{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SAICDPZ47R6S7KUQNPPJMGX6IW","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":"41bc96e69cbdb6e8a05c116b2b01aa8e3fa2c829cc42f9bc5d20e87aefb8756a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-04-12T10:34:11Z","title_canon_sha256":"973c610970fe94e60db3fbca36526e0fd8c452a599ff37e3aed5403c46697768"},"schema_version":"1.0","source":{"id":"1404.3276","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.3276","created_at":"2026-05-18T01:43:35Z"},{"alias_kind":"arxiv_version","alias_value":"1404.3276v1","created_at":"2026-05-18T01:43:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.3276","created_at":"2026-05-18T01:43:35Z"},{"alias_kind":"pith_short_12","alias_value":"SAICDPZ47R6S","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SAICDPZ47R6S7KUQ","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SAICDPZ4","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:d9c44b03d9e2bf326b71b979622e9f580e89b57c83e6c3498ca8206168f9665c","target":"graph","created_at":"2026-05-18T01:43:35Z","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":"The Barab\\'asi-Bianconi (BB) fitness model can be solved by a mapping between the original network growth model to an idealized bosonic gas. The well-known transition to Bose-Einstein condensation in the latter then corresponds to the emergence of \"super-hubs\" in the network model. Motivated by the preservation of the scale-free property, thermodynamic stability and self-duality, we generalize the original extensive mapping of the BB fitness model by using the nonextensive Kaniadakis k-distribution. Through numerical simulation and mean-field calculations we show that deviations from extensivi","authors_text":"Markus Brede, Massimo Stella","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-04-12T10:34:11Z","title":"A k-deformed Model of Growing Complex Networks with Fitness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.3276","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:c196522425be50fc1228f4f18ac44b81aebebc912194e30f02b20aa5bdc8c8d9","target":"record","created_at":"2026-05-18T01:43:35Z","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":"41bc96e69cbdb6e8a05c116b2b01aa8e3fa2c829cc42f9bc5d20e87aefb8756a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-04-12T10:34:11Z","title_canon_sha256":"973c610970fe94e60db3fbca36526e0fd8c452a599ff37e3aed5403c46697768"},"schema_version":"1.0","source":{"id":"1404.3276","kind":"arxiv","version":1}},"canonical_sha256":"901021bf3cfc7d2faa906bde961afe4583294c061c31cf6cd2215be2674532ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"901021bf3cfc7d2faa906bde961afe4583294c061c31cf6cd2215be2674532ce","first_computed_at":"2026-05-18T01:43:35.174606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:35.174606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N/VZrlNApl6yprCdyJJ3a430GO4TJgOHi4kx9XpDMHYjjSzXYEutPMmuKOqNyHGxDoWnEyPaI114oCZBpHDBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:35.175097Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.3276","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c196522425be50fc1228f4f18ac44b81aebebc912194e30f02b20aa5bdc8c8d9","sha256:d9c44b03d9e2bf326b71b979622e9f580e89b57c83e6c3498ca8206168f9665c"],"state_sha256":"ee6f4d6c80a67914fcf30aacde6b8d82efa4f9cc6b369819a85c9c355217de09"}