{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:26O4RAUX5B2PAWEZ5OBY7BPGCH","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":"1fade9ac4e6acc786cf68b1e95789b4c9d6fa861740e3394913c9ad8d3ef954c","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-05-10T17:15:23Z","title_canon_sha256":"733a4f01d3088420dfaba14d0345eac9bc30feeeeed434728428f20176290e7f"},"schema_version":"1.0","source":{"id":"1705.03859","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03859","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03859v1","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03859","created_at":"2026-05-18T00:44:42Z"},{"alias_kind":"pith_short_12","alias_value":"26O4RAUX5B2P","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"26O4RAUX5B2PAWEZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"26O4RAUX","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:640420f9523d52d8598ad85f9578c220ffa4e8fcf2725fe0d67eaa202adf503b","target":"graph","created_at":"2026-05-18T00:44:42Z","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":"The category of finite dimensional module over the quantum superalgebra U_q(sl(2|1)) is not semi-simple and the quantum dimension of a generic U_q(sl(2|1))-module vanishes. This vanishing happens for any value of q (even when q is not a root of unity). These properties make it difficult to create a fusion or modular category. Loosely speaking, the standard way to obtain such a category from a quantum group is: 1) specialize q to a root of unity; this forces some modules to have zero quantum dimension, 2) quotient by morphisms of modules with zero quantum dimension, 3) show the resulting catego","authors_text":"Cristina Ana-Maria Anghel, Nathan Geer","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-05-10T17:15:23Z","title":"Modified Turaev-Viro Invariants from quantum sl(2|1)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03859","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:ba07617220b7b01e002590c544b33c86ecb8f4afcfaf73b97955ed99426cf266","target":"record","created_at":"2026-05-18T00:44:42Z","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":"1fade9ac4e6acc786cf68b1e95789b4c9d6fa861740e3394913c9ad8d3ef954c","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-05-10T17:15:23Z","title_canon_sha256":"733a4f01d3088420dfaba14d0345eac9bc30feeeeed434728428f20176290e7f"},"schema_version":"1.0","source":{"id":"1705.03859","kind":"arxiv","version":1}},"canonical_sha256":"d79dc88297e874f05899eb838f85e611ec5bcc3da8550572edec31413b246ab1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d79dc88297e874f05899eb838f85e611ec5bcc3da8550572edec31413b246ab1","first_computed_at":"2026-05-18T00:44:42.922908Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:42.922908Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x3rjZKxsHZpJYhNFHGxBNNDRQexRQ3ePBlZR4CeE8WjISzzsd65n4CU+F5IY2F2/7BaemsugRma9iXl6AwOUBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:42.923391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03859","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ba07617220b7b01e002590c544b33c86ecb8f4afcfaf73b97955ed99426cf266","sha256:640420f9523d52d8598ad85f9578c220ffa4e8fcf2725fe0d67eaa202adf503b"],"state_sha256":"b681630b2df7369b57e0a49de55ea323758af9e07aa1fbb96efb1d47d360431e"}