{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2EPOC6YPNNURMZ7OB4K767J2AF","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":"5616626a3b6dfeef3860733ce233e4f45af281d4b983d2189e69de780412453d","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-05-23T21:43:21Z","title_canon_sha256":"9fb48d8e7371eb1e41812f1dce84edf65440048b0910d217f7a8eb38b3696ef4"},"schema_version":"1.0","source":{"id":"1205.5297","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5297","created_at":"2026-05-18T01:57:23Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5297v2","created_at":"2026-05-18T01:57:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5297","created_at":"2026-05-18T01:57:23Z"},{"alias_kind":"pith_short_12","alias_value":"2EPOC6YPNNUR","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2EPOC6YPNNURMZ7O","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2EPOC6YP","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:024e73451050ea3b6b4dcb97764b7b193b3f1827532946b7022aa49129ecec2c","target":"graph","created_at":"2026-05-18T01:57:23Z","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 investigate the Majority-Vote Model with two states ($-1,+1$) and a noise $q$ on Apollonian networks. The main result found here is the presence of the phase transition as a function of the noise parameter $q$. We also studies de effect of redirecting a fraction $p$ of the links of the network. By means of Monte Carlo simulations, we obtained the exponent ratio $\\gamma/\\nu$, $\\beta/\\nu$, and $1/\\nu$ for several values of rewiring probability $p$. The critical noise was determined $q_{c}$ and $U^{*}$ also was calculated. The effective dimensionality of the system was observed to be independe","authors_text":"Andr\\'e A. Moreira, Asc\\^anio D. Ara\\'ujo, F. W. S. Lima","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-05-23T21:43:21Z","title":"Non-nequilibrium model on Apollonian networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5297","kind":"arxiv","version":2},"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:c0a336329bfcb5ee421d1cb4ea214c1fcc4f4f3b5e1245c1a1471d343faf8a2f","target":"record","created_at":"2026-05-18T01:57:23Z","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":"5616626a3b6dfeef3860733ce233e4f45af281d4b983d2189e69de780412453d","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-05-23T21:43:21Z","title_canon_sha256":"9fb48d8e7371eb1e41812f1dce84edf65440048b0910d217f7a8eb38b3696ef4"},"schema_version":"1.0","source":{"id":"1205.5297","kind":"arxiv","version":2}},"canonical_sha256":"d11ee17b0f6b691667ee0f15ff7d3a014f04a74218d8b6a86507a3037dabac39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d11ee17b0f6b691667ee0f15ff7d3a014f04a74218d8b6a86507a3037dabac39","first_computed_at":"2026-05-18T01:57:23.796600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:23.796600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zyz9z5cCx4ouat8uaroI34Hu5ZTiPJzTgFib8ieqvWwCGyY5z7DMRhY2zk6b9XXX4nPbNweVwOy14wMrk3YrCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:23.797167Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5297","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0a336329bfcb5ee421d1cb4ea214c1fcc4f4f3b5e1245c1a1471d343faf8a2f","sha256:024e73451050ea3b6b4dcb97764b7b193b3f1827532946b7022aa49129ecec2c"],"state_sha256":"52ef8416d1fa79cbf07f8ef66bc2c5ee39aa03defc1e71eba9f427cf205ef281"}