{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SHDXIV7DCHVCEK4Q3QOTSHSJV2","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":"79bfafeed802714becc77271d258cde5cee0c7512c3d4d459eca698a7aaabd5b","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-14T18:17:15Z","title_canon_sha256":"1de1230b8586cbff75ffc0b026c6b69538f1ff2f0edbe830e21a109690736a5c"},"schema_version":"1.0","source":{"id":"1712.05377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.05377","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"arxiv_version","alias_value":"1712.05377v1","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.05377","created_at":"2026-05-18T00:18:52Z"},{"alias_kind":"pith_short_12","alias_value":"SHDXIV7DCHVC","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SHDXIV7DCHVCEK4Q","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SHDXIV7D","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:2acdd1cc7903ffa38fa931f0149a92b35adc29926a476d1b874ab844bafd7afa","target":"graph","created_at":"2026-05-18T00:18:52Z","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":"We examine the topological order in the resonating singlet valence plaquette (RSVP) phase of the hard-core quantum plaquette model (QPM) on the face centered cubic (FCC) lattice. To do this, we construct a Rohksar-Kivelson type Hamiltonian of local plaquette resonances. This model is shown to exhibit a $\\mathbb{Z}_3$ topological order, which we show by identifying a $\\mathbb{Z}_3$ topological constant (which leads to a $3^3$-fold topological ground state degeneracy on the $3$-torus) and topological point-like charge and loop-like magnetic excitations which obey $\\mathbb{Z}_3$ statistics. We al","authors_text":"Trithep Devakul","cross_cats":["cond-mat.stat-mech","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-14T18:17:15Z","title":"$\\mathbb{Z}_3$ Topological Order in Face Centered Cubic Quantum Plaquette Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.05377","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":"sha256:4bbfa4520defcaa82e8d9afba46826e229db89fe08d0462e71391d55e9c4d9e0","target":"record","created_at":"2026-05-18T00:18:52Z","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":"79bfafeed802714becc77271d258cde5cee0c7512c3d4d459eca698a7aaabd5b","cross_cats_sorted":["cond-mat.stat-mech","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-12-14T18:17:15Z","title_canon_sha256":"1de1230b8586cbff75ffc0b026c6b69538f1ff2f0edbe830e21a109690736a5c"},"schema_version":"1.0","source":{"id":"1712.05377","kind":"arxiv","version":1}},"canonical_sha256":"91c77457e311ea222b90dc1d391e49ae84396374111d0c1972aa4a7c8caa29e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"91c77457e311ea222b90dc1d391e49ae84396374111d0c1972aa4a7c8caa29e3","first_computed_at":"2026-05-18T00:18:52.683919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:52.683919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6YKjESkP4ACdpY0Cn/ferfWOi3h9Ho/V4mhbkfGZcH6ICJoL2K5EXwLu8uW9Nb+nIq36hxSIJVfEE3YYjPk1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:52.684437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.05377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4bbfa4520defcaa82e8d9afba46826e229db89fe08d0462e71391d55e9c4d9e0","sha256:2acdd1cc7903ffa38fa931f0149a92b35adc29926a476d1b874ab844bafd7afa"],"state_sha256":"563db30a23fead2ff78a3a45705d2446b459d8364e664e9c07088e280dbecd46"}