{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TWSUDBE4BJVCNRVXDBICYGRBKF","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":"a33eb51efd74f756547f2d996b94429427f170cdcc6db69e422c6d54e1a0ffed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-02-02T20:23:09Z","title_canon_sha256":"9da7642d7d9f51ba5d7efce01e16e2f899379f09daa8c03c0254c523d33e2c7f"},"schema_version":"1.0","source":{"id":"1602.01069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01069","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01069v1","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01069","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"TWSUDBE4BJVC","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TWSUDBE4BJVCNRVX","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TWSUDBE4","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:3b6472d18453fdc1f3b2b70e11b2c072400baf56268a3c2125874719233de9fb","target":"graph","created_at":"2026-05-18T01:21:23Z","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":"We check the existence of a spontaneous magnetisation of Ising and Potts spins on semi-directed Barabasi-Albert networks by Monte Carlo simulations. We verified that the magnetisation for different temperatures $T$ decays after a characteristic time $\\tau(T)$, which we extrapolate to diverge at positive temperatures $T_c(N)$ by a Vogel-Fulcher law, with $T_c(N)$ increasing logarithmically with network size $N$.","authors_text":"F. W. S. Lima, Muneer A. Sumour","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-02-02T20:23:09Z","title":"Unusual ferromagnetism in Ising and Potts model on semi-directed Barab\\'asi-Albert networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01069","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":"sha256:5a3563d72158ad7a610d4e979c0d0005463622f74501760d4da2dc6ea8917d6a","target":"record","created_at":"2026-05-18T01:21:23Z","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":"a33eb51efd74f756547f2d996b94429427f170cdcc6db69e422c6d54e1a0ffed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2016-02-02T20:23:09Z","title_canon_sha256":"9da7642d7d9f51ba5d7efce01e16e2f899379f09daa8c03c0254c523d33e2c7f"},"schema_version":"1.0","source":{"id":"1602.01069","kind":"arxiv","version":1}},"canonical_sha256":"9da541849c0a6a26c6b718502c1a2151630695d12d280dd6401bc66fa1967359","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9da541849c0a6a26c6b718502c1a2151630695d12d280dd6401bc66fa1967359","first_computed_at":"2026-05-18T01:21:23.824371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:23.824371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5iKi0sKuBpOv4GIyt3c6fTq4c477NFVL2UxQ+/u6MKX97b5kGEUtZB170bngG9c6KD8O5LMxuTG9MuKCOftvDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:23.824959Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5a3563d72158ad7a610d4e979c0d0005463622f74501760d4da2dc6ea8917d6a","sha256:3b6472d18453fdc1f3b2b70e11b2c072400baf56268a3c2125874719233de9fb"],"state_sha256":"b47188be5f1499a9eb6400cfd593bfc60aa61eea873492432a5051f552c7e737"}