{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:OSHXAMUB75IUSXSEH7VB4GDOXL","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":"56a61f8408e6aed658a4b5a682efa4526be4fee110f0c68b8ebb9d2fc1477a4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-07-22T13:45:59Z","title_canon_sha256":"3faa74e63db85dc88488d8e581bea688e2047f2be965240b0a5843559d02c6b8"},"schema_version":"1.0","source":{"id":"2607.20144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.20144","created_at":"2026-07-23T01:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"2607.20144v1","created_at":"2026-07-23T01:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.20144","created_at":"2026-07-23T01:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"OSHXAMUB75IU","created_at":"2026-07-23T01:25:03Z"},{"alias_kind":"pith_short_16","alias_value":"OSHXAMUB75IUSXSE","created_at":"2026-07-23T01:25:03Z"},{"alias_kind":"pith_short_8","alias_value":"OSHXAMUB","created_at":"2026-07-23T01:25:03Z"}],"graph_snapshots":[{"event_id":"sha256:d5311fd0c2929409203f29182a817e66745fad2df2461d2ea99e641153aaba79","target":"graph","created_at":"2026-07-23T01:25:03Z","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/2607.20144/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For any linear real reductive group or metapletic group, this article gives a geometric classification of special unipotent representations in the weak Arthur/Adams-Barbasch-Vogan (ABV) packets attached to quasi-distinguished nilpotent orbits in the Langlands or metaplectic dual Lie algebra in terms of their associated cycles. We provide a uniform construction of the Harish-Chandra modules of these representations via deformation quantization of admissible vector bundles over certain Lagrangian subvarieties of the affinizations of the universal covers of special nilpotent orbits in question, w","authors_text":"Shilin Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-07-22T13:45:59Z","title":"Special unipotent representations and the coadjoint orbit method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.20144","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":"sha256:20c906fe5789cee521f65f522a229ba9bcfded83d9321bab5c985777428575c2","target":"record","created_at":"2026-07-23T01:25:03Z","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":"56a61f8408e6aed658a4b5a682efa4526be4fee110f0c68b8ebb9d2fc1477a4a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2026-07-22T13:45:59Z","title_canon_sha256":"3faa74e63db85dc88488d8e581bea688e2047f2be965240b0a5843559d02c6b8"},"schema_version":"1.0","source":{"id":"2607.20144","kind":"arxiv","version":1}},"canonical_sha256":"748f703281ff51495e443fea1e186ebacd69ba6f52fbb30dded35f2f4a204c67","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"748f703281ff51495e443fea1e186ebacd69ba6f52fbb30dded35f2f4a204c67","first_computed_at":"2026-07-23T01:25:03.726266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-23T01:25:03.726266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FABvEG6VR+vIbb291pN+a89lstjaYCT/+RI+3gWDN4SqO94O6bpg6pRodmaHVfExs+0yu+Pw0cgslnNGQheiBA==","signature_status":"signed_v1","signed_at":"2026-07-23T01:25:03.727055Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.20144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20c906fe5789cee521f65f522a229ba9bcfded83d9321bab5c985777428575c2","sha256:d5311fd0c2929409203f29182a817e66745fad2df2461d2ea99e641153aaba79"],"state_sha256":"17e80389f0cacbe5bed010a260d58a3824dffdd4ff1398cd1314a1175ae28607"}