{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:4BP33YQQCQVOEUDPTGRCMQ4GJU","short_pith_number":"pith:4BP33YQQ","schema_version":"1.0","canonical_sha256":"e05fbde210142ae2506f99a22643864d060dd6a4325a914c380ae06c087e51dd","source":{"kind":"arxiv","id":"1303.3695","version":1},"attestation_state":"computed","paper":{"title":"How does degree heterogeneity affect nucleation of Ising model on complex networks?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Chuansheng Shen, Feng Huang, Gang He, Hanshuang Chen, Shuxian Li, Zhonghuai Hou","submitted_at":"2013-03-15T07:24:38Z","abstract_excerpt":"We investigate the nucleation of Ising model on complex networks and focus on the role played by the heterogeneity of degree distribution on nucleation rate. Using Monte Carlo simulation combined with forward flux sampling, we find that for a weak external field the nucleation rate decreases monotonically as degree heterogeneity increases. Interestingly, for a relatively strong external field the nucleation rate exhibits a nonmonotonic dependence on degree heterogeneity, in which there exists a maximal nucleation rate at an intermediate level of degree heterogeneity. Furthermore, we develop a "},"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":"1303.3695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2013-03-15T07:24:38Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"6e62ab108ec18fc78057ba5e5501fe18548e43a7ef6e92729351c0d89672f1db","abstract_canon_sha256":"c3a869f668b5cefcbb19a11a5c2a42fd579071be379e0013b0897e2a080012bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:06.924394Z","signature_b64":"8wtduIQJ80tAfFkMShkbxwhJy/oqSDmMiTYS1Xd2OjwQ7EvHIoA/fRv+njLb552pGrAQ82ObYAnfz6XQVRCICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e05fbde210142ae2506f99a22643864d060dd6a4325a914c380ae06c087e51dd","last_reissued_at":"2026-05-18T01:51:06.923836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:06.923836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"How does degree heterogeneity affect nucleation of Ising model on complex networks?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Chuansheng Shen, Feng Huang, Gang He, Hanshuang Chen, Shuxian Li, Zhonghuai Hou","submitted_at":"2013-03-15T07:24:38Z","abstract_excerpt":"We investigate the nucleation of Ising model on complex networks and focus on the role played by the heterogeneity of degree distribution on nucleation rate. Using Monte Carlo simulation combined with forward flux sampling, we find that for a weak external field the nucleation rate decreases monotonically as degree heterogeneity increases. Interestingly, for a relatively strong external field the nucleation rate exhibits a nonmonotonic dependence on degree heterogeneity, in which there exists a maximal nucleation rate at an intermediate level of degree heterogeneity. Furthermore, we develop a "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3695","kind":"arxiv","version":1},"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":"1303.3695","created_at":"2026-05-18T01:51:06.923913+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.3695v1","created_at":"2026-05-18T01:51:06.923913+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3695","created_at":"2026-05-18T01:51:06.923913+00:00"},{"alias_kind":"pith_short_12","alias_value":"4BP33YQQCQVO","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"4BP33YQQCQVOEUDP","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"4BP33YQQ","created_at":"2026-05-18T12:27:32.513160+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/4BP33YQQCQVOEUDPTGRCMQ4GJU","json":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU.json","graph_json":"https://pith.science/api/pith-number/4BP33YQQCQVOEUDPTGRCMQ4GJU/graph.json","events_json":"https://pith.science/api/pith-number/4BP33YQQCQVOEUDPTGRCMQ4GJU/events.json","paper":"https://pith.science/paper/4BP33YQQ"},"agent_actions":{"view_html":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU","download_json":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU.json","view_paper":"https://pith.science/paper/4BP33YQQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.3695&json=true","fetch_graph":"https://pith.science/api/pith-number/4BP33YQQCQVOEUDPTGRCMQ4GJU/graph.json","fetch_events":"https://pith.science/api/pith-number/4BP33YQQCQVOEUDPTGRCMQ4GJU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU/action/storage_attestation","attest_author":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU/action/author_attestation","sign_citation":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU/action/citation_signature","submit_replication":"https://pith.science/pith/4BP33YQQCQVOEUDPTGRCMQ4GJU/action/replication_record"}},"created_at":"2026-05-18T01:51:06.923913+00:00","updated_at":"2026-05-18T01:51:06.923913+00:00"}