{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TSC27QD7PQXDCEO2U3MVLLFIFG","short_pith_number":"pith:TSC27QD7","schema_version":"1.0","canonical_sha256":"9c85afc07f7c2e3111daa6d955aca829901fad4780168f839529e9fbb611c6c8","source":{"kind":"arxiv","id":"1004.0149","version":3},"attestation_state":"computed","paper":{"title":"Classification of skew multiplicity free modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Tobias Pecher","submitted_at":"2010-04-01T14:56:56Z","abstract_excerpt":"Let $G$ be a connected reductive group defined over $\\CC$ with a finite dimensional representation $V$. The action of $G$ is said to be skew multiplicity-free (SMF) if the exterior algebra $\\bigwedge V$ contains no irreducible representation of $G$ with multiplicity $> 1$. In this paper we classify all such representations."},"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":"1004.0149","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-04-01T14:56:56Z","cross_cats_sorted":[],"title_canon_sha256":"5c4d11d8367b647e77150d99fcb4e9101fc675edb91c42d48d46c78707523ff8","abstract_canon_sha256":"bccaff9334a873b6578e1ad70b54c2f48bcc9d1a052945f4548d791c987c51b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:18.192870Z","signature_b64":"zPsdPevfhU38HPDLgicptnhvbO8K084lPn9VXdLn8UDAVICYHUMb9q+pIoid/rpxct1QIXbl5fvbkpwVajGaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c85afc07f7c2e3111daa6d955aca829901fad4780168f839529e9fbb611c6c8","last_reissued_at":"2026-05-18T02:24:18.192235Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:18.192235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Classification of skew multiplicity free modules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Tobias Pecher","submitted_at":"2010-04-01T14:56:56Z","abstract_excerpt":"Let $G$ be a connected reductive group defined over $\\CC$ with a finite dimensional representation $V$. The action of $G$ is said to be skew multiplicity-free (SMF) if the exterior algebra $\\bigwedge V$ contains no irreducible representation of $G$ with multiplicity $> 1$. In this paper we classify all such representations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0149","kind":"arxiv","version":3},"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":"1004.0149","created_at":"2026-05-18T02:24:18.192326+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.0149v3","created_at":"2026-05-18T02:24:18.192326+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0149","created_at":"2026-05-18T02:24:18.192326+00:00"},{"alias_kind":"pith_short_12","alias_value":"TSC27QD7PQXD","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"TSC27QD7PQXDCEO2","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"TSC27QD7","created_at":"2026-05-18T12:26:15.391820+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/TSC27QD7PQXDCEO2U3MVLLFIFG","json":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG.json","graph_json":"https://pith.science/api/pith-number/TSC27QD7PQXDCEO2U3MVLLFIFG/graph.json","events_json":"https://pith.science/api/pith-number/TSC27QD7PQXDCEO2U3MVLLFIFG/events.json","paper":"https://pith.science/paper/TSC27QD7"},"agent_actions":{"view_html":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG","download_json":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG.json","view_paper":"https://pith.science/paper/TSC27QD7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.0149&json=true","fetch_graph":"https://pith.science/api/pith-number/TSC27QD7PQXDCEO2U3MVLLFIFG/graph.json","fetch_events":"https://pith.science/api/pith-number/TSC27QD7PQXDCEO2U3MVLLFIFG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG/action/storage_attestation","attest_author":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG/action/author_attestation","sign_citation":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG/action/citation_signature","submit_replication":"https://pith.science/pith/TSC27QD7PQXDCEO2U3MVLLFIFG/action/replication_record"}},"created_at":"2026-05-18T02:24:18.192326+00:00","updated_at":"2026-05-18T02:24:18.192326+00:00"}