{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:H4U7Z3M4XW5IPQL6PL7NHPO7ST","short_pith_number":"pith:H4U7Z3M4","schema_version":"1.0","canonical_sha256":"3f29fced9cbdba87c17e7afed3bddf94d66048e267a20d7cb691ae8e7ca63483","source":{"kind":"arxiv","id":"cond-mat/9912275","version":1},"attestation_state":"computed","paper":{"title":"Two-dimensional random tilings of large codimension: new progress","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Bailly, M. Widom, N. Destainville, R. Mosseri","submitted_at":"1999-12-15T11:11:30Z","abstract_excerpt":"Two-dimensional random tilings of rhombi can be seen as projections of two-dimensional membranes embedded in hypercubic lattices of higher dimensional spaces. Here, we consider tilings projected from a $D$-dimensional space. We study the limiting case, when the quantity $D$, and therefore the number of different species of tiles, become large. We had previously demonstrated [ICQ6] that, in this limit, the thermodynamic properties of the tiling become independent of the boundary conditions. The exact value of the limiting entropy and finite $D$ corrections remain open questions. Here, we develo"},"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/9912275","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"1999-12-15T11:11:30Z","cross_cats_sorted":[],"title_canon_sha256":"6fe088e1d5bb7dd26d357eb0e148b5ed824369655210c86dd0f07f9d09e1c3fe","abstract_canon_sha256":"679a3d3f7f2aae4d4ae02c522a9ab2938610b061e481ebb18072eb4a191a0f31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:03.876167Z","signature_b64":"CMfe22PxKET2cF8urCL0ZfSIUangCXQRlDyK93J0KwZ9tIvY4KHVfhOrt68iZWJD2g2HVuMTd3eJF21Uh+/7CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f29fced9cbdba87c17e7afed3bddf94d66048e267a20d7cb691ae8e7ca63483","last_reissued_at":"2026-05-18T01:07:03.875409Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:03.875409Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-dimensional random tilings of large codimension: new progress","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Bailly, M. Widom, N. Destainville, R. Mosseri","submitted_at":"1999-12-15T11:11:30Z","abstract_excerpt":"Two-dimensional random tilings of rhombi can be seen as projections of two-dimensional membranes embedded in hypercubic lattices of higher dimensional spaces. Here, we consider tilings projected from a $D$-dimensional space. We study the limiting case, when the quantity $D$, and therefore the number of different species of tiles, become large. We had previously demonstrated [ICQ6] that, in this limit, the thermodynamic properties of the tiling become independent of the boundary conditions. The exact value of the limiting entropy and finite $D$ corrections remain open questions. Here, we develo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9912275","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/9912275","created_at":"2026-05-18T01:07:03.875549+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9912275v1","created_at":"2026-05-18T01:07:03.875549+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9912275","created_at":"2026-05-18T01:07:03.875549+00:00"},{"alias_kind":"pith_short_12","alias_value":"H4U7Z3M4XW5I","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"H4U7Z3M4XW5IPQL6","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"H4U7Z3M4","created_at":"2026-05-18T12:25:49.631198+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/H4U7Z3M4XW5IPQL6PL7NHPO7ST","json":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST.json","graph_json":"https://pith.science/api/pith-number/H4U7Z3M4XW5IPQL6PL7NHPO7ST/graph.json","events_json":"https://pith.science/api/pith-number/H4U7Z3M4XW5IPQL6PL7NHPO7ST/events.json","paper":"https://pith.science/paper/H4U7Z3M4"},"agent_actions":{"view_html":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST","download_json":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST.json","view_paper":"https://pith.science/paper/H4U7Z3M4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/9912275&json=true","fetch_graph":"https://pith.science/api/pith-number/H4U7Z3M4XW5IPQL6PL7NHPO7ST/graph.json","fetch_events":"https://pith.science/api/pith-number/H4U7Z3M4XW5IPQL6PL7NHPO7ST/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST/action/storage_attestation","attest_author":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST/action/author_attestation","sign_citation":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST/action/citation_signature","submit_replication":"https://pith.science/pith/H4U7Z3M4XW5IPQL6PL7NHPO7ST/action/replication_record"}},"created_at":"2026-05-18T01:07:03.875549+00:00","updated_at":"2026-05-18T01:07:03.875549+00:00"}