{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IVVFBKVMPFNUFAOXJ3OMG4OPCG","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":"27421f0dc4020a22f964b525cdea197bf908f51a3199c227f579a5d9004693d3","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-03T08:20:05Z","title_canon_sha256":"c190145922a44e408758814d495c0678c41a598a438693c3d13788a51a49106a"},"schema_version":"1.0","source":{"id":"1101.0465","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0465","created_at":"2026-05-18T04:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0465v1","created_at":"2026-05-18T04:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0465","created_at":"2026-05-18T04:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"IVVFBKVMPFNU","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"IVVFBKVMPFNUFAOX","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"IVVFBKVM","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:e964ff565853013be3ca4bd00cdea7c4ef72aba06a96b54d5adbb6917ddb8e1c","target":"graph","created_at":"2026-05-18T04:21:50Z","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":"We analyze the hard-core Bose-Hubbard model with both the three-body and nearest neighbor repulsions on the triangular lattice. The phase diagram is achieved by means of the semi-classical approximation and the quantum Monte Carlo simulation. For a system with only the three-body interactions, both the supersolid phase and one third solid disappear while the two thirds solid stably exists. As the thermal behavior of the bosons with nearest neighbor repulsion, the solid and the superfluid undergo the 3-state Potts and the Kosterlitz-Thouless type phase transitions, respectively. In a system wit","authors_text":"Xue-Feng Zhang, Yu-Chuan Wen, Yue Yu","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-03T08:20:05Z","title":"Three-body interactions on a triangular lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0465","kind":"arxiv","version":1},"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":"sha256:9367b29c577b7c25691a95697abe467b845c0a581c1dc0da4c2960ae5135e47d","target":"record","created_at":"2026-05-18T04:21:50Z","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":"27421f0dc4020a22f964b525cdea197bf908f51a3199c227f579a5d9004693d3","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.quant-gas","submitted_at":"2011-01-03T08:20:05Z","title_canon_sha256":"c190145922a44e408758814d495c0678c41a598a438693c3d13788a51a49106a"},"schema_version":"1.0","source":{"id":"1101.0465","kind":"arxiv","version":1}},"canonical_sha256":"456a50aaac795b4281d74edcc371cf11b2fb0dd8755fdc44ff5a3cd8cc23f946","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"456a50aaac795b4281d74edcc371cf11b2fb0dd8755fdc44ff5a3cd8cc23f946","first_computed_at":"2026-05-18T04:21:50.532909Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:21:50.532909Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1XWRKDpMFtH+m94WHLiR2l8BrIaym9NhJ1dQC4Xt7eblerCgVqf5PYvFzwZ9njFWyYEXJx/bPH/HYrcGRH0XCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:21:50.533540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0465","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9367b29c577b7c25691a95697abe467b845c0a581c1dc0da4c2960ae5135e47d","sha256:e964ff565853013be3ca4bd00cdea7c4ef72aba06a96b54d5adbb6917ddb8e1c"],"state_sha256":"9e9c571e86cd71793c6ad6a243b8c59b5632c5bbe25070590ec4fa1edf46d4bd"}