{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3VCG7HW2BN57AH3GFJSGUOQ3QW","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":"7e2a84a53d2313ce1fb18336f6936d9e4dc905275158682595a31e40ab2c9d70","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-16T20:03:38Z","title_canon_sha256":"8e067fb39cfd0dd8abb32b95b085cfd843c6d8c52381302ea29e95aa02905055"},"schema_version":"1.0","source":{"id":"1603.05258","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.05258","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"arxiv_version","alias_value":"1603.05258v2","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.05258","created_at":"2026-05-18T01:08:11Z"},{"alias_kind":"pith_short_12","alias_value":"3VCG7HW2BN57","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3VCG7HW2BN57AH3G","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3VCG7HW2","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:d0b98ab58882aeb1bd86897a9ceda6d9e2c89d4bbe16c37383eb550bf9057c69","target":"graph","created_at":"2026-05-18T01:08:11Z","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":"We propose a method for determining the spins of BPS states supported on line defects in 4d $\\mathcal{N}=2$ theories of class S. Via the 2d-4d correspondence, this translates to the construction of quantum holonomies on a punctured Riemann surface $\\mathcal{C}$. Our approach combines the technology of spectral networks, which decomposes flat $GL(K,\\mathbb{C})$-connections on $\\mathcal{C}$ in terms of flat abelian connections on a $K$-fold cover of $\\mathcal{C}$, and the skein algebra in the 3-manifold $\\mathcal{C}\\times [0,1]$, which expresses the representation theory of the quantum group $U_","authors_text":"Maxime Gabella","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-16T20:03:38Z","title":"Quantum Holonomies from Spectral Networks and Framed BPS States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.05258","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":"sha256:22ae6b855238526eeac4ed5d2e30138104896735284179363d753842f8421c30","target":"record","created_at":"2026-05-18T01:08:11Z","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":"7e2a84a53d2313ce1fb18336f6936d9e4dc905275158682595a31e40ab2c9d70","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-16T20:03:38Z","title_canon_sha256":"8e067fb39cfd0dd8abb32b95b085cfd843c6d8c52381302ea29e95aa02905055"},"schema_version":"1.0","source":{"id":"1603.05258","kind":"arxiv","version":2}},"canonical_sha256":"dd446f9eda0b7bf01f662a646a3a1b85a684376f35306e2e715b9111fa8e67de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd446f9eda0b7bf01f662a646a3a1b85a684376f35306e2e715b9111fa8e67de","first_computed_at":"2026-05-18T01:08:11.560309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:11.560309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HQr2nQ35WexA/5+Ze2eBoTWnUE/n0LGkvbwbkpa8d0N7kTrriTg0a4yGGZRjEvkYi1qxGvYC+gXwid+N1TwrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:11.560803Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.05258","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22ae6b855238526eeac4ed5d2e30138104896735284179363d753842f8421c30","sha256:d0b98ab58882aeb1bd86897a9ceda6d9e2c89d4bbe16c37383eb550bf9057c69"],"state_sha256":"f3ee3251ed76ddd9bab2026acb1a2c8cee47232e91fcb113dafe94b710303815"}