{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:CX4POUEPJFWZO7WBEHYOMALAFI","short_pith_number":"pith:CX4POUEP","canonical_record":{"source":{"id":"hep-th/0505119","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-05-13T19:00:25Z","cross_cats_sorted":[],"title_canon_sha256":"dac20fe5669b97aa1c6a501c7074060090e7228aed880553142887d28881bcf9","abstract_canon_sha256":"9589943c605380f755ab63fae65b0712353945fca28d5068fa72b69e96b41320"},"schema_version":"1.0"},"canonical_sha256":"15f8f7508f496d977ec121f0e601602a1fc35ee349ef9c10cbc1d535ab5665ae","source":{"kind":"arxiv","id":"hep-th/0505119","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0505119","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0505119v1","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0505119","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"CX4POUEPJFWZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CX4POUEPJFWZO7WB","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CX4POUEP","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:CX4POUEPJFWZO7WBEHYOMALAFI","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0505119","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-05-13T19:00:25Z","cross_cats_sorted":[],"title_canon_sha256":"dac20fe5669b97aa1c6a501c7074060090e7228aed880553142887d28881bcf9","abstract_canon_sha256":"9589943c605380f755ab63fae65b0712353945fca28d5068fa72b69e96b41320"},"schema_version":"1.0"},"canonical_sha256":"15f8f7508f496d977ec121f0e601602a1fc35ee349ef9c10cbc1d535ab5665ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:10.519623Z","signature_b64":"BYwhyP7zhwDgM2mImoqpc68JESWrXEMlzMwMgOISDa8zanDEcag1qGA65wa0j+Z5shjUfQH48cYCGaFiqq0wDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15f8f7508f496d977ec121f0e601602a1fc35ee349ef9c10cbc1d535ab5665ae","last_reissued_at":"2026-05-18T04:34:10.519105Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:10.519105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0505119","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":"2026-05-18T04:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lpcscSy+BllU6fB1BeuuxUAX3I3QFCnK1hm8bUkM7jdH8e2efro17X6+JGv8i67rGTw+/eefZpBMKKqpuMihDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:56:45.465834Z"},"content_sha256":"258142e338b6ecb5248e8e7158c84d3bc29bb920396725c9654c968926e38571","schema_version":"1.0","event_id":"sha256:258142e338b6ecb5248e8e7158c84d3bc29bb920396725c9654c968926e38571"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:CX4POUEPJFWZO7WBEHYOMALAFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Karl Landsteiner, Sergio Montero","submitted_at":"2005-05-13T19:00:25Z","abstract_excerpt":"We give dual interpretations of Seiberg-Witten and Dijkgraaf-Vafa (or matrix model) curves in n=1 supersymmetric U(N) gauge theory. This duality interchanges the rank of the gauge group with the degree of the superpotential; moreover, the constraint of having at most log-normalizable deformations of the geometry is mapped to a constraint in the number of flavors N_f < N in the dual theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0505119","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":"2026-05-18T04:34:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HvrWUUVaSqzfglgVeT7dRqHq7PpQ0roptFQqkHSuCooXVz1sViZYhDmFKRaliwEKvVF4zdZvQievpLwr5KIBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:56:45.466170Z"},"content_sha256":"567563ade83392e957a308778511f1c10224f3d69c3f6ecbfcd51d789430dcce","schema_version":"1.0","event_id":"sha256:567563ade83392e957a308778511f1c10224f3d69c3f6ecbfcd51d789430dcce"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CX4POUEPJFWZO7WBEHYOMALAFI/bundle.json","state_url":"https://pith.science/pith/CX4POUEPJFWZO7WBEHYOMALAFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CX4POUEPJFWZO7WBEHYOMALAFI/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":"2026-06-05T10:56:45Z","links":{"resolver":"https://pith.science/pith/CX4POUEPJFWZO7WBEHYOMALAFI","bundle":"https://pith.science/pith/CX4POUEPJFWZO7WBEHYOMALAFI/bundle.json","state":"https://pith.science/pith/CX4POUEPJFWZO7WBEHYOMALAFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CX4POUEPJFWZO7WBEHYOMALAFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:CX4POUEPJFWZO7WBEHYOMALAFI","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":"9589943c605380f755ab63fae65b0712353945fca28d5068fa72b69e96b41320","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-05-13T19:00:25Z","title_canon_sha256":"dac20fe5669b97aa1c6a501c7074060090e7228aed880553142887d28881bcf9"},"schema_version":"1.0","source":{"id":"hep-th/0505119","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0505119","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0505119v1","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0505119","created_at":"2026-05-18T04:34:10Z"},{"alias_kind":"pith_short_12","alias_value":"CX4POUEPJFWZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"CX4POUEPJFWZO7WB","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"CX4POUEP","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:567563ade83392e957a308778511f1c10224f3d69c3f6ecbfcd51d789430dcce","target":"graph","created_at":"2026-05-18T04:34:10Z","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 give dual interpretations of Seiberg-Witten and Dijkgraaf-Vafa (or matrix model) curves in n=1 supersymmetric U(N) gauge theory. This duality interchanges the rank of the gauge group with the degree of the superpotential; moreover, the constraint of having at most log-normalizable deformations of the geometry is mapped to a constraint in the number of flavors N_f < N in the dual theory.","authors_text":"Karl Landsteiner, Sergio Montero","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-05-13T19:00:25Z","title":"Dual Interpretations of Seiberg-Witten and Dijkgraaf-Vafa curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0505119","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":"sha256:258142e338b6ecb5248e8e7158c84d3bc29bb920396725c9654c968926e38571","target":"record","created_at":"2026-05-18T04:34:10Z","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":"9589943c605380f755ab63fae65b0712353945fca28d5068fa72b69e96b41320","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-05-13T19:00:25Z","title_canon_sha256":"dac20fe5669b97aa1c6a501c7074060090e7228aed880553142887d28881bcf9"},"schema_version":"1.0","source":{"id":"hep-th/0505119","kind":"arxiv","version":1}},"canonical_sha256":"15f8f7508f496d977ec121f0e601602a1fc35ee349ef9c10cbc1d535ab5665ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15f8f7508f496d977ec121f0e601602a1fc35ee349ef9c10cbc1d535ab5665ae","first_computed_at":"2026-05-18T04:34:10.519105Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:10.519105Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BYwhyP7zhwