{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:RYVMRQAV2O7MQ3URS7KA36IJPH","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":"a9ff6e7c904169bfec5f9b82643632b2758f68f68a95f3408a4912a95da4a2ad","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-06-21T15:08:12Z","title_canon_sha256":"307e27866a633b59121a38ff3cc672e4420b4524743095f7f744a8d93e700caf"},"schema_version":"1.0","source":{"id":"2306.12324","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2306.12324","created_at":"2026-07-05T06:52:05Z"},{"alias_kind":"arxiv_version","alias_value":"2306.12324v2","created_at":"2026-07-05T06:52:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2306.12324","created_at":"2026-07-05T06:52:05Z"},{"alias_kind":"pith_short_12","alias_value":"RYVMRQAV2O7M","created_at":"2026-07-05T06:52:05Z"},{"alias_kind":"pith_short_16","alias_value":"RYVMRQAV2O7MQ3UR","created_at":"2026-07-05T06:52:05Z"},{"alias_kind":"pith_short_8","alias_value":"RYVMRQAV","created_at":"2026-07-05T06:52:05Z"}],"graph_snapshots":[{"event_id":"sha256:4cf1a234655198f05d5b5f2f95ab0d3e44eb190db81e374dd0067b9a988251eb","target":"graph","created_at":"2026-07-05T06:52:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2306.12324/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study $\\mathrm{SU}(3)$ Yang-Mills theory in $(2+1)$ dimensions based on networks of Wilson lines. With the help of the $q$ deformation, networks respect the (discretized) $\\mathrm{SU}(3)$ gauge symmetry as a quantum group, i.e., $\\mathrm{SU}(3)_k$, and may enable implementations of $\\mathrm{SU}(3)$ Yang-Mills theory in quantum and classical algorithms by referring to those of the stringnet model. As a demonstration, we perform a mean-field computation of the groundstate of $\\mathrm{SU}(3)_k$ Yang-Mills theory, which is in good agreement with the conventional Monte Carlo simulation by taking","authors_text":"Tomoya Hayata, Yoshimasa Hidaka","cross_cats":["cond-mat.quant-gas","cond-mat.str-el","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-06-21T15:08:12Z","title":"$q$ deformed formulation of Hamiltonian SU(3) Yang-Mills theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2306.12324","kind":"arxiv","version":2},"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":"sha256:6355a636b5921dc1f6aec4f59baa4c6552f435927b58b977b37759c3166230ba","target":"record","created_at":"2026-07-05T06:52:05Z","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":"a9ff6e7c904169bfec5f9b82643632b2758f68f68a95f3408a4912a95da4a2ad","cross_cats_sorted":["cond-mat.quant-gas","cond-mat.str-el","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2023-06-21T15:08:12Z","title_canon_sha256":"307e27866a633b59121a38ff3cc672e4420b4524743095f7f744a8d93e700caf"},"schema_version":"1.0","source":{"id":"2306.12324","kind":"arxiv","version":2}},"canonical_sha256":"8e2ac8c015d3bec86e9197d40df90979f4f36bb331047a5ee3bd34606717a82a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8e2ac8c015d3bec86e9197d40df90979f4f36bb331047a5ee3bd34606717a82a","first_computed_at":"2026-07-05T06:52:05.071540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:52:05.071540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KDiR3eMVMM6zhtVHp9vCH3MpMy/JeV6ZURl5L8ABJvvDGPn+i+znrDgO2e8y/tyIFBaw0hyxdMyYoByPLlQxCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:52:05.072005Z","signed_message":"canonical_sha256_bytes"},"source_id":"2306.12324","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6355a636b5921dc1f6aec4f59baa4c6552f435927b58b977b37759c3166230ba","sha256:4cf1a234655198f05d5b5f2f95ab0d3e44eb190db81e374dd0067b9a988251eb"],"state_sha256":"3aecd9d2dbfde3bea60851a86eff8af76b98444af933cc4920529d380fb99d75"}