real world communication networks. Careful comparison of the theory with a wide range of real world networks, however, indicates that the model is in some cases, only a rough approximation to the dynamical evolution of real networks. In particular, the exponent $\\gamma$ of the power law distribution of degree is predicted by the model to be exactly 3, whereas in a number of real world networks it has values between 1.2 and 2.9. In addition, the degree distributions of real networks ","authors_text":"George Parisis, Ian Wakeman, Istv\\'an Z. Kiss, Jonathan Dawes, Philip Tee","cross_cats":["cs.SI","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-09T18:15:56Z","title":"Constraints and Entropy in a Model of Network Evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03115","kind":"arxiv","version":3},"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":"sha256:0518a65a1def8a80a94fa885a395241d10c0b44fe0e7a7f73345a183ee4944bf","target":"record","created_at":"2026-05-18T00:35:46Z","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":"c3dbafde0bdd73f3b83a161540366efe94c2f6962d973f3d2239a4c4888ac86a","cross_cats_sorted":["cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-09T18:15:56Z","title_canon_sha256":"b03e2fa7d24ead6dc153fa2b7737e746c1eb923a2e5fd0d937df96c5caae90ba"},"schema_version":"1.0","source":{"id":"1612.03115","kind":"arxiv","version":3}},"canonical_sha256":"63989d0265818217127a37ec9c224714e78ac073d845a2063cc9d7b9b86f4ccc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"63989d0265818217127a37ec9c224714e78ac073d845a2063cc9d7b9b86f4ccc","first_computed_at":"2026-05-18T00:35:46.621604Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:46.621604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"URwWANYCKzmWZYfcIwM9FS03Zf/fSQdGmsqtLOSgN0j91ZQVR48W+OmO2ybC20zas8CWJNeOjx+qXBioMsIfAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:46.622125Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.03115","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0518a65a1def8a80a94fa885a395241d10c0b44fe0e7a7f73345a183ee4944bf","sha256:8a65f787defbc0381ddadbcc16a96d1749315a1e02803ee2083a25cd39b0d088"],"state_sha256":"520590f8d049d39c1ca5b426703a7f95764acc52c2fc5425051b1291a1a5e3fc"}