{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:6RTAOLO723CNZK5BG2GNPRYWWM","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":"602374c62238df7727cf1205c3fa50e7c527a3f070e71086e14dbdc9737556a7","cross_cats_sorted":["math.GT","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-19T19:00:30Z","title_canon_sha256":"15330fb5b77cfee2296c06209db5b839db6ce6dab0514f2ed37d0687728c1ea7"},"schema_version":"1.0","source":{"id":"2002.08382","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2002.08382","created_at":"2026-07-05T01:46:14Z"},{"alias_kind":"arxiv_version","alias_value":"2002.08382v1","created_at":"2026-07-05T01:46:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2002.08382","created_at":"2026-07-05T01:46:14Z"},{"alias_kind":"pith_short_12","alias_value":"6RTAOLO723CN","created_at":"2026-07-05T01:46:14Z"},{"alias_kind":"pith_short_16","alias_value":"6RTAOLO723CNZK5B","created_at":"2026-07-05T01:46:14Z"},{"alias_kind":"pith_short_8","alias_value":"6RTAOLO7","created_at":"2026-07-05T01:46:14Z"}],"graph_snapshots":[{"event_id":"sha256:0262d58f64fb8ac09ae015f273bf5153b7262c5fdf279d27b87a14b4cb1f29f9","target":"graph","created_at":"2026-07-05T01:46:14Z","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/2002.08382/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the $q$-nonabelianization map, which maps links $L$ in a 3-manifold $M$ to links $\\widetilde{L}$ in a branched $N$-fold cover $\\widetilde{M}$. In quantum field theory terms, $q$-nonabelianization is the UV-IR map relating two different sorts of defect: in the UV we have the six-dimensional $(2,0)$ superconformal field theory of type $\\mathfrak{gl}(N)$ on $M \\times \\mathbb{R}^{2,1}$, and we consider surface defects placed on $L \\times \\{x^4 = x^5 = 0\\}$; in the IR we have the $(2,0)$ theory of type $\\mathfrak{gl}(1)$ on $\\widetilde{M} \\times \\mathbb{R}^{2,1}$, and put the defects on","authors_text":"Andrew Neitzke, Fei Yan","cross_cats":["math.GT","math.QA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-19T19:00:30Z","title":"$q$-nonabelianization for line defects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2002.08382","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":"sha256:9e88ed0d36cd9201ffd227631c3af3cb42b93762621bd671e81d4375beecd50a","target":"record","created_at":"2026-07-05T01:46:14Z","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":"602374c62238df7727cf1205c3fa50e7c527a3f070e71086e14dbdc9737556a7","cross_cats_sorted":["math.GT","math.QA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-02-19T19:00:30Z","title_canon_sha256":"15330fb5b77cfee2296c06209db5b839db6ce6dab0514f2ed37d0687728c1ea7"},"schema_version":"1.0","source":{"id":"2002.08382","kind":"arxiv","version":1}},"canonical_sha256":"f466072ddfd6c4dcaba1368cd7c716b305d1cedda50b2ae79a46828800d78157","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f466072ddfd6c4dcaba1368cd7c716b305d1cedda50b2ae79a46828800d78157","first_computed_at":"2026-07-05T01:46:14.726890Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:46:14.726890Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sx56R/AXcjA7ZLyqTcJm/KgwCRKQo6O7ToDwRmyQUozQ1falvZQVIxzWij4+hQ0NTI/gx7C2d3HdvjIxY+GVDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:46:14.727274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2002.08382","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e88ed0d36cd9201ffd227631c3af3cb42b93762621bd671e81d4375beecd50a","sha256:0262d58f64fb8ac09ae015f273bf5153b7262c5fdf279d27b87a14b4cb1f29f9"],"state_sha256":"a57515852e05c555514775b7cf5f0361354e0c60fc98539c17128cb56cb9a584"}