{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:PYYAAVYJ4DTMHFKQE5L3GAJM2T","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a751e271f763668c94d1fa366bd61d1b23f5927f62b3c8f2f16d27b232d2c7a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-29T05:25:27Z","title_canon_sha256":"faa1a851c90715385d3b1905ee83aca19269280f73c39232e5000c1eecc76b01"},"schema_version":"1.0","source":{"id":"0909.5267","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.5267","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"arxiv_version","alias_value":"0909.5267v6","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.5267","created_at":"2026-05-18T02:24:47Z"},{"alias_kind":"pith_short_12","alias_value":"PYYAAVYJ4DTM","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"PYYAAVYJ4DTMHFKQ","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"PYYAAVYJ","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:ce99d1f3643e6c7c1e344b4e65d990d817d5d3bb0d06e299231eedc60dc4b16b","target":"graph","created_at":"2026-05-18T02:24:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Motivated by the search for quantum liquid crystal phases in a gas of ultracold atoms and molecules, we study the density wave and nematic instabilities of dipolar fermions on the two-dimensional square lattice (in the $x-y$ plane) with dipoles pointing to the $z$ direction. We determine the phase diagram using two complimentary methods, the Hatree-Fock mean field theory and the linear response analysis of compressibility. Both give consistent results. In addition to the staggered ($\\pi$, $\\pi$) density wave, over a finite range of densities and hopping parameters, the ground state of the syst","authors_text":"Chungwei Lin, Erhai Zhao, W. Vincent Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-29T05:25:27Z","title":"Liquid crystal phases of ultracold dipolar fermions on a lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.5267","kind":"arxiv","version":6},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:14a7ad5d5c2a18b3e8d29a29a5e2a3671195e52926ea7b3eca5564110b0b3ef1","target":"record","created_at":"2026-05-18T02:24:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a751e271f763668c94d1fa366bd61d1b23f5927f62b3c8f2f16d27b232d2c7a1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2009-09-29T05:25:27Z","title_canon_sha256":"faa1a851c90715385d3b1905ee83aca19269280f73c39232e5000c1eecc76b01"},"schema_version":"1.0","source":{"id":"0909.5267","kind":"arxiv","version":6}},"canonical_sha256":"7e30005709e0e6c395502757b3012cd4c806032081602ba301ff3178c7255cc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e30005709e0e6c395502757b3012cd4c806032081602ba301ff3178c7255cc8","first_computed_at":"2026-05-18T02:24:47.036331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:47.036331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ru7NTFUFctnt1GklNeesT1/kyop1v0qy9Wl/bDz1rZzSs3vKisBW3a8MunIXPHlFNYfxb2SnduQ6Rtv4j5QOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:47.036981Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.5267","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14a7ad5d5c2a18b3e8d29a29a5e2a3671195e52926ea7b3eca5564110b0b3ef1","sha256:ce99d1f3643e6c7c1e344b4e65d990d817d5d3bb0d06e299231eedc60dc4b16b"],"state_sha256":"55b07f743e60efd23b9cac7c0d980f3321915f72581c9a8249b4da2998dab423"}