{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:U4OASM6IXNXZVVAHBXPAUFGHMB","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":"3cad4423f9f9a7a031f33ff21859684cb1597fe4c129a0add0bd827a483d24b7","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-01T15:53:04Z","title_canon_sha256":"0f632d145fb8dbef428e70b34fba6de8e4b1849168f235472c86ac71a1ad6c52"},"schema_version":"1.0","source":{"id":"2302.00525","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.00525","created_at":"2026-07-05T06:46:21Z"},{"alias_kind":"arxiv_version","alias_value":"2302.00525v2","created_at":"2026-07-05T06:46:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.00525","created_at":"2026-07-05T06:46:21Z"},{"alias_kind":"pith_short_12","alias_value":"U4OASM6IXNXZ","created_at":"2026-07-05T06:46:21Z"},{"alias_kind":"pith_short_16","alias_value":"U4OASM6IXNXZVVAH","created_at":"2026-07-05T06:46:21Z"},{"alias_kind":"pith_short_8","alias_value":"U4OASM6I","created_at":"2026-07-05T06:46:21Z"}],"graph_snapshots":[{"event_id":"sha256:90f8267dbbf49d7cd2a8039747484358d6bfe20732fe429eb75c02336e6d76ae","target":"graph","created_at":"2026-07-05T06:46:21Z","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/2302.00525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d $\\mathcal{N} = 1$ pure Yang-Mills theories with BCD-type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO(n) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters.","authors_text":"Kilar Zhang, Rui-Dong Zhu, Satoshi Nawata","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-01T15:53:04Z","title":"ABCD of qq-characters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.00525","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:be1f9869cebb53b727c395c00f6a7a43528b0c39cb4fea92eb8fff4df5df901a","target":"record","created_at":"2026-07-05T06:46:21Z","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":"3cad4423f9f9a7a031f33ff21859684cb1597fe4c129a0add0bd827a483d24b7","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-02-01T15:53:04Z","title_canon_sha256":"0f632d145fb8dbef428e70b34fba6de8e4b1849168f235472c86ac71a1ad6c52"},"schema_version":"1.0","source":{"id":"2302.00525","kind":"arxiv","version":2}},"canonical_sha256":"a71c0933c8bb6f9ad4070dde0a14c760734c34e9b3bd3b201cb8f6f1877c755b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a71c0933c8bb6f9ad4070dde0a14c760734c34e9b3bd3b201cb8f6f1877c755b","first_computed_at":"2026-07-05T06:46:21.296046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:21.296046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cQ40wZ+2s3AIpLuXNIwcW4jsTNOUep89YfOeQ0eWaBdDCTd+bit3L//snTfNsKi4T8iMiW9Oi3AUacrHIb4gDw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:21.296547Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.00525","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be1f9869cebb53b727c395c00f6a7a43528b0c39cb4fea92eb8fff4df5df901a","sha256:90f8267dbbf49d7cd2a8039747484358d6bfe20732fe429eb75c02336e6d76ae"],"state_sha256":"e4ba09b2e606c9d3dc68120779f1e035b7756a7dae9427faad19cafd9693459e"}