{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FGZE7C5WFEIQ2GPC4CMEIARNVI","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":"495074a612d1c92e7badc13eb6587f042adb8e4dbcdd9276f4c25d576181e09d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-07T07:32:40Z","title_canon_sha256":"d7bbb2919cbad826b586ce18c3714c9d5344b8dddd1a3776cf70194845b2100e"},"schema_version":"1.0","source":{"id":"1908.02470","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02470","created_at":"2026-07-04T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02470v1","created_at":"2026-07-04T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02470","created_at":"2026-07-04T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"FGZE7C5WFEIQ","created_at":"2026-07-04T23:52:09Z"},{"alias_kind":"pith_short_16","alias_value":"FGZE7C5WFEIQ2GPC","created_at":"2026-07-04T23:52:09Z"},{"alias_kind":"pith_short_8","alias_value":"FGZE7C5W","created_at":"2026-07-04T23:52:09Z"}],"graph_snapshots":[{"event_id":"sha256:1b31d138caafe98240521eaca69ec0d998d82ab04aebf41bfea99ce2f6ed4c3f","target":"graph","created_at":"2026-07-04T23:52:09Z","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/1908.02470/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the partition functions of BPS vortices and magnetic monopole operators, in gauge theories describing $N$ M2-branes. In particular, we explore two closely related methods to study the Cardy limit of the index on $S^2\\times\\mathbb{R}$. The first method uses the factorization of this index to vortex partition functions, while the second one uses a continuum approximation for the monopole charge sums. Monopole condensation confines most of the $N^2$ degrees of freedom except $N^{\\frac{3}{2}}$ of them, even in the high temperature deconfined phase. The resulting large $N$ free energy stat","authors_text":"Chiung Hwang, Seok Kim, Sunjin Choi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-07T07:32:40Z","title":"Quantum vortices, M2-branes and black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02470","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:c246bc1d47eec4c7a2ac91ec864778ce1289e7f11671a4c8f8b7cc4f77926434","target":"record","created_at":"2026-07-04T23:52:09Z","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":"495074a612d1c92e7badc13eb6587f042adb8e4dbcdd9276f4c25d576181e09d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-07T07:32:40Z","title_canon_sha256":"d7bbb2919cbad826b586ce18c3714c9d5344b8dddd1a3776cf70194845b2100e"},"schema_version":"1.0","source":{"id":"1908.02470","kind":"arxiv","version":1}},"canonical_sha256":"29b24f8bb629110d19e2e09844022daa0ace5c9e30212cfe710bd21dcbd15137","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29b24f8bb629110d19e2e09844022daa0ace5c9e30212cfe710bd21dcbd15137","first_computed_at":"2026-07-04T23:52:09.258076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:09.258076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gnhC6gvwkF72FftjWiJiiKLk6MGF2jHTpdCOhwdMPxVi+Ub4hxh4mw1SxBNM9mEqL8CiGPITkDy53phdytF0BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:09.258520Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02470","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c246bc1d47eec4c7a2ac91ec864778ce1289e7f11671a4c8f8b7cc4f77926434","sha256:1b31d138caafe98240521eaca69ec0d998d82ab04aebf41bfea99ce2f6ed4c3f"],"state_sha256":"68c79664d2100364b70821204ed1dca88932d290d4ba2c1e2350ba6186d8e973"}