{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:FAKSMK2MQ3IPZB5PGX75CT3XDL","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":"41881384c6caa67f074f657775ea6f8c3a06d448f84d503297089812377286fe","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-18T23:00:05Z","title_canon_sha256":"f0445f754f6706da5e5254916ea025a27b68f4a89b92f5644d9721f6551e1046"},"schema_version":"1.0","source":{"id":"hep-th/0211170","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211170","created_at":"2026-07-04T17:25:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211170v2","created_at":"2026-07-04T17:25:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211170","created_at":"2026-07-04T17:25:46Z"},{"alias_kind":"pith_short_12","alias_value":"FAKSMK2MQ3IP","created_at":"2026-07-04T17:25:46Z"},{"alias_kind":"pith_short_16","alias_value":"FAKSMK2MQ3IPZB5P","created_at":"2026-07-04T17:25:46Z"},{"alias_kind":"pith_short_8","alias_value":"FAKSMK2M","created_at":"2026-07-04T17:25:46Z"}],"graph_snapshots":[{"event_id":"sha256:818012d2d0e12fb82c105b37f2e79fad7454f9164f625bb5f7c6a6b6dbbf0c7b","target":"graph","created_at":"2026-07-04T17:25:46Z","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/0211170/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loop equation of a bosonic matrix model. This allows us to solve for the expectation values of the chiral operators as functions of a finite number of ``integration constants.'' From this, we can derive the Dijkgraaf-Vafa relation of the effective superpotential to a matrix model. Some of our results a","authors_text":"Edward Witten, Freddy Cachazo, Michael R. Douglas, Nathan Seiberg","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-11-18T23:00:05Z","title":"Chiral Rings and Anomalies in Supersymmetric Gauge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211170","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:f07156dfb66324bca902c31ad8b671f3a6d734fccc284c62368d0ddf67b6ec8c","target":"record","created_at":"2026-07-04T17:25:46Z","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":"41881384c6caa67f074f657775ea6f8c3a06d448f84d503297089812377286fe","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-18T23:00:05Z","title_canon_sha256":"f0445f754f6706da5e5254916ea025a27b68f4a89b92f5644d9721f6551e1046"},"schema_version":"1.0","source":{"id":"hep-th/0211170","kind":"arxiv","version":2}},"canonical_sha256":"2815262b4c86d0fc87af35ffd14f771afcde99f651244a36baec4a8c42ae5582","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2815262b4c86d0fc87af35ffd14f771afcde99f651244a36baec4a8c42ae5582","first_computed_at":"2026-07-04T17:25:46.069645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:46.069645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kzx0t7NkshKMZ4zRzulh9H7OXreJ8d8AhBADfJQREC42qw72y2H5O6/AHqsb9Z99x/pWj3HUZl2RuFvrJIj8Bg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:46.070047Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0211170","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f07156dfb66324bca902c31ad8b671f3a6d734fccc284c62368d0ddf67b6ec8c","sha256:818012d2d0e12fb82c105b37f2e79fad7454f9164f625bb5f7c6a6b6dbbf0c7b"],"state_sha256":"a53d0ac09ab22fbc3949a7ff25e6d5912dc815851028dceffd97d156c8253537"}