{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:BJU6GN55RQ3BDO42HYHLW3KBI7","short_pith_number":"pith:BJU6GN55","schema_version":"1.0","canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","source":{"kind":"arxiv","id":"1609.09107","version":2},"attestation_state":"computed","paper":{"title":"Effect of long-range interactions on the phase transition of Axelrod's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA","physics.soc-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jos\\'e F. Fontanari, Sandro M. Reia","submitted_at":"2016-09-28T20:42:23Z","abstract_excerpt":"Axelrod's model with $F=2$ cultural features, where each feature can assume $k$ states drawn from a Poisson distribution of parameter $q$, exhibits a continuous nonequilibrium phase transition in the square lattice. Here we use extensive Monte Carlo simulations and finite size scaling to study the critical behavior of the order parameter $\\rho$, which is the fraction of sites that belong to the largest domain of an absorbing configuration averaged over many runs. We find that it vanishes as $\\rho \\sim \\left (q_c^0 - q \\right)^\\beta$ with $\\beta \\approx 0.25$ at the critical point $q_c^0 \\appro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.09107","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-09-28T20:42:23Z","cross_cats_sorted":["cs.MA","physics.soc-ph"],"title_canon_sha256":"8ae94ed103080f1ca7af09f9bbde12e3a0928be3ca1b80bd73cf6a16fae6c4d1","abstract_canon_sha256":"a98a173e6c0158a0296cde881950effb68efc18eceb1bd21ecb71d4330384e6f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:11.886877Z","signature_b64":"s0pSFweSCHJStYXStZ9syqkV9ff57EBwAZU3LLLO0K4IvjrBGoN3SIMapUxZRwfsPn3SLQqg8i/ZUhh8o0v+Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0a69e337bd8c3611bb9a3e0ebb6d4147cd8e9a49e280b8107b6388101d083dc9","last_reissued_at":"2026-05-18T00:56:11.886481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:11.886481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effect of long-range interactions on the phase transition of Axelrod's model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.MA","physics.soc-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Jos\\'e F. Fontanari, Sandro M. Reia","submitted_at":"2016-09-28T20:42:23Z","abstract_excerpt":"Axelrod's model with $F=2$ cultural features, where each feature can assume $k$ states drawn from a Poisson distribution of parameter $q$, exhibits a continuous nonequilibrium phase transition in the square lattice. Here we use extensive Monte Carlo simulations and finite size scaling to study the critical behavior of the order parameter $\\rho$, which is the fraction of sites that belong to the largest domain of an absorbing configuration averaged over many runs. We find that it vanishes as $\\rho \\sim \\left (q_c^0 - q \\right)^\\beta$ with $\\beta \\approx 0.25$ at the critical point $q_c^0 \\appro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09107","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.09107","created_at":"2026-05-18T00:56:11.886537+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.09107v2","created_at":"2026-05-18T00:56:11.886537+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09107","created_at":"2026-05-18T00:56:11.886537+00:00"},{"alias_kind":"pith_short_12","alias_value":"BJU6GN55RQ3B","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_16","alias_value":"BJU6GN55RQ3BDO42","created_at":"2026-05-18T12:30:07.202191+00:00"},{"alias_kind":"pith_short_8","alias_value":"BJU6GN55","created_at":"2026-05-18T12:30:07.202191+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7","json":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7.json","graph_json":"https://pith.science/api/pith-number/BJU6GN55RQ3BDO42HYHLW3KBI7/graph.json","events_json":"https://pith.science/api/pith-number/BJU6GN55RQ3BDO42HYHLW3KBI7/events.json","paper":"https://pith.science/paper/BJU6GN55"},"agent_actions":{"view_html":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7","download_json":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7.json","view_paper":"https://pith.science/paper/BJU6GN55","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.09107&json=true","fetch_graph":"https://pith.science/api/pith-number/BJU6GN55RQ3BDO42HYHLW3KBI7/graph.json","fetch_events":"https://pith.science/api/pith-number/BJU6GN55RQ3BDO42HYHLW3KBI7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/action/storage_attestation","attest_author":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/action/author_attestation","sign_citation":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/action/citation_signature","submit_replication":"https://pith.science/pith/BJU6GN55RQ3BDO42HYHLW3KBI7/action/replication_record"}},"created_at":"2026-05-18T00:56:11.886537+00:00","updated_at":"2026-05-18T00:56:11.886537+00:00"}