{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VSOQSHCLIDJDKV5D6YH2LX27XT","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":"bc3f7ffa2c62c8cc808b8d7e590a107a7f559026e95ef5f4bba4f238bbbe8fbb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2024-02-14T01:27:28Z","title_canon_sha256":"88e4ada1711325958ed9596545fa9a736480285e5f4de48229ee35d778bbf7bd"},"schema_version":"1.0","source":{"id":"2402.08886","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.08886","created_at":"2026-07-05T07:45:04Z"},{"alias_kind":"arxiv_version","alias_value":"2402.08886v1","created_at":"2026-07-05T07:45:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.08886","created_at":"2026-07-05T07:45:04Z"},{"alias_kind":"pith_short_12","alias_value":"VSOQSHCLIDJD","created_at":"2026-07-05T07:45:04Z"},{"alias_kind":"pith_short_16","alias_value":"VSOQSHCLIDJDKV5D","created_at":"2026-07-05T07:45:04Z"},{"alias_kind":"pith_short_8","alias_value":"VSOQSHCL","created_at":"2026-07-05T07:45:04Z"}],"graph_snapshots":[{"event_id":"sha256:e7c2e720ba860aea9c54d16eb76e43b4d2f95088aa0d1626b9aeabe00c8b1f04","target":"graph","created_at":"2026-07-05T07:45:04Z","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/2402.08886/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove a simple formula that calculates the associated variety of a highest weight Harish-Chandra module directly from its highest weight. We also give a formula for the Gelfand--Kirillov dimension of highest weight Harish-Chandra module which is uniform across Cartan types and is valid for arbitrary infinitesimal character.","authors_text":"Markus Hunziker, Roger Zierau, Xun Xie, Zhanqiang Bai","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2024-02-14T01:27:28Z","title":"On the associated variety of a highest weight Harish-Chandra module"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.08886","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":"sha256:6b682261751f2ae2e3fa48d15d7b71a37d41a291541fb558341f1e1fae3e1b74","target":"record","created_at":"2026-07-05T07:45:04Z","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":"bc3f7ffa2c62c8cc808b8d7e590a107a7f559026e95ef5f4bba4f238bbbe8fbb","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RT","submitted_at":"2024-02-14T01:27:28Z","title_canon_sha256":"88e4ada1711325958ed9596545fa9a736480285e5f4de48229ee35d778bbf7bd"},"schema_version":"1.0","source":{"id":"2402.08886","kind":"arxiv","version":1}},"canonical_sha256":"ac9d091c4b40d23557a3f60fa5df5fbcd8a93f58a4885bdfe3e7764ab993f35c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac9d091c4b40d23557a3f60fa5df5fbcd8a93f58a4885bdfe3e7764ab993f35c","first_computed_at":"2026-07-05T07:45:04.262047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:45:04.262047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IOegU5Lm78nQr9/L+VuGlpHdlbjp4BhxFq8y0WS9dMTlTiYa5dz9cKu6z9JfZkEIyDRDt+NLzW8PZbFJ4y5ADw==","signature_status":"signed_v1","signed_at":"2026-07-05T07:45:04.262635Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.08886","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b682261751f2ae2e3fa48d15d7b71a37d41a291541fb558341f1e1fae3e1b74","sha256:e7c2e720ba860aea9c54d16eb76e43b4d2f95088aa0d1626b9aeabe00c8b1f04"],"state_sha256":"66bf0653862f836aa08b8ef724a41249fc214d7888e7f6aba8b73b188feb856c"}