{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6RXY3ED6ANL2EVMAHSKCCF5S7W","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":"2009917e5c9e2aa1d1a11b4725ca29ac578ada839ba03c8d7eaae358ac02de3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-08-12T15:07:43Z","title_canon_sha256":"b6c5ee4ef3be345c9a6528a922463b2a1b8af104678dc090c944bf8365fd9062"},"schema_version":"1.0","source":{"id":"1408.2734","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2734","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2734v1","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2734","created_at":"2026-05-18T02:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"6RXY3ED6ANL2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6RXY3ED6ANL2EVMA","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6RXY3ED6","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:82e3baef05e98ea6c9ddab152ff7b82916bec9d8372efc4472d6cbff569dda52","target":"graph","created_at":"2026-05-18T02:45:22Z","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 present in this paper an approximation that is able to give an analytical expression for the exit probability of the $q$-voter model in one dimension. This expression gives a better fit for the more recent data about simulations in large networks, and as such, departs from the expression $\\frac{\\rho^q}{\\rho^q + (1-\\rho)^q}$ found in papers that investigated small networks only. The approximation consists in assuming a large separation on the time scales at which active groups of agents convince inactive ones and the time taken in the competition between active groups. Some interesting findi","authors_text":"Andr\\'e Martin Timpanaro, Serge Galam","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-08-12T15:07:43Z","title":"An analytical expression for the exit probability of the q-voter model in one dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2734","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":"sha256:21fdd28d13e504b7ae4210b11facb3512a6d13f398b949eed94c3d9e7e86367d","target":"record","created_at":"2026-05-18T02:45:22Z","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":"2009917e5c9e2aa1d1a11b4725ca29ac578ada839ba03c8d7eaae358ac02de3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-08-12T15:07:43Z","title_canon_sha256":"b6c5ee4ef3be345c9a6528a922463b2a1b8af104678dc090c944bf8365fd9062"},"schema_version":"1.0","source":{"id":"1408.2734","kind":"arxiv","version":1}},"canonical_sha256":"f46f8d907e0357a255803c942117b2fdafb89a5b79480b45c6f5e5148c37ac72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f46f8d907e0357a255803c942117b2fdafb89a5b79480b45c6f5e5148c37ac72","first_computed_at":"2026-05-18T02:45:22.424415Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:22.424415Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"etwBz3s/eKlbNIu4rxbhhFTxxeuJHio64+Xg/HKMyRyaTsdBrPQC3vOI7J+mpMgY4XLP+oaRn5VgAYCdzyRlAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:22.424830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2734","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21fdd28d13e504b7ae4210b11facb3512a6d13f398b949eed94c3d9e7e86367d","sha256:82e3baef05e98ea6c9ddab152ff7b82916bec9d8372efc4472d6cbff569dda52"],"state_sha256":"c6f31ac798b35373fc1c5dafd0801df38b42b142c714a77a6aee9251fa42e776"}