{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:UORVY2NQ33DE5R756BKBT4CHTV","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":"a9148b04c136a2769e4dcbfb728a2dbdc50aa507d41e7098c809f85458439958","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-05-14T07:40:51Z","title_canon_sha256":"47ebf08e4bb9dea35149c3721030b8965a2664bd14d6f49fffecbedff25f9ee0"},"schema_version":"1.0","source":{"id":"hep-th/9505075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9505075","created_at":"2026-07-04T15:18:35Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9505075v1","created_at":"2026-07-04T15:18:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9505075","created_at":"2026-07-04T15:18:35Z"},{"alias_kind":"pith_short_12","alias_value":"UORVY2NQ33DE","created_at":"2026-07-04T15:18:35Z"},{"alias_kind":"pith_short_16","alias_value":"UORVY2NQ33DE5R75","created_at":"2026-07-04T15:18:35Z"},{"alias_kind":"pith_short_8","alias_value":"UORVY2NQ","created_at":"2026-07-04T15:18:35Z"}],"graph_snapshots":[{"event_id":"sha256:050053d95c2c6045833d8f626a6f7a365f7a69bfba83e07c28080b83b33ab07b","target":"graph","created_at":"2026-07-04T15:18:35Z","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/hep-th/9505075/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct families of hyper-elliptic curves which describe the quantum moduli spaces of vacua of $N=2$ supersymmetric $SU(N_c)$ gauge theories coupled to $N_f$ flavors of quarks in the fundamental representation. The quantum moduli spaces for $N_f < N_c$ are determined completely by imposing $R$-symmetry, instanton corrections and the proper classical singularity structure. These curves are verified by residue and weak coupling monodromy calculations. The quantum moduli spaces for $N_f\\geq N_c$ theories are parameterized and their general structure is worked out using residue calculations. ","authors_text":"Amihay Hanany, Yaron Oz","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-05-14T07:40:51Z","title":"On the Quantum Moduli Space of Vacua of $N=2$ Supersymmetric $SU(N_c)$ Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9505075","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:ecc2883af9e21dddcd8598b8055f1b011c7f151dfa744fee3c5d3e3427fb5964","target":"record","created_at":"2026-07-04T15:18:35Z","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":"a9148b04c136a2769e4dcbfb728a2dbdc50aa507d41e7098c809f85458439958","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-05-14T07:40:51Z","title_canon_sha256":"47ebf08e4bb9dea35149c3721030b8965a2664bd14d6f49fffecbedff25f9ee0"},"schema_version":"1.0","source":{"id":"hep-th/9505075","kind":"arxiv","version":1}},"canonical_sha256":"a3a35c69b0dec64ec7fdf05419f0479d5db4bbb94d60afa73a185bda7d41e209","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3a35c69b0dec64ec7fdf05419f0479d5db4bbb94d60afa73a185bda7d41e209","first_computed_at":"2026-07-04T15:18:35.873487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:18:35.873487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zKwo7U1cITtBbFim1P5LdpoByF/iZvvGZ+he44Eh+Zut6jMbd4UhEyikzBQUGmBtiepnUXmHLCU25/ycZf98Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:18:35.873876Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9505075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ecc2883af9e21dddcd8598b8055f1b011c7f151dfa744fee3c5d3e3427fb5964","sha256:050053d95c2c6045833d8f626a6f7a365f7a69bfba83e07c28080b83b33ab07b"],"state_sha256":"ba92094c6e0917adeb57369f19cbe6fef198370fb204d7141147627f8f3ba423"}