{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:RV6KN3M75RVT7RGXWOQR3KOQTZ","short_pith_number":"pith:RV6KN3M7","schema_version":"1.0","canonical_sha256":"8d7ca6ed9fec6b3fc4d7b3a11da9d09e464f6041333c6419febadd2593a2d7b6","source":{"kind":"arxiv","id":"1501.03135","version":1},"attestation_state":"computed","paper":{"title":"Thermodynamics of the six-vertex model in an L-shaped domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Andrei G. Pronko, Filippo Colomo","submitted_at":"2015-01-13T20:15:10Z","abstract_excerpt":"We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions. For free-fermion vertex weights the partition function can be expressed in terms of some Hankel determinant, or equivalently as a Coulomb gas with discrete measure and a non-polynomial potential with two hard walls. We use Coulomb gas methods to study the partition function in the thermodynamic limit. We obtain the free energy of the six-vertex model as a function of the parameters describing the geometry of the scaled L-shaped domain. Under variations of these parameters the sys"},"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":"1501.03135","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-01-13T20:15:10Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP","math.PR"],"title_canon_sha256":"dba5f2c514187358df897ad98c1b196f5ea0c280c9c1ff4c3dd56b2fad628d4c","abstract_canon_sha256":"cd975dac9ee0a1ac4807153ed736946ccb190cfd8283af2365671cfba11dba27"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:31.244053Z","signature_b64":"i+IiGnwredCc8Ms4iYqSpNScddrW2Lmg2g6EMu9ES3R8hyGNyYspL8Ag2HWypjeaVBlNOMhvCjhr5UbRv+aUAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8d7ca6ed9fec6b3fc4d7b3a11da9d09e464f6041333c6419febadd2593a2d7b6","last_reissued_at":"2026-05-18T01:36:31.243529Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:31.243529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamics of the six-vertex model in an L-shaped domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Andrei G. Pronko, Filippo Colomo","submitted_at":"2015-01-13T20:15:10Z","abstract_excerpt":"We consider the six-vertex model in an L-shaped domain of the square lattice, with domain wall boundary conditions. For free-fermion vertex weights the partition function can be expressed in terms of some Hankel determinant, or equivalently as a Coulomb gas with discrete measure and a non-polynomial potential with two hard walls. We use Coulomb gas methods to study the partition function in the thermodynamic limit. We obtain the free energy of the six-vertex model as a function of the parameters describing the geometry of the scaled L-shaped domain. Under variations of these parameters the sys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03135","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":"1501.03135","created_at":"2026-05-18T01:36:31.243604+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.03135v1","created_at":"2026-05-18T01:36:31.243604+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03135","created_at":"2026-05-18T01:36:31.243604+00:00"},{"alias_kind":"pith_short_12","alias_value":"RV6KN3M75RVT","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"RV6KN3M75RVT7RGX","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"RV6KN3M7","created_at":"2026-05-18T12:29:39.896362+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/RV6KN3M75RVT7RGXWOQR3KOQTZ","json":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ.json","graph_json":"https://pith.science/api/pith-number/RV6KN3M75RVT7RGXWOQR3KOQTZ/graph.json","events_json":"https://pith.science/api/pith-number/RV6KN3M75RVT7RGXWOQR3KOQTZ/events.json","paper":"https://pith.science/paper/RV6KN3M7"},"agent_actions":{"view_html":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ","download_json":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ.json","view_paper":"https://pith.science/paper/RV6KN3M7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.03135&json=true","fetch_graph":"https://pith.science/api/pith-number/RV6KN3M75RVT7RGXWOQR3KOQTZ/graph.json","fetch_events":"https://pith.science/api/pith-number/RV6KN3M75RVT7RGXWOQR3KOQTZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ/action/storage_attestation","attest_author":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ/action/author_attestation","sign_citation":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ/action/citation_signature","submit_replication":"https://pith.science/pith/RV6KN3M75RVT7RGXWOQR3KOQTZ/action/replication_record"}},"created_at":"2026-05-18T01:36:31.243604+00:00","updated_at":"2026-05-18T01:36:31.243604+00:00"}