{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:UTTTDEP6E4E7F74Y5PPZLREPWE","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":"1c62c57392e50613d667cddacbd2ee9cf6cc92ff77ad8c092968f838920e117d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-11-13T16:21:30Z","title_canon_sha256":"a1c695ef4ec6e8eaa9bc084310241bd4dc0a14f4282bf2bcaf0e5ddd9361400f"},"schema_version":"1.0","source":{"id":"cond-mat/0011224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0011224","created_at":"2026-07-04T15:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0011224v1","created_at":"2026-07-04T15:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0011224","created_at":"2026-07-04T15:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"UTTTDEP6E4E7","created_at":"2026-07-04T15:37:42Z"},{"alias_kind":"pith_short_16","alias_value":"UTTTDEP6E4E7F74Y","created_at":"2026-07-04T15:37:42Z"},{"alias_kind":"pith_short_8","alias_value":"UTTTDEP6","created_at":"2026-07-04T15:37:42Z"}],"graph_snapshots":[{"event_id":"sha256:a50210a3e1e8416274c263cbc79704a69b92c29c72ba6ee222f094187cdd6820","target":"graph","created_at":"2026-07-04T15:37:42Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0011224/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The evolution of many complex systems, including the world wide web, business and citation networks is encoded in the dynamic web describing the interactions between the system's constituents. Despite their irreversible and non-equilibrium nature these networks follow Bose statistics and can undergo Bose-Einstein condensation. Addressing the dynamical properties of these non-equilibrium systems within the framework of equilibrium quantum gases predicts that the 'first-mover-advantage', 'fit-get-rich' and 'winner-takes-all' phenomena observed in competitive systems are thermodynamically distinc","authors_text":"A.-L. Barab\\'asi, G. Bianconi","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-11-13T16:21:30Z","title":"Bose-Einstein condensation in complex networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0011224","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":"sha256:791808e201a2b4608f2de367813dc38767084d23ee986c5f3c146038dc0b72db","target":"record","created_at":"2026-07-04T15:37:42Z","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":"1c62c57392e50613d667cddacbd2ee9cf6cc92ff77ad8c092968f838920e117d","cross_cats_sorted":["cond-mat.stat-mech"],"license":"","primary_cat":"cond-mat.dis-nn","submitted_at":"2000-11-13T16:21:30Z","title_canon_sha256":"a1c695ef4ec6e8eaa9bc084310241bd4dc0a14f4282bf2bcaf0e5ddd9361400f"},"schema_version":"1.0","source":{"id":"cond-mat/0011224","kind":"arxiv","version":1}},"canonical_sha256":"a4e73191fe2709f2ff98ebdf95c48fb11bd7cd4578da6ccb15817271c36d6fb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4e73191fe2709f2ff98ebdf95c48fb11bd7cd4578da6ccb15817271c36d6fb8","first_computed_at":"2026-07-04T15:37:42.053596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:37:42.053596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OdYKUTI3O8pHXv/W/tuNQ6vVcLvm5rqe5n7cXFsJPEnK8atw1z1IdlB2ZWvxVIxEZY3ZU/S+fgd2HM/X4jc3Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:37:42.053951Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0011224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:791808e201a2b4608f2de367813dc38767084d23ee986c5f3c146038dc0b72db","sha256:a50210a3e1e8416274c263cbc79704a69b92c29c72ba6ee222f094187cdd6820"],"state_sha256":"4788ba81e3fafba8a6dd142b14cc8d4e0711b7cd7191868d76f6e66692974450"}