{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:LPVTZE6TKE7TG745T27ZKM5D7K","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":"16a8acf3721dc7513a8739e4208a27650094fa3060537403f59b1128a964f82f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-04T13:53:00Z","title_canon_sha256":"a0e9074e6aeabad22eecebdf382362a843529b54d146bc713304ae3b44eadafe"},"schema_version":"1.0","source":{"id":"1306.0791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0791","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0791v1","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0791","created_at":"2026-05-18T03:20:08Z"},{"alias_kind":"pith_short_12","alias_value":"LPVTZE6TKE7T","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"LPVTZE6TKE7TG745","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"LPVTZE6T","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:2fd05b40f4433ddfe3ba887193a6a6baece358b11313794733962e45ef7cb0e1","target":"graph","created_at":"2026-05-18T03:20:08Z","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 use exact symmetry properties of the two-dimensional quantum compass model to derive nonequivalent invariant subspaces in the energy spectra of $L\\times L$ clusters up to L=6. The symmetry allows one to reduce the original $L\\times L$ compass cluster to the $(L-1)\\times (L-1)$ one with modified interactions. This step is crucial and enables: (i) exact diagonalization of the $6\\times 6$ quantum compass cluster, and (ii) finding the specific heat for clusters up to L=6, with two characteristic energy scales. We investigate the properties of the ground state and the first excited states and pr","authors_text":"Andrzej M. Ole\\'s, Wojciech Brzezicki","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-04T13:53:00Z","title":"Symmetry properties and spectra of the two-dimensional quantum compass model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0791","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":"sha256:7b96e83d5733f3c691789579d4ec7c0a7b726ff7286d983f73e0e17d8f858b5d","target":"record","created_at":"2026-05-18T03:20:08Z","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":"16a8acf3721dc7513a8739e4208a27650094fa3060537403f59b1128a964f82f","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-04T13:53:00Z","title_canon_sha256":"a0e9074e6aeabad22eecebdf382362a843529b54d146bc713304ae3b44eadafe"},"schema_version":"1.0","source":{"id":"1306.0791","kind":"arxiv","version":1}},"canonical_sha256":"5beb3c93d3513f337f9d9ebf9533a3fab68175bd265c3378ea4be8264d924e80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5beb3c93d3513f337f9d9ebf9533a3fab68175bd265c3378ea4be8264d924e80","first_computed_at":"2026-05-18T03:20:08.860330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:20:08.860330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uutj08PSwfkATA12YNtGKYabTJkZ1jdM73P90D094HnMM60yTPN5Xm++BtzaFp3Y+LdwQbJsXHfT5QKjadq7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:20:08.861027Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b96e83d5733f3c691789579d4ec7c0a7b726ff7286d983f73e0e17d8f858b5d","sha256:2fd05b40f4433ddfe3ba887193a6a6baece358b11313794733962e45ef7cb0e1"],"state_sha256":"75ccdd2b6250a6f3e7291dd13ba8abae0a6f19cf78c6f108ab7be00dd1eadc31"}