{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:VUQV7JE67TYIXQYTWZKLZMTVQO","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":"fcb7a4cdaf2dc21e12e9104e1353aa09c6c24a8483545b7821df3e73df081ae4","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2000-12-22T11:17:04Z","title_canon_sha256":"eb1579b15ceadc89d692d1835281ac083180eeebb7de312b124657147da56c4e"},"schema_version":"1.0","source":{"id":"hep-th/0012224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0012224","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0012224v1","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0012224","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_12","alias_value":"VUQV7JE67TYI","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_16","alias_value":"VUQV7JE67TYIXQYT","created_at":"2026-07-04T15:20:56Z"},{"alias_kind":"pith_short_8","alias_value":"VUQV7JE6","created_at":"2026-07-04T15:20:56Z"}],"graph_snapshots":[{"event_id":"sha256:c90b2dcc99a9942634cd87023c9dcd325f1f2123256c192533fb8f26d8a7a101","target":"graph","created_at":"2026-07-04T15:20:56Z","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/hep-th/0012224/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A class of indecomposable representations of U_q(sl_n) is considered for q an even root of unity (q^h = -1) exhibiting a similar structure as (height h) indecomposable lowest weight Kac-Moody modules associated with a chiral conformal field theory. In particular, U_q(sl_n) counterparts of the Bernard-Felder BRS operators are constructed for n=2,3. For n=2 a pair of dual d_2(h) = h dimensional U_q(sl_2) modules gives rise to a 2h-dimensional indecomposable representation including those studied earlier in the context of tensor product expansions of irreducible representations. For n=3 the inter","authors_text":"Ivan Todorov, Ludmil Hadjiivanov, Paolo Furlan","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-12-22T11:17:04Z","title":"Indecomposable U_q(sl_n) modules for q^h = -1 and BRS intertwiners"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0012224","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":"sha256:8a5413944d6c86b0137f443c301002fb3e35bcb750e872becb7ac8d555fd3e24","target":"record","created_at":"2026-07-04T15:20:56Z","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":"fcb7a4cdaf2dc21e12e9104e1353aa09c6c24a8483545b7821df3e73df081ae4","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"","primary_cat":"hep-th","submitted_at":"2000-12-22T11:17:04Z","title_canon_sha256":"eb1579b15ceadc89d692d1835281ac083180eeebb7de312b124657147da56c4e"},"schema_version":"1.0","source":{"id":"hep-th/0012224","kind":"arxiv","version":1}},"canonical_sha256":"ad215fa49efcf08bc313b654bcb27583826b5e638ff07e49426f5d6174d39240","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad215fa49efcf08bc313b654bcb27583826b5e638ff07e49426f5d6174d39240","first_computed_at":"2026-07-04T15:20:56.610328Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:20:56.610328Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ojgAnCVuRWeucNIZT271llNDV9SxeO2giIZ6wFJjYkNWEWoed4nZ4l4FH0GRtrWjBTvH2wyeCITDeI62OAAxDQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:20:56.610648Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0012224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a5413944d6c86b0137f443c301002fb3e35bcb750e872becb7ac8d555fd3e24","sha256:c90b2dcc99a9942634cd87023c9dcd325f1f2123256c192533fb8f26d8a7a101"],"state_sha256":"9459537864cf6b30493b2746c53d63cc94fe8c97de1a62fc420157eece724714"}