{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5CFH46VASYF47UGEU74EUR5E6F","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":"5ed08179427cb899493498fdf9c9e57dff2fed06bb7685563de2a9f0d58999fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-28T10:15:06Z","title_canon_sha256":"6aa02dc30af02c812a10eda0365a8366ba5dc34da535ed4d0e8d727f946cef94"},"schema_version":"1.0","source":{"id":"1310.7361","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7361","created_at":"2026-05-18T01:46:48Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7361v2","created_at":"2026-05-18T01:46:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7361","created_at":"2026-05-18T01:46:48Z"},{"alias_kind":"pith_short_12","alias_value":"5CFH46VASYF4","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5CFH46VASYF47UGE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5CFH46VA","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:018d306454f7085c09f18731a51e2d2b1b44623dee6f8597c8165155522b5386","target":"graph","created_at":"2026-05-18T01:46:48Z","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 clarify some issues concerning the central charges saturated by the extended objects in the SUSY $U(1)$ $4d$ gauge theory in the $\\Omega$-background. The configuration involving the monopole localized at the domain wall is considered in some details. At the rational ratio $\\frac{\\epsilon_1}{\\epsilon_2}=\\frac{p}{q}$ the trajectory of the monopole provides the torus $(p,q)$ knot in the squashed three-sphere. Using the relation between the integrable systems of Calogero type at the rational couplings and the torus knots we interpret this configuration in terms of the auxiliary $2d$ quiver theo","authors_text":"Alexander Gorsky, Ksenia Bulycheva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-28T10:15:06Z","title":"BPS states in the Omega-background and torus knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7361","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":"sha256:349be0287b3c577b5f0601e80046ee483c0c4d0ae025b845aa54275495774def","target":"record","created_at":"2026-05-18T01:46:48Z","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":"5ed08179427cb899493498fdf9c9e57dff2fed06bb7685563de2a9f0d58999fc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-10-28T10:15:06Z","title_canon_sha256":"6aa02dc30af02c812a10eda0365a8366ba5dc34da535ed4d0e8d727f946cef94"},"schema_version":"1.0","source":{"id":"1310.7361","kind":"arxiv","version":2}},"canonical_sha256":"e88a7e7aa0960bcfd0c4a7f84a47a4f1425e8eeeb1d162341b045a82f572ff3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e88a7e7aa0960bcfd0c4a7f84a47a4f1425e8eeeb1d162341b045a82f572ff3c","first_computed_at":"2026-05-18T01:46:48.792416Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:46:48.792416Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6cgzo4hfYvHR0w2qp4AssZ4WRBDckCSt5Zt3X92rG7tY0B6YSZun3CC7v6agLA3ut4H3uEwkiLSJ0Us9FPRtAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:46:48.792883Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7361","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:349be0287b3c577b5f0601e80046ee483c0c4d0ae025b845aa54275495774def","sha256:018d306454f7085c09f18731a51e2d2b1b44623dee6f8597c8165155522b5386"],"state_sha256":"4bc68ef736a483c737e546e56cdad3c583986d41dd783b1d13a636b29878053f"}