{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:T6RZSTXA7WWF6MKAX4SDF7L55R","short_pith_number":"pith:T6RZSTXA","canonical_record":{"source":{"id":"hep-th/0211100","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T09:10:47Z","cross_cats_sorted":[],"title_canon_sha256":"bb2d8584b897162d51a8f16e253ef84e85b8149684ad5d40b7f27fa4d1a51cfe","abstract_canon_sha256":"82f320f971125206604c3f8ac7ab4bd42f7455390386692655ed2fdd6db4b68b"},"schema_version":"1.0"},"canonical_sha256":"9fa3994ee0fdac5f3140bf2432fd7dec6d59f2e57e4503a04684a067735f1af5","source":{"kind":"arxiv","id":"hep-th/0211100","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211100","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211100v3","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211100","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"pith_short_12","alias_value":"T6RZSTXA7WWF","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"pith_short_16","alias_value":"T6RZSTXA7WWF6MKA","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"pith_short_8","alias_value":"T6RZSTXA","created_at":"2026-07-04T17:21:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:T6RZSTXA7WWF6MKAX4SDF7L55R","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0211100","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T09:10:47Z","cross_cats_sorted":[],"title_canon_sha256":"bb2d8584b897162d51a8f16e253ef84e85b8149684ad5d40b7f27fa4d1a51cfe","abstract_canon_sha256":"82f320f971125206604c3f8ac7ab4bd42f7455390386692655ed2fdd6db4b68b"},"schema_version":"1.0"},"canonical_sha256":"9fa3994ee0fdac5f3140bf2432fd7dec6d59f2e57e4503a04684a067735f1af5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:21:07.806878Z","signature_b64":"3kRuqN3kdX29ud5wHbyEFv2QwYIUBPXlVhwnl9AM37lu9rnkXS+3cnizwt4RZiB5VOg/fcQXJB0UtutJKeP9BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fa3994ee0fdac5f3140bf2432fd7dec6d59f2e57e4503a04684a067735f1af5","last_reissued_at":"2026-07-04T17:21:07.806481Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:21:07.806481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0211100","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:21:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rYOYnocGDTUWgN62b/QgqScVYx67QrXGwqZlXMZscCFXUGK3kcsNtPIDVtn8EscBErp3tcd9WcQAy5bM4jCCCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T01:02:51.837615Z"},"content_sha256":"ec0821bb6ebb91b98893952546fd4bc8bc3004ff13a2811323d37bec20181559","schema_version":"1.0","event_id":"sha256:ec0821bb6ebb91b98893952546fd4bc8bc3004ff13a2811323d37bec20181559"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:T6RZSTXA7WWF6MKAX4SDF7L55R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"${\\cal N}=1$ Theories and a Geometric Master Field","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Allahabad), Rajesh Gopakumar (Harish-Chandra Research Institute","submitted_at":"2002-11-12T09:10:47Z","abstract_excerpt":"We study the large $N$ limit of the class of U(N) ${\\CN}=1$ SUSY gauge theories with an adjoint scalar and a superpotential $W(\\P)$. In each of the vacua of the quantum theory, the expectation values $\\la$Tr$\\Phi^p$$\\ra$ are determined by a master matrix $\\Phi_0$ with eigenvalue distribution $\\rho_{GT}(\\l)$. $\\rho_{GT}(\\l)$ is quite distinct from the eigenvalue distribution $\\rho_{MM}(\\l)$ of the corresponding large $N$ matrix model proposed by Dijkgraaf and Vafa. Nevertheless, it has a simple form on the auxiliary Riemann surface of the matrix model. Thus the underlying geometry of the matrix"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211100","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0211100/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:21:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ThdUbwc6F1Las4/KfZFZ3oakgmqBJ9bwIx3FRmqN/74p2FTEB/Uxrlvqi7D+Q4/7BqOtsWlJ0zQC4tW4X/jlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T01:02:51.837981Z"},"content_sha256":"075831e1650bbc9d8deeb8b8b22fab03452feb4f752b763dcd0f2ee5f891382c","schema_version":"1.0","event_id":"sha256:075831e1650bbc9d8deeb8b8b22fab03452feb4f752b763dcd0f2ee5f891382c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T6RZSTXA7WWF6MKAX4SDF7L55R/bundle.json","state_url":"https://pith.science/pith/T6RZSTXA7WWF