{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:WQSKMY7LIVBXJI4HT7L5HSTUJE","short_pith_number":"pith:WQSKMY7L","canonical_record":{"source":{"id":"hep-th/0303032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-03-04T21:00:21Z","cross_cats_sorted":[],"title_canon_sha256":"d7f5b01100942aac97edadc923b34f2ee15a09ce11b4e18dad060495d2d9ef6c","abstract_canon_sha256":"6baa258fc8797f67c7efd2ae5b0be1646a126649510c2fec597ebe5227cb7ea8"},"schema_version":"1.0"},"canonical_sha256":"b424a663eb454374a3879fd7d3ca74490cf515b054731e5113ec0eb6195991f4","source":{"kind":"arxiv","id":"hep-th/0303032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0303032","created_at":"2026-05-18T04:34:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0303032v1","created_at":"2026-05-18T04:34:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0303032","created_at":"2026-05-18T04:34:17Z"},{"alias_kind":"pith_short_12","alias_value":"WQSKMY7LIVBX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WQSKMY7LIVBXJI4H","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WQSKMY7L","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:WQSKMY7LIVBXJI4HT7L5HSTUJE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0303032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-03-04T21:00:21Z","cross_cats_sorted":[],"title_canon_sha256":"d7f5b01100942aac97edadc923b34f2ee15a09ce11b4e18dad060495d2d9ef6c","abstract_canon_sha256":"6baa258fc8797f67c7efd2ae5b0be1646a126649510c2fec597ebe5227cb7ea8"},"schema_version":"1.0"},"canonical_sha256":"b424a663eb454374a3879fd7d3ca74490cf515b054731e5113ec0eb6195991f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:17.174182Z","signature_b64":"U8viIOVeqSc4TKusI3YtgnJ6Mse1wMsNr7VQpJaDZ4F2KC5kw1/yBEw23NJi3WyWSuO3L29v0PDfrRjDtXalCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b424a663eb454374a3879fd7d3ca74490cf515b054731e5113ec0eb6195991f4","last_reissued_at":"2026-05-18T04:34:17.173555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:17.173555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0303032","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:34:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ou8Ux5pl0eMjCAiVhGLskrOKuCwy0eWuRm05odRBWJ7m1fJ7U1lWfloPyDRBH27Y/lvJ+gfHxbOJDUIFxtOjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:33:06.460720Z"},"content_sha256":"3c7cfba3a45ce44ad162c6f94b42e699de3d40db4c19b669f782b5a792fe7e0e","schema_version":"1.0","event_id":"sha256:3c7cfba3a45ce44ad162c6f94b42e699de3d40db4c19b669f782b5a792fe7e0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:WQSKMY7LIVBXJI4HT7L5HSTUJE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constructing Gauge Theory Geometries from Matrix Models","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Klemm, C. I. Lazaroiu, I. Runkel, K. Landsteiner","submitted_at":"2003-03-04T21:00:21Z","abstract_excerpt":"We use the matrix model -- gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N=1 U(N) gauge theory with adjoint and symmetric or anti-symmetric matter, broken by a tree level superpotential to a product subgroup involving U(N_i) and SO(N_i) or Sp(N_i/2) factors. The relevant geometry is encoded by a non-hyperelliptic Riemann surface, which we extract from the exact loop equations. We also show that O(1/N) corrections can be extracted from a logarithmic deformation of this surface. The loop equations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0303032","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:34:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YJ/SC9c7O3YQkYArYrSCLEchkT2Om1VZ7VvtW+xi4j3/7KweRp7JtkUTqGS612EVwKHuok5Bj/jN850B9mxYDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:33:06.461072Z"},"content_sha256":"1d77350abf8172d56882635efa40f697b19348cb6dfd21cd68f5f95afefad35d","schema_version":"1.0","event_id":"sha256:1d77350abf8172d56882635efa40f697b19348cb6dfd21cd68f5f95afefad35d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE/bundle.json","state_url":"https://pith.science/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