{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZQKH2RS5CV2D4RJB3UVBMJCWML","short_pith_number":"pith:ZQKH2RS5","schema_version":"1.0","canonical_sha256":"cc147d465d15743e4521dd2a16245662e59368ac405a9d79becb0c5340b362c2","source":{"kind":"arxiv","id":"1510.00534","version":1},"attestation_state":"computed","paper":{"title":"Partition function zeros for the Ising model on complete graphs and on annealed scale-free 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":"B. Berche, M. Krasnytska, R. Kenna, Yu. Holovatch","submitted_at":"2015-10-02T09:11:15Z","abstract_excerpt":"We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as $P(k)\\sim k^{-\\lambda}$. We are interested in zeros of the partition function in the cases of complex temperature or complex external field (Fisher and Lee-Yang zeros respectively). For the model on an annealed scale-free network, we find an integral representation for the partition function which, in the case $\\lambda > 5$, reproduces the zeros for the Ising model on a complete"},"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":"1510.00534","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-10-02T09:11:15Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"c008ddbb438f340361cb5ff2fc47a432e9c3d3ff4b32778f05ad8458d8186fdb","abstract_canon_sha256":"5052d8d22a2fb64457d2f5c00e1045e4f92a6f5175e1dc99d908084b5172ff5b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:32.963752Z","signature_b64":"KiJEtVOrv4N4tOb/qjDj/yV3qapv4FgStVzRQjLpi0/UxgIuDfAAQbwrdLpYD6k7MbEAYM6ymvRDj9+LwsY2BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc147d465d15743e4521dd2a16245662e59368ac405a9d79becb0c5340b362c2","last_reissued_at":"2026-05-18T01:18:32.963300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:32.963300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Partition function zeros for the Ising model on complete graphs and on annealed scale-free 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":"B. Berche, M. Krasnytska, R. Kenna, Yu. Holovatch","submitted_at":"2015-10-02T09:11:15Z","abstract_excerpt":"We analyze the partition function of the Ising model on graphs of two different types: complete graphs, wherein all nodes are mutually linked and annealed scale-free networks for which the degree distribution decays as $P(k)\\sim k^{-\\lambda}$. We are interested in zeros of the partition function in the cases of complex temperature or complex external field (Fisher and Lee-Yang zeros respectively). For the model on an annealed scale-free network, we find an integral representation for the partition function which, in the case $\\lambda > 5$, reproduces the zeros for the Ising model on a complete"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.00534","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":"1510.00534","created_at":"2026-05-18T01:18:32.963389+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.00534v1","created_at":"2026-05-18T01:18:32.963389+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.00534","created_at":"2026-05-18T01:18:32.963389+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZQKH2RS5CV2D","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZQKH2RS5CV2D4RJB","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZQKH2RS5","created_at":"2026-05-18T12:29:52.810259+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.19964","citing_title":"Lee-Yang zeros and edge singularity in a mean-field approach","ref_index":64,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML","json":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML.json","graph_json":"https://pith.science/api/pith-number/ZQKH2RS5CV2D4RJB3UVBMJCWML/graph.json","events_json":"https://pith.science/api/pith-number/ZQKH2RS5CV2D4RJB3UVBMJCWML/events.json","paper":"https://pith.science/paper/ZQKH2RS5"},"agent_actions":{"view_html":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML","download_json":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML.json","view_paper":"https://pith.science/paper/ZQKH2RS5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.00534&json=true","fetch_graph":"https://pith.science/api/pith-number/ZQKH2RS5CV2D4RJB3UVBMJCWML/graph.json","fetch_events":"https://pith.science/api/pith-number/ZQKH2RS5CV2D4RJB3UVBMJCWML/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML/action/storage_attestation","attest_author":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML/action/author_attestation","sign_citation":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML/action/citation_signature","submit_replication":"https://pith.science/pith/ZQKH2RS5CV2D4RJB3UVBMJCWML/action/replication_record"}},"created_at":"2026-05-18T01:18:32.963389+00:00","updated_at":"2026-05-18T01:18:32.963389+00:00"}