{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MVGI3JARDLZLCHF23KHJXMAIV2","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":"ccb85f013bfec8d4aaf7c3e3fb32f8284aea4ebb8e635e06953651d45137c2f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-06-20T18:00:00Z","title_canon_sha256":"dfcc9f29b3e00ebe6db013e9b7e111464c874b1b738c7de8c038fca5f87922e0"},"schema_version":"1.0","source":{"id":"2506.17384","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.17384","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"2506.17384v1","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.17384","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"MVGI3JARDLZL","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"pith_short_16","alias_value":"MVGI3JARDLZLCHF2","created_at":"2026-06-10T14:10:43Z"},{"alias_kind":"pith_short_8","alias_value":"MVGI3JAR","created_at":"2026-06-10T14:10:43Z"}],"graph_snapshots":[{"event_id":"sha256:8213214c9183023f5bcce1e18f0c344adfdeecf3078e75666b7e74131a3451ef","target":"graph","created_at":"2026-06-10T14:10:43Z","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/2506.17384/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, an intriguing correspondence was conjectured in arXiv:2409.11551 between Schur half-indices of pure 4d $SU(2)$ $\\mathcal{N}=2$ supersymmetric Yang-Mills (SYM) theory with line operator insertions and partition functions of the double scaling limit of the Sachdev-Ye-Kitaev model (DSSYK). Motivated by this, we explore a generalization to $SU(N)$ $\\mathcal{N}=2$ SYM theories. We begin by deriving the algebra of line operators, $\\mathcal{A}_{\\text{Schur}}$, representing it both in terms of the $\\mathfrak{q}$-Weyl algebra and $\\mathfrak{q}$-deformed harmonic oscillators, respectively. In ","authors_text":"Mark Mezei, Matteo Sacchi, Oscar Lewis, Sakura Schafer-Nameki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-06-20T18:00:00Z","title":"Schur Connections: Chord Counting, Line Operators, and Indices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.17384","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:b9ea4a93ea0bd408033e90b30b9ca716ec2754d1961b290f68f981e4b9d450f1","target":"record","created_at":"2026-06-10T14:10:43Z","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":"ccb85f013bfec8d4aaf7c3e3fb32f8284aea4ebb8e635e06953651d45137c2f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-06-20T18:00:00Z","title_canon_sha256":"dfcc9f29b3e00ebe6db013e9b7e111464c874b1b738c7de8c038fca5f87922e0"},"schema_version":"1.0","source":{"id":"2506.17384","kind":"arxiv","version":1}},"canonical_sha256":"654c8da4111af2b11cbada8e9bb008ae82e33ba46d77d24a214fa7c587ff7ac0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"654c8da4111af2b11cbada8e9bb008ae82e33ba46d77d24a214fa7c587ff7ac0","first_computed_at":"2026-06-10T14:10:43.178983Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T14:10:43.178983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YODH+9LgRdXy2SlMpnI8oXaVr/h4MYiGrR+hqCCCSEK4bxqPKbplszQrSzgowrX2SULq3zD2qIYeTPAPWlxHBQ==","signature_status":"signed_v1","signed_at":"2026-06-10T14:10:43.179891Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.17384","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9ea4a93ea0bd408033e90b30b9ca716ec2754d1961b290f68f981e4b9d450f1","sha256:8213214c9183023f5bcce1e18f0c344adfdeecf3078e75666b7e74131a3451ef"],"state_sha256":"84042a4ad3cf2cd9e57b98da22f32469c69b16c2ed91444dd836c7b5302ad37c"}