{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OPERDFMPTWY5SJ3IOEGXYD2KB7","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":"8e604bdedf3919e4260d1b66068d425a85e5aafc42934e5e5edf79e392353cf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-11-20T05:14:57Z","title_canon_sha256":"adda1748375bd93ccb1c603cf9ef4bf6ce16e509402714f1707949c682ae47ed"},"schema_version":"1.0","source":{"id":"1711.07149","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07149","created_at":"2026-05-18T00:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07149v1","created_at":"2026-05-18T00:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07149","created_at":"2026-05-18T00:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"OPERDFMPTWY5","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OPERDFMPTWY5SJ3I","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OPERDFMP","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:db713efb668660bb561b22856b6832d5747249be6133b1207f6f3d915c389f06","target":"graph","created_at":"2026-05-18T00:27:41Z","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":"To study exotic excitations described by parafermions in the possible spin liquid states of SU($n$) spin systems, we introduce a parafermion parton approach. The SU($n$) spin operators can be represented by clock and shift matrices, which are shown to be the polynomials of parafermion operators in the parafermion representation. We find that SU($n$) spins can be decomposed into $n$ parafermion matrices of degree one. In this decomposition, the spin has a $\\{\\bigotimes{\\rm SU}(n)\\}^{n-1}$ gauge symmetry. As an application, we study the one-dimensional three-state clock model and generalized Kit","authors_text":"Jian-Xin Li, Shun-Li Yu, Zhao-Yang Dong","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-11-20T05:14:57Z","title":"Projective symmetry group classification of $Z_3$ parafermion spin liquids on a honeycomb lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07149","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":"sha256:7458017c6d9cc8433f5e6962331e1176d274b77e4c5489e6190b84d6f7e97242","target":"record","created_at":"2026-05-18T00:27:41Z","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":"8e604bdedf3919e4260d1b66068d425a85e5aafc42934e5e5edf79e392353cf7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-11-20T05:14:57Z","title_canon_sha256":"adda1748375bd93ccb1c603cf9ef4bf6ce16e509402714f1707949c682ae47ed"},"schema_version":"1.0","source":{"id":"1711.07149","kind":"arxiv","version":1}},"canonical_sha256":"73c911958f9db1d92768710d7c0f4a0fc760fdf2172cdd2c883eaea0de2c9f11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73c911958f9db1d92768710d7c0f4a0fc760fdf2172cdd2c883eaea0de2c9f11","first_computed_at":"2026-05-18T00:27:41.609584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:41.609584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DI4HMuCs268sV3D8ZhpTHF3UeGfCUAcErqmTQZ4HxaNSfwLiDVSdGQE4kphbWgaP2aeFn8eh8AWKzncry1AaCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:41.610183Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07149","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7458017c6d9cc8433f5e6962331e1176d274b77e4c5489e6190b84d6f7e97242","sha256:db713efb668660bb561b22856b6832d5747249be6133b1207f6f3d915c389f06"],"state_sha256":"99b6f00033a2a237ee28475baf3f7b60e2828f264edb3bd367ff5d191d99603f"}