{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TSC27QD7PQXDCEO2U3MVLLFIFG","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":"bccaff9334a873b6578e1ad70b54c2f48bcc9d1a052945f4548d791c987c51b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-04-01T14:56:56Z","title_canon_sha256":"5c4d11d8367b647e77150d99fcb4e9101fc675edb91c42d48d46c78707523ff8"},"schema_version":"1.0","source":{"id":"1004.0149","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0149","created_at":"2026-05-18T02:24:18Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0149v3","created_at":"2026-05-18T02:24:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0149","created_at":"2026-05-18T02:24:18Z"},{"alias_kind":"pith_short_12","alias_value":"TSC27QD7PQXD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"TSC27QD7PQXDCEO2","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"TSC27QD7","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:373ce616b8484ea8fd7ccbe1d4fe92cc2e910a05514aa3f2439821480d456c36","target":"graph","created_at":"2026-05-18T02:24:18Z","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"},"paper":{"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.","authors_text":"Tobias Pecher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-04-01T14:56:56Z","title":"Classification of skew multiplicity free modules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0149","kind":"arxiv","version":3},"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":"sha256:7b705a9c304286586ccb37a346ee7ba82beda75fc88228544dece2e042b3ec3f","target":"record","created_at":"2026-05-18T02:24:18Z","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":"bccaff9334a873b6578e1ad70b54c2f48bcc9d1a052945f4548d791c987c51b7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-04-01T14:56:56Z","title_canon_sha256":"5c4d11d8367b647e77150d99fcb4e9101fc675edb91c42d48d46c78707523ff8"},"schema_version":"1.0","source":{"id":"1004.0149","kind":"arxiv","version":3}},"canonical_sha256":"9c85afc07f7c2e3111daa6d955aca829901fad4780168f839529e9fbb611c6c8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c85afc07f7c2e3111daa6d955aca829901fad4780168f839529e9fbb611c6c8","first_computed_at":"2026-05-18T02:24:18.192235Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:18.192235Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zPsdPevfhU38HPDLgicptnhvbO8K084lPn9VXdLn8UDAVICYHUMb9q+pIoid/rpxct1QIXbl5fvbkpwVajGaCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:18.192870Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.0149","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b705a9c304286586ccb37a346ee7ba82beda75fc88228544dece2e042b3ec3f","sha256:373ce616b8484ea8fd7ccbe1d4fe92cc2e910a05514aa3f2439821480d456c36"],"state_sha256":"1f995b9adb3c870606fa6e6a748fc363acb561bde66c0809fe7b30a20d25f9c7"}