{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:34VWIYBVILVQHOBZ6BSFLKHDPZ","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":"4e845eee8cd0c796af82c759f778a8d3b594acc43cb552cf9dd7790de6140019","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T11:10:27Z","title_canon_sha256":"f0790549532e51bf82fa1eec83a6a757c73e1011bff95c8968352bf2f1e909ae"},"schema_version":"1.0","source":{"id":"2508.20663","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.20663","created_at":"2026-06-19T16:09:50Z"},{"alias_kind":"arxiv_version","alias_value":"2508.20663v2","created_at":"2026-06-19T16:09:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.20663","created_at":"2026-06-19T16:09:50Z"},{"alias_kind":"pith_short_12","alias_value":"34VWIYBVILVQ","created_at":"2026-06-19T16:09:50Z"},{"alias_kind":"pith_short_16","alias_value":"34VWIYBVILVQHOBZ","created_at":"2026-06-19T16:09:50Z"},{"alias_kind":"pith_short_8","alias_value":"34VWIYBV","created_at":"2026-06-19T16:09:50Z"}],"graph_snapshots":[{"event_id":"sha256:236cfffb37a5b357ad094eb3c278d80990031d6387cc20833293583f34816ed8","target":"graph","created_at":"2026-06-19T16:09:50Z","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/2508.20663/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We examine the giant graviton expansions of the Higgs indices for the 3d $\\mathcal{N}=4$ $U(N)$ ADHM theories with $l$ fundamental hypermultiplets. The indices for the M5-brane giant gravitons of wrapping number $m$ appearing in the expansions consist of the contributions that generalize the characters of the W-algebra $\\mathcal{W}(\\mathfrak{gl}(m))$ and those which realize the characters of the affine Kac-Moody algebras of type $A_{l-1}$. Also we confirm that the inverse giant graviton expansions of the resulting M5-brane indices consistently reproduce the Higgs indices.","authors_text":"Hirotaka Hayashi, Tadashi Okazaki, Tomoki Nosaka","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T11:10:27Z","title":"Kac-Moody algebras from M5-giants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.20663","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":"sha256:8b0d5a00593a4ec2b8ad72aac84df4c28925940f667f64dfe235586b999f7ec0","target":"record","created_at":"2026-06-19T16:09:50Z","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":"4e845eee8cd0c796af82c759f778a8d3b594acc43cb552cf9dd7790de6140019","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-08-28T11:10:27Z","title_canon_sha256":"f0790549532e51bf82fa1eec83a6a757c73e1011bff95c8968352bf2f1e909ae"},"schema_version":"1.0","source":{"id":"2508.20663","kind":"arxiv","version":2}},"canonical_sha256":"df2b64603542eb03b839f06455a8e37e75c5114c94159d3c66f26e2bc1d797c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df2b64603542eb03b839f06455a8e37e75c5114c94159d3c66f26e2bc1d797c8","first_computed_at":"2026-06-19T16:09:50.640429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:09:50.640429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yqe4V391t2icdbPHX1pWMCyJzkjCnzi/e4Gi/+wpaFY3TQTp/7szOACSY/OaavdhpgS1ddPgJFhXcp1yJRNiBA==","signature_status":"signed_v1","signed_at":"2026-06-19T16:09:50.640847Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.20663","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b0d5a00593a4ec2b8ad72aac84df4c28925940f667f64dfe235586b999f7ec0","sha256:236cfffb37a5b357ad094eb3c278d80990031d6387cc20833293583f34816ed8"],"state_sha256":"de22fe8ceb045ab739d0f576f7a5f7f348d5c5ad396954bc692f6e6406fe3824"}