{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y","short_pith_number":"pith:VAU2BPXG","schema_version":"1.0","canonical_sha256":"a829a0bee6b0bd9d9f5984398bfdece619e97063e0e87b86b9c6f572720c9deb","source":{"kind":"arxiv","id":"cond-mat/0305318","version":3},"attestation_state":"computed","paper":{"title":"Coulomb and Liquid Dimer Models in Three Dimensions","license":"","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"cond-mat.stat-mech","authors_text":"David A. Huse, R. Moessner, S. L. Sondhi, Werner Krauth","submitted_at":"2003-05-14T12:14:16Z","abstract_excerpt":"We study classical hard-core dimer models on three-dimensional lattices using analytical approaches and Monte Carlo simulations. On the bipartite cubic lattice, a local gauge field generalization of the height representation used on the square lattice predicts that the dimers are in a critical Coulomb phase with algebraic, dipolar, correlations, in excellent agreement with our large-scale Monte Carlo simulations. The non-bipartite FCC and Fisher lattices lack such a representation, and we find that these models have both confined and exponentially deconfined but no critical phases. We conjectu"},"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/0305318","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2003-05-14T12:14:16Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.str-el","cond-mat.supr-con"],"title_canon_sha256":"5f8b19b96a556bd555eb6e9352a2d65d00a9115ee69fa763fd6172cdb39cc098","abstract_canon_sha256":"4cbc4bc1c209f847d58be296b8e015cfbfb67e6da827f884629874dbd86d93f6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:06:57.403446Z","signature_b64":"BNaVv9C7C+cNiatlD6wSUQLvoInci/ltfAHP2tSXKSohH3zrghp6w3hYvglHNyjM5d/18oEIkW+75529nXUrCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a829a0bee6b0bd9d9f5984398bfdece619e97063e0e87b86b9c6f572720c9deb","last_reissued_at":"2026-05-18T01:06:57.402688Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:06:57.402688Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coulomb and Liquid Dimer Models in Three Dimensions","license":"","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.str-el","cond-mat.supr-con"],"primary_cat":"cond-mat.stat-mech","authors_text":"David A. Huse, R. Moessner, S. L. Sondhi, Werner Krauth","submitted_at":"2003-05-14T12:14:16Z","abstract_excerpt":"We study classical hard-core dimer models on three-dimensional lattices using analytical approaches and Monte Carlo simulations. On the bipartite cubic lattice, a local gauge field generalization of the height representation used on the square lattice predicts that the dimers are in a critical Coulomb phase with algebraic, dipolar, correlations, in excellent agreement with our large-scale Monte Carlo simulations. The non-bipartite FCC and Fisher lattices lack such a representation, and we find that these models have both confined and exponentially deconfined but no critical phases. We conjectu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0305318","kind":"arxiv","version":3},"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/0305318","created_at":"2026-05-18T01:06:57.402814+00:00"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0305318v3","created_at":"2026-05-18T01:06:57.402814+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0305318","created_at":"2026-05-18T01:06:57.402814+00:00"},{"alias_kind":"pith_short_12","alias_value":"VAU2BPXGWC6Z","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_16","alias_value":"VAU2BPXGWC6Z3H2Z","created_at":"2026-05-18T12:25:52.051335+00:00"},{"alias_kind":"pith_short_8","alias_value":"VAU2BPXG","created_at":"2026-05-18T12:25:52.051335+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/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y","json":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y.json","graph_json":"https://pith.science/api/pith-number/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/graph.json","events_json":"https://pith.science/api/pith-number/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/events.json","paper":"https://pith.science/paper/VAU2BPXG"},"agent_actions":{"view_html":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y","download_json":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y.json","view_paper":"https://pith.science/paper/VAU2BPXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=cond-mat/0305318&json=true","fetch_graph":"https://pith.science/api/pith-number/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/graph.json","fetch_events":"https://pith.science/api/pith-number/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/action/storage_attestation","attest_author":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/action/author_attestation","sign_citation":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/action/citation_signature","submit_replication":"https://pith.science/pith/VAU2BPXGWC6Z3H2ZQQ4YX7PM4Y/action/replication_record"}},"created_at":"2026-05-18T01:06:57.402814+00:00","updated_at":"2026-05-18T01:06:57.402814+00:00"}