T10:33:06Z","links":{"resolver":"https://pith.science/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE","bundle":"https://pith.science/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE/bundle.json","state":"https://pith.science/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQSKMY7LIVBXJI4HT7L5HSTUJE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:WQSKMY7LIVBXJI4HT7L5HSTUJE","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":"6baa258fc8797f67c7efd2ae5b0be1646a126649510c2fec597ebe5227cb7ea8","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-03-04T21:00:21Z","title_canon_sha256":"d7f5b01100942aac97edadc923b34f2ee15a09ce11b4e18dad060495d2d9ef6c"},"schema_version":"1.0","source":{"id":"hep-th/0303032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0303032","created_at":"2026-05-18T04:34:17Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0303032v1","created_at":"2026-05-18T04:34:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0303032","created_at":"2026-05-18T04:34:17Z"},{"alias_kind":"pith_short_12","alias_value":"WQSKMY7LIVBX","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"WQSKMY7LIVBXJI4H","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"WQSKMY7L","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:1d77350abf8172d56882635efa40f697b19348cb6dfd21cd68f5f95afefad35d","target":"graph","created_at":"2026-05-18T04:34:17Z","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 use the matrix model -- gauge theory correspondence of Dijkgraaf and Vafa in order to construct the geometry encoding the exact gaugino condensate superpotential for the N=1 U(N) gauge theory with adjoint and symmetric or anti-symmetric matter, broken by a tree level superpotential to a product subgroup involving U(N_i) and SO(N_i) or Sp(N_i/2) factors. The relevant geometry is encoded by a non-hyperelliptic Riemann surface, which we extract from the exact loop equations. We also show that O(1/N) corrections can be extracted from a logarithmic deformation of this surface. The loop equations","authors_text":"A. Klemm, C. I. Lazaroiu, I. Runkel, K. Landsteiner","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-03-04T21:00:21Z","title":"Constructing Gauge Theory Geometries from Matrix Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0303032","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":"sha256:3c7cfba3a45ce44ad162c6f94b42e699de3d40db4c19b669f782b5a792fe7e0e","target":"record","created_at":"2026-05-18T04:34:17Z","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":"6baa258fc8797f67c7efd2ae5b0be1646a126649510c2fec597ebe5227cb7ea8","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2003-03-04T21:00:21Z","title_canon_sha256":"d7f5b01100942aac97edadc923b34f2ee15a09ce11b4e18dad060495d2d9ef6c"},"schema_version":"1.0","source":{"id":"hep-th/0303032","kind":"arxiv","version":1}},"canonical_sha256":"b424a663eb454374a3879fd7d3ca74490cf515b054731e5113ec0eb6195991f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b424a663eb454374a3879fd7d3ca74490cf515b054731e5113ec0eb6195991f4","first_computed_at":"2026-05-18T04:34:17.173555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:17.173555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U8viIOVeqSc4TKusI3YtgnJ6Mse1wMsNr7VQpJaDZ4F2KC5kw1/yBEw23NJi3WyWSuO3L29v0PDfrRjDtXalCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:17.174182Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0303032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c7cfba3a45ce44ad162c6f94b42e699de3d40db4c19b669f782b5a792fe7e0e","sha256:1d77350abf8172d56882635efa40f697b19348cb6dfd21cd68f5f95afefad35d"],"state_sha256":"5bd710d42539561951692d0b26722e8e1643365a6fd3f900601fd7c1f3c10ed9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1SDWyIU5wM8+L+i3wRyqVWmRkVB2AgTTCLs5VU0SBIamMyr1LxlB/Bhp94RYVRdSDQTjKH+5Rzq2iTtc2UC7Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:33:06.463068Z","bundle_sha256":"dd767ebd410710f28e2357d0ad104dd169d0fb766483ecdf0ccc142161ed2625"}}