{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:LPVTZE6TKE7TG745T27ZKM5D7K","short_pith_number":"pith:LPVTZE6T","schema_version":"1.0","canonical_sha256":"5beb3c93d3513f337f9d9ebf9533a3fab68175bd265c3378ea4be8264d924e80","source":{"kind":"arxiv","id":"1306.0791","version":1},"attestation_state":"computed","paper":{"title":"Symmetry properties and spectra of the two-dimensional quantum compass model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Andrzej M. Ole\\'s, Wojciech Brzezicki","submitted_at":"2013-06-04T13:53:00Z","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"},"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":"1306.0791","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-06-04T13:53:00Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"a0e9074e6aeabad22eecebdf382362a843529b54d146bc713304ae3b44eadafe","abstract_canon_sha256":"16a8acf3721dc7513a8739e4208a27650094fa3060537403f59b1128a964f82f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:20:08.861027Z","signature_b64":"uutj08PSwfkATA12YNtGKYabTJkZ1jdM73P90D094HnMM60yTPN5Xm++BtzaFp3Y+LdwQbJsXHfT5QKjadq7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5beb3c93d3513f337f9d9ebf9533a3fab68175bd265c3378ea4be8264d924e80","last_reissued_at":"2026-05-18T03:20:08.860330Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:20:08.860330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry properties and spectra of the two-dimensional quantum compass model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Andrzej M. Ole\\'s, Wojciech Brzezicki","submitted_at":"2013-06-04T13:53:00Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0791","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":"1306.0791","created_at":"2026-05-18T03:20:08.860442+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.0791v1","created_at":"2026-05-18T03:20:08.860442+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0791","created_at":"2026-05-18T03:20:08.860442+00:00"},{"alias_kind":"pith_short_12","alias_value":"LPVTZE6TKE7T","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_16","alias_value":"LPVTZE6TKE7TG745","created_at":"2026-05-18T12:27:51.066281+00:00"},{"alias_kind":"pith_short_8","alias_value":"LPVTZE6T","created_at":"2026-05-18T12:27:51.066281+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/LPVTZE6TKE7TG745T27ZKM5D7K","json":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K.json","graph_json":"https://pith.science/api/pith-number/LPVTZE6TKE7TG745T27ZKM5D7K/graph.json","events_json":"https://pith.science/api/pith-number/LPVTZE6TKE7TG745T27ZKM5D7K/events.json","paper":"https://pith.science/paper/LPVTZE6T"},"agent_actions":{"view_html":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K","download_json":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K.json","view_paper":"https://pith.science/paper/LPVTZE6T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.0791&json=true","fetch_graph":"https://pith.science/api/pith-number/LPVTZE6TKE7TG745T27ZKM5D7K/graph.json","fetch_events":"https://pith.science/api/pith-number/LPVTZE6TKE7TG745T27ZKM5D7K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K/action/storage_attestation","attest_author":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K/action/author_attestation","sign_citation":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K/action/citation_signature","submit_replication":"https://pith.science/pith/LPVTZE6TKE7TG745T27ZKM5D7K/action/replication_record"}},"created_at":"2026-05-18T03:20:08.860442+00:00","updated_at":"2026-05-18T03:20:08.860442+00:00"}