{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:K3XZL7LKAEXOV4JBV4GDV536PK","short_pith_number":"pith:K3XZL7LK","schema_version":"1.0","canonical_sha256":"56ef95fd6a012eeaf121af0c3af77e7aa0447fba45caf1bc7bc3c900731386f9","source":{"kind":"arxiv","id":"1611.05622","version":2},"attestation_state":"computed","paper":{"title":"Critical Casimir force scaling functions of the two-dimensional Ising model at finite aspect ratios","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alfred Hucht, Hendrik Hobrecht","submitted_at":"2016-11-17T10:13:58Z","abstract_excerpt":"We present a systematic method to calculate the universal scaling functions for the critical Casimir force and the according potential of the two-dimensional Ising model with various boundary conditions. Therefore we start with the dimer representation of the corresponding partition function $Z$ on an $L\\times M$ square lattice, wrapped around a torus with aspect ratio $\\rho=L/M$. By assuming periodic boundary conditions and translational invariance in at least one direction, we systematically reduce the problem to a $2\\times2$ transfer matrix representation. For the torus we first reproduce t"},"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":"1611.05622","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-11-17T10:13:58Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"24356f77c01b3052563ca5cd4cf8777823174310d8d42e7c1e8e6b87f5462b1f","abstract_canon_sha256":"493157a339a2527560d0970cd2dd6cee2a38c9a6070663022e353eaf28ce4726"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:25.008952Z","signature_b64":"PjmSKHA7erlpXslQgWoRDSh1u4tlcxz0KrEs/XXbt0gfV9xKvSdh/hQHi6tsUgCX/6AgVb+K1wx2YHCil0QVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56ef95fd6a012eeaf121af0c3af77e7aa0447fba45caf1bc7bc3c900731386f9","last_reissued_at":"2026-05-18T00:51:25.008408Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:25.008408Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Critical Casimir force scaling functions of the two-dimensional Ising model at finite aspect ratios","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alfred Hucht, Hendrik Hobrecht","submitted_at":"2016-11-17T10:13:58Z","abstract_excerpt":"We present a systematic method to calculate the universal scaling functions for the critical Casimir force and the according potential of the two-dimensional Ising model with various boundary conditions. Therefore we start with the dimer representation of the corresponding partition function $Z$ on an $L\\times M$ square lattice, wrapped around a torus with aspect ratio $\\rho=L/M$. By assuming periodic boundary conditions and translational invariance in at least one direction, we systematically reduce the problem to a $2\\times2$ transfer matrix representation. For the torus we first reproduce t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05622","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":"1611.05622","created_at":"2026-05-18T00:51:25.008484+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.05622v2","created_at":"2026-05-18T00:51:25.008484+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05622","created_at":"2026-05-18T00:51:25.008484+00:00"},{"alias_kind":"pith_short_12","alias_value":"K3XZL7LKAEXO","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"K3XZL7LKAEXOV4JB","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"K3XZL7LK","created_at":"2026-05-18T12:30:25.849896+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/K3XZL7LKAEXOV4JBV4GDV536PK","json":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK.json","graph_json":"https://pith.science/api/pith-number/K3XZL7LKAEXOV4JBV4GDV536PK/graph.json","events_json":"https://pith.science/api/pith-number/K3XZL7LKAEXOV4JBV4GDV536PK/events.json","paper":"https://pith.science/paper/K3XZL7LK"},"agent_actions":{"view_html":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK","download_json":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK.json","view_paper":"https://pith.science/paper/K3XZL7LK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.05622&json=true","fetch_graph":"https://pith.science/api/pith-number/K3XZL7LKAEXOV4JBV4GDV536PK/graph.json","fetch_events":"https://pith.science/api/pith-number/K3XZL7LKAEXOV4JBV4GDV536PK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK/action/storage_attestation","attest_author":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK/action/author_attestation","sign_citation":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK/action/citation_signature","submit_replication":"https://pith.science/pith/K3XZL7LKAEXOV4JBV4GDV536PK/action/replication_record"}},"created_at":"2026-05-18T00:51:25.008484+00:00","updated_at":"2026-05-18T00:51:25.008484+00:00"}