{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:BZVG2ZFLE2YG5F5XB5MID6RQEB","short_pith_number":"pith:BZVG2ZFL","schema_version":"1.0","canonical_sha256":"0e6a6d64ab26b06e97b70f5881fa30205f8e342168ac4b6e32e22e00e147cb96","source":{"kind":"arxiv","id":"cond-mat/0605406","version":1},"attestation_state":"computed","paper":{"title":"Domino tilings and the six-vertex model at its free fermion point","license":"","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Herbert Spohn (1) ((1) TU-Muenchen), Patrik L. Ferrari (1)","submitted_at":"2006-05-16T10:26:00Z","abstract_excerpt":"At the free-fermion point, the six-vertex model with domain wall boundary conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the mapping on the level of complete statistics for general domains and boundary conditions. This is obtained by associating to both models a set of non-intersecting lines in the Lindstroem-Gessel-Viennot (LGV) scheme. One of the consequence for DWBC is that the boundaries of the ordered phases are described by the Airy process in the thermodynamic limit."},"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":"cond-mat/0605406","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-05-16T10:26:00Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"94536c27e12485dc3fd0b48593ed459f9a738fd2e5affe239052a80066c127a6","abstract_canon_sha256":"5a7e57d70721ec17370407956d5804dd7772a984a1688da1d6c1b22c6c89e1dd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:03.137666Z","signature_b64":"EUcesabRhKlLVVrgOE73SHk+Mu7fEDRTz/vOJbvUIJzI2MzyxvxH/CotDq0W/a32SUp8udPewhZh+yMb+LDDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e6a6d64ab26b06e97b70f5881fa30205f8e342168ac4b6e32e22e00e147cb96","last_reissued_at":"2026-05-18T04:09:03.137074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:03.137074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Domino tilings and the six-vertex model at its free fermion point","license":"","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Herbert Spohn (1) ((1) TU-Muenchen), Patrik L. Ferrari (1)","submitted_at":"2006-05-16T10:26:00Z","abstract_excerpt":"At the free-fermion point, the six-vertex model with domain wall boundary conditions (DWBC) can be related to the Aztec diamond, a domino tiling problem. We study the mapping on the level of complete statistics for general domains and boundary conditions. This is obtained by associating to both models a set of non-intersecting lines in the Lindstroem-Gessel-Viennot (LGV) scheme. One of the consequence for DWBC is that the boundaries of the ordered phases are described by the Airy process in the thermodynamic limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0605406","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":"cond-mat/0605406","created_at":"2026-05-18T04:09:03.137167+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0605406v1","created_at":"2026-05-18T04:09:03.137167+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0605406","created_at":"2026-05-18T04:09:03.137167+00:00"},{"alias_kind":"pith_short_12","alias_value":"BZVG2ZFLE2YG","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"BZVG2ZFLE2YG5F5X","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"BZVG2ZFL","created_at":"2026-05-18T12:25:53.939244+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/BZVG2ZFLE2YG5F5XB5MID6RQEB","json":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB.json","graph_json":"https://pith.science/api/pith-number/BZVG2ZFLE2YG5F5XB5MID6RQEB/graph.json","events_json":"https://pith.science/api/pith-number/BZVG2ZFLE2YG5F5XB5MID6RQEB/events.json","paper":"https://pith.science/paper/BZVG2ZFL"},"agent_actions":{"view_html":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB","download_json":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB.json","view_paper":"https://pith.science/paper/BZVG2ZFL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0605406&json=true","fetch_graph":"https://pith.science/api/pith-number/BZVG2ZFLE2YG5F5XB5MID6RQEB/graph.json","fetch_events":"https://pith.science/api/pith-number/BZVG2ZFLE2YG5F5XB5MID6RQEB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB/action/storage_attestation","attest_author":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB/action/author_attestation","sign_citation":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB/action/citation_signature","submit_replication":"https://pith.science/pith/BZVG2ZFLE2YG5F5XB5MID6RQEB/action/replication_record"}},"created_at":"2026-05-18T04:09:03.137167+00:00","updated_at":"2026-05-18T04:09:03.137167+00:00"}