6MKAX4SDF7L55R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T6RZSTXA7WWF6MKAX4SDF7L55R/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":"2026-07-05T01:02:51Z","links":{"resolver":"https://pith.science/pith/T6RZSTXA7WWF6MKAX4SDF7L55R","bundle":"https://pith.science/pith/T6RZSTXA7WWF6MKAX4SDF7L55R/bundle.json","state":"https://pith.science/pith/T6RZSTXA7WWF6MKAX4SDF7L55R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T6RZSTXA7WWF6MKAX4SDF7L55R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:T6RZSTXA7WWF6MKAX4SDF7L55R","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":"82f320f971125206604c3f8ac7ab4bd42f7455390386692655ed2fdd6db4b68b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T09:10:47Z","title_canon_sha256":"bb2d8584b897162d51a8f16e253ef84e85b8149684ad5d40b7f27fa4d1a51cfe"},"schema_version":"1.0","source":{"id":"hep-th/0211100","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0211100","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0211100v3","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0211100","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"pith_short_12","alias_value":"T6RZSTXA7WWF","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"pith_short_16","alias_value":"T6RZSTXA7WWF6MKA","created_at":"2026-07-04T17:21:07Z"},{"alias_kind":"pith_short_8","alias_value":"T6RZSTXA","created_at":"2026-07-04T17:21:07Z"}],"graph_snapshots":[{"event_id":"sha256:075831e1650bbc9d8deeb8b8b22fab03452feb4f752b763dcd0f2ee5f891382c","target":"graph","created_at":"2026-07-04T17:21:07Z","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/0211100/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the large $N$ limit of the class of U(N) ${\\CN}=1$ SUSY gauge theories with an adjoint scalar and a superpotential $W(\\P)$. In each of the vacua of the quantum theory, the expectation values $\\la$Tr$\\Phi^p$$\\ra$ are determined by a master matrix $\\Phi_0$ with eigenvalue distribution $\\rho_{GT}(\\l)$. $\\rho_{GT}(\\l)$ is quite distinct from the eigenvalue distribution $\\rho_{MM}(\\l)$ of the corresponding large $N$ matrix model proposed by Dijkgraaf and Vafa. Nevertheless, it has a simple form on the auxiliary Riemann surface of the matrix model. Thus the underlying geometry of the matrix","authors_text":"Allahabad), Rajesh Gopakumar (Harish-Chandra Research Institute","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T09:10:47Z","title":"${\\cal N}=1$ Theories and a Geometric Master Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0211100","kind":"arxiv","version":3},"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:ec0821bb6ebb91b98893952546fd4bc8bc3004ff13a2811323d37bec20181559","target":"record","created_at":"2026-07-04T17:21:07Z","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":"82f320f971125206604c3f8ac7ab4bd42f7455390386692655ed2fdd6db4b68b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-11-12T09:10:47Z","title_canon_sha256":"bb2d8584b897162d51a8f16e253ef84e85b8149684ad5d40b7f27fa4d1a51cfe"},"schema_version":"1.0","source":{"id":"hep-th/0211100","kind":"arxiv","version":3}},"canonical_sha256":"9fa3994ee0fdac5f3140bf2432fd7dec6d59f2e57e4503a04684a067735f1af5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fa3994ee0fdac5f3140bf2432fd7dec6d59f2e57e4503a04684a067735f1af5","first_computed_at":"2026-07-04T17:21:07.806481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:21:07.806481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3kRuqN3kdX29ud5wHbyEFv2QwYIUBPXlVhwnl9AM37lu9rnkXS+3cnizwt4RZiB5VOg/fcQXJB0UtutJKeP9BQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:21:07.806878Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0211100","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec0821bb6ebb91b98893952546fd4bc8bc3004ff13a2811323d37bec20181559","sha256:075831e1650bbc9d8deeb8b8b22fab03452feb4f752b763dcd0f2ee5f891382c"],"state_sha256":"952a46297e24573d5f087e235cbe6afaf39676299a685e344f3b3ff0f6c7b49e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OEpeQH5oalhgbGwGFbDonkpPMZ+nHocZCTxr5fQx1le8dUApTTdtOxoOawXzh2fGLQbJtE30XWH923FKErPOBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T01:02:51.839983Z","bundle_sha256":"99c94636f5f3d77e43dba8d29c0f50bb7d9d3a6f2efe7cca7f339e54dc4403cc"}}