{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:RW5D5JIPQPVVFRUNIATZ5XAHNF","short_pith_number":"pith:RW5D5JIP","schema_version":"1.0","canonical_sha256":"8dba3ea50f83eb52c68d40279edc07697584a7e54721879d05fc87f99b7e137b","source":{"kind":"arxiv","id":"1806.07770","version":1},"attestation_state":"computed","paper":{"title":"Unitarity of Unipotent Representations of Sp(p,q) and SO*(2n)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dan M. Barbasch, Peter E. Trapa","submitted_at":"2018-06-20T14:41:53Z","abstract_excerpt":"The purpose of this paper is to define a set of representations of Sp(p,q) and SO*(2n), the unipotent representations of the title, and establish their unitarity. The unipotent representations considered here properly contain the special unipotent representations of Arthur and Barbasch-Vogan; in particular we settle the unitarity of special unipotent representations for these groups."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1806.07770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2018-06-20T14:41:53Z","cross_cats_sorted":[],"title_canon_sha256":"a745cd0d88c67ecd0dac6fa02ac63e116866c6b8ec2e74909c094d0ab40cad75","abstract_canon_sha256":"6e825ad3c4a4a369034bcf79e2cf9468202d3ac802a900faa937ef8e6a341be0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:46.723886Z","signature_b64":"g+N4Ejihp/igFthLwWDm63p6ApQf6nnUC3h1TlgqrhCLuYoS2JIOTGQdYkkffqRMbWfHJZ8ietsQiAwROL9pCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dba3ea50f83eb52c68d40279edc07697584a7e54721879d05fc87f99b7e137b","last_reissued_at":"2026-05-18T00:12:46.723078Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:46.723078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unitarity of Unipotent Representations of Sp(p,q) and SO*(2n)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Dan M. Barbasch, Peter E. Trapa","submitted_at":"2018-06-20T14:41:53Z","abstract_excerpt":"The purpose of this paper is to define a set of representations of Sp(p,q) and SO*(2n), the unipotent representations of the title, and establish their unitarity. The unipotent representations considered here properly contain the special unipotent representations of Arthur and Barbasch-Vogan; in particular we settle the unitarity of special unipotent representations for these groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.07770","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1806.07770","created_at":"2026-05-18T00:12:46.723206+00:00"},{"alias_kind":"arxiv_version","alias_value":"1806.07770v1","created_at":"2026-05-18T00:12:46.723206+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.07770","created_at":"2026-05-18T00:12:46.723206+00:00"},{"alias_kind":"pith_short_12","alias_value":"RW5D5JIPQPVV","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_16","alias_value":"RW5D5JIPQPVVFRUN","created_at":"2026-05-18T12:32:50.500415+00:00"},{"alias_kind":"pith_short_8","alias_value":"RW5D5JIP","created_at":"2026-05-18T12:32:50.500415+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF","json":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF.json","graph_json":"https://pith.science/api/pith-number/RW5D5JIPQPVVFRUNIATZ5XAHNF/graph.json","events_json":"https://pith.science/api/pith-number/RW5D5JIPQPVVFRUNIATZ5XAHNF/events.json","paper":"https://pith.science/paper/RW5D5JIP"},"agent_actions":{"view_html":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF","download_json":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF.json","view_paper":"https://pith.science/paper/RW5D5JIP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1806.07770&json=true","fetch_graph":"https://pith.science/api/pith-number/RW5D5JIPQPVVFRUNIATZ5XAHNF/graph.json","fetch_events":"https://pith.science/api/pith-number/RW5D5JIPQPVVFRUNIATZ5XAHNF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF/action/storage_attestation","attest_author":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF/action/author_attestation","sign_citation":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF/action/citation_signature","submit_replication":"https://pith.science/pith/RW5D5JIPQPVVFRUNIATZ5XAHNF/action/replication_record"}},"created_at":"2026-05-18T00:12:46.723206+00:00","updated_at":"2026-05-18T00:12:46.723206+00:00"}