{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7KBICRCUTKCT7XAVIMMKYHM2J4","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":"190c14aaffad30e424199a4a51c5dfd849d681a3e615a302214c883c34bc1917","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-11T14:17:10Z","title_canon_sha256":"7126d2d75f069b803494f46b76515d7f95e7a8444291a1ec82d93a5eeef54f3c"},"schema_version":"1.0","source":{"id":"2606.13388","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.13388","created_at":"2026-06-12T01:09:59Z"},{"alias_kind":"arxiv_version","alias_value":"2606.13388v1","created_at":"2026-06-12T01:09:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.13388","created_at":"2026-06-12T01:09:59Z"},{"alias_kind":"pith_short_12","alias_value":"7KBICRCUTKCT","created_at":"2026-06-12T01:09:59Z"},{"alias_kind":"pith_short_16","alias_value":"7KBICRCUTKCT7XAV","created_at":"2026-06-12T01:09:59Z"},{"alias_kind":"pith_short_8","alias_value":"7KBICRCU","created_at":"2026-06-12T01:09:59Z"}],"graph_snapshots":[{"event_id":"sha256:f4c6792ee844051abaa191ccdbec2b28db233260e21098ee4fb04fee03f1be01","target":"graph","created_at":"2026-06-12T01:09:59Z","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/2606.13388/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study Yang-Mills theory coupled to a particle on a cylinder, where gauge invariance and compactness reduce the dynamics to a finite dimensional quantum system. In the Abelian case, this yields a model equivalent to the Landau problem on a torus, with a degenerate ground state structure. We generalize this construction to non-Abelian gauge groups and show that, for SU(N), the system reduces to a one dimensional quantum many body problem with a singular Calogero-Sutherland-type interaction.","authors_text":"Amilcar R. Queiroz, Marcia Tenser","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-11T14:17:10Z","title":"From 2D Yang-Mills to Calogero-Sutherland via a colored particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.13388","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":"sha256:5e4d3c3fad613ee7e46cafebb8829dfe7f5c0bb8915eb73ec99e4eec836bcc9c","target":"record","created_at":"2026-06-12T01:09:59Z","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":"190c14aaffad30e424199a4a51c5dfd849d681a3e615a302214c883c34bc1917","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-11T14:17:10Z","title_canon_sha256":"7126d2d75f069b803494f46b76515d7f95e7a8444291a1ec82d93a5eeef54f3c"},"schema_version":"1.0","source":{"id":"2606.13388","kind":"arxiv","version":1}},"canonical_sha256":"fa828144549a853fdc154318ac1d9a4f24a142c1881f277ccce523d7b443a49d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa828144549a853fdc154318ac1d9a4f24a142c1881f277ccce523d7b443a49d","first_computed_at":"2026-06-12T01:09:59.284881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T01:09:59.284881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8DXi4129MGDE7YJQ80/PMhAnvjO5eFkKim3Ddg1XgpuKzlTHKxjPT2pcPEIwSseCN9mIhWmDzz8rgOQiEEjeBg==","signature_status":"signed_v1","signed_at":"2026-06-12T01:09:59.285698Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.13388","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e4d3c3fad613ee7e46cafebb8829dfe7f5c0bb8915eb73ec99e4eec836bcc9c","sha256:f4c6792ee844051abaa191ccdbec2b28db233260e21098ee4fb04fee03f1be01"],"state_sha256":"14bcb7889850cd48374074977f3d7a412ee5364361c490b13f4bb6698ccf56bf"}