{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:APTJO5X6EXBQZRHSQCAON7QQDM","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":"024b96843073f70ebde01d45051cb35a4e75471c8c0898300687ec3557c3b12f","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-10-29T17:55:57Z","title_canon_sha256":"144028e0b0057958d7ea72daf55959127d2ee4c92cb96c5809d28bbee39ba0f5"},"schema_version":"1.0","source":{"id":"0910.5695","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.5695","created_at":"2026-05-18T04:15:59Z"},{"alias_kind":"arxiv_version","alias_value":"0910.5695v2","created_at":"2026-05-18T04:15:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.5695","created_at":"2026-05-18T04:15:59Z"},{"alias_kind":"pith_short_12","alias_value":"APTJO5X6EXBQ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"APTJO5X6EXBQZRHS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"APTJO5X6","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:b7b201ab908c448f6070eee7eaa8b305f96beffeb061cd5e36a39b1e17521b94","target":"graph","created_at":"2026-05-18T04:15:59Z","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":"Recently P. Deligne introduced the tensor category Rep(S_t) (for t not necessarily an integer) which in a certain precise sense interpolates the categories Rep(S_d) of representations of the symmetric groups S_d. In this paper we describe the blocks of Deligne's category Rep(S_t).","authors_text":"Jonathan Comes, Victor Ostrik","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-10-29T17:55:57Z","title":"On blocks of Deligne's category Rep(S_t)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5695","kind":"arxiv","version":2},"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":"sha256:6eda9068da502f03d44251c37877acf9e73106656915f05ec01a25619c29e6dc","target":"record","created_at":"2026-05-18T04:15:59Z","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":"024b96843073f70ebde01d45051cb35a4e75471c8c0898300687ec3557c3b12f","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2009-10-29T17:55:57Z","title_canon_sha256":"144028e0b0057958d7ea72daf55959127d2ee4c92cb96c5809d28bbee39ba0f5"},"schema_version":"1.0","source":{"id":"0910.5695","kind":"arxiv","version":2}},"canonical_sha256":"03e69776fe25c30cc4f28080e6fe101b006c2876b7fb66990f12c16b93feb0fa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03e69776fe25c30cc4f28080e6fe101b006c2876b7fb66990f12c16b93feb0fa","first_computed_at":"2026-05-18T04:15:59.699922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:59.699922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QGudf+J3Zi3NrbY/HjhNpm1M3BFTnYjtGDkrBgmaf9GTgqzxM6hK/6GYUVO0mY9zkAIf1KFJZ5YGDToSiTucBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:59.700878Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.5695","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6eda9068da502f03d44251c37877acf9e73106656915f05ec01a25619c29e6dc","sha256:b7b201ab908c448f6070eee7eaa8b305f96beffeb061cd5e36a39b1e17521b94"],"state_sha256":"88475f1c55a65d09916ab49b91a4a31692007e07c4a71b36d02869139371351e"}