{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7CO4FGY5QXLWHJNQCRVXOBLQAY","short_pith_number":"pith:7CO4FGY5","schema_version":"1.0","canonical_sha256":"f89dc29b1d85d763a5b0146b770570061bb3765d49119ff43a94a26c6b9f0690","source":{"kind":"arxiv","id":"2607.01009","version":1},"attestation_state":"computed","paper":{"title":"Phase diagram of a double-occupancy cell model of a fluid with Curie-Weiss interaction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"I. V. Pylyuk, M. A. Shpot, M. P. Kozlovskii, O. A. Dobush, R. V. Romanik","submitted_at":"2026-07-01T14:47:06Z","abstract_excerpt":"A double-occupancy cell model of a fluid with Curie-Weiss interaction is studied. First, we show that the model is isomorphic to the Blume-Capel model on a complete graph through a simple transformation from spin to occupancy variables. We then investigate its phase behavior within the grand-canonical ensemble using a combination of analytical and numerical methods. Despite its simplicity, the model exhibits a remarkably rich thermodynamic behavior depending on the ratio between the local repulsive and global attractive interactions. We identify regimes characterized by a single critical point"},"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":"2607.01009","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-07-01T14:47:06Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"56d8880df155eb597e065d24a407b53a7e2ce35b36ee8a88f6b360654583360f","abstract_canon_sha256":"5e88ff87dc05fc54c873d9715c7810f38c7679b55c25db8686983b9a94d21ccd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-02T01:18:25.909125Z","signature_b64":"tR7Ygiho/bamIaOwj1GSdOaqoNXLS1rGtMvzs46d3ltdHUvTdT2qTu18/wQpjzorQrXiQ0VBN4QyEHOu9662DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f89dc29b1d85d763a5b0146b770570061bb3765d49119ff43a94a26c6b9f0690","last_reissued_at":"2026-07-02T01:18:25.908699Z","signature_status":"signed_v1","first_computed_at":"2026-07-02T01:18:25.908699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase diagram of a double-occupancy cell model of a fluid with Curie-Weiss interaction","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"I. V. Pylyuk, M. A. Shpot, M. P. Kozlovskii, O. A. Dobush, R. V. Romanik","submitted_at":"2026-07-01T14:47:06Z","abstract_excerpt":"A double-occupancy cell model of a fluid with Curie-Weiss interaction is studied. First, we show that the model is isomorphic to the Blume-Capel model on a complete graph through a simple transformation from spin to occupancy variables. We then investigate its phase behavior within the grand-canonical ensemble using a combination of analytical and numerical methods. Despite its simplicity, the model exhibits a remarkably rich thermodynamic behavior depending on the ratio between the local repulsive and global attractive interactions. We identify regimes characterized by a single critical point"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.01009","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.01009/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2607.01009","created_at":"2026-07-02T01:18:25.908765+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.01009v1","created_at":"2026-07-02T01:18:25.908765+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.01009","created_at":"2026-07-02T01:18:25.908765+00:00"},{"alias_kind":"pith_short_12","alias_value":"7CO4FGY5QXLW","created_at":"2026-07-02T01:18:25.908765+00:00"},{"alias_kind":"pith_short_16","alias_value":"7CO4FGY5QXLWHJNQ","created_at":"2026-07-02T01:18:25.908765+00:00"},{"alias_kind":"pith_short_8","alias_value":"7CO4FGY5","created_at":"2026-07-02T01:18:25.908765+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/7CO4FGY5QXLWHJNQCRVXOBLQAY","json":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY.json","graph_json":"https://pith.science/api/pith-number/7CO4FGY5QXLWHJNQCRVXOBLQAY/graph.json","events_json":"https://pith.science/api/pith-number/7CO4FGY5QXLWHJNQCRVXOBLQAY/events.json","paper":"https://pith.science/paper/7CO4FGY5"},"agent_actions":{"view_html":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY","download_json":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY.json","view_paper":"https://pith.science/paper/7CO4FGY5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.01009&json=true","fetch_graph":"https://pith.science/api/pith-number/7CO4FGY5QXLWHJNQCRVXOBLQAY/graph.json","fetch_events":"https://pith.science/api/pith-number/7CO4FGY5QXLWHJNQCRVXOBLQAY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY/action/storage_attestation","attest_author":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY/action/author_attestation","sign_citation":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY/action/citation_signature","submit_replication":"https://pith.science/pith/7CO4FGY5QXLWHJNQCRVXOBLQAY/action/replication_record"}},"created_at":"2026-07-02T01:18:25.908765+00:00","updated_at":"2026-07-02T01:18:25.908765+00:00"}