{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ST5YVAHVFMRXFGUAFJI42KVXLU","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":"26ea89606d0f10762956775b6fed7e68c3a18cfa3931edc90ed50be31e3146f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-03T11:22:21Z","title_canon_sha256":"053d1cde2130a549afbc4670328e447a54b5d438e24625edbcf0cd6017dae17d"},"schema_version":"1.0","source":{"id":"1410.0822","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0822","created_at":"2026-05-18T01:41:52Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0822v1","created_at":"2026-05-18T01:41:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0822","created_at":"2026-05-18T01:41:52Z"},{"alias_kind":"pith_short_12","alias_value":"ST5YVAHVFMRX","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"ST5YVAHVFMRXFGUA","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"ST5YVAHV","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:fe169085e2f1e8ca2a7b4d3b642e894e41c779306c869df19250e0d25deb10f3","target":"graph","created_at":"2026-05-18T01:41:52Z","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":"Using Monte Carlo simulations and finite-size scaling, we study three-state Potts antiferromagnet on layered square lattice with two and four layers $L_z=2$ and $4$. As temperature decreases, the system develops quasi-long-range order via a Berezinskii-Kosterlitz-Thouless transition at finite temperature $T_{c1}$. For $L_z=4$, as temperature is further lowered, a long-range order breaking the $Z_6$ symmetry develops at a second transition at $T_{c2} < T_{c1}$. The transition at $T_{c2}$ is also Berezinskii-Kosterlitz-Thouless-like, but has magnetic critical exponent $\\eta=1/9$ instead of the c","authors_text":"Chengxiang Ding, Wenan Guo, Youjin Deng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-03T11:22:21Z","title":"Reentrance of Berezinskii-Kosterlitz-Thouless-like transitions in three-state Potts antiferromagnetic thin film"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0822","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":"sha256:6ba88ce4d2f1f506d52f5af20ddca4860dd112bfa411bfa8993a22af2b61c541","target":"record","created_at":"2026-05-18T01:41:52Z","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":"26ea89606d0f10762956775b6fed7e68c3a18cfa3931edc90ed50be31e3146f7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-10-03T11:22:21Z","title_canon_sha256":"053d1cde2130a549afbc4670328e447a54b5d438e24625edbcf0cd6017dae17d"},"schema_version":"1.0","source":{"id":"1410.0822","kind":"arxiv","version":1}},"canonical_sha256":"94fb8a80f52b23729a802a51cd2ab75d2528fe11b2c60ff445ce0393e9ddb089","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94fb8a80f52b23729a802a51cd2ab75d2528fe11b2c60ff445ce0393e9ddb089","first_computed_at":"2026-05-18T01:41:52.867287Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:52.867287Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dZmT3oOfSRpHczg/z67k6Ny8Ww+ZMU4gorMWCjdc8wy1Rhn4UeC427yNGhqOD4Nrz5RsJOkEyqAn3ULYNlR0Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:52.867797Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0822","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ba88ce4d2f1f506d52f5af20ddca4860dd112bfa411bfa8993a22af2b61c541","sha256:fe169085e2f1e8ca2a7b4d3b642e894e41c779306c869df19250e0d25deb10f3"],"state_sha256":"67082a37b93b880001bd951744cda250eff9380334c4b72b7b83cd8bb9a34e83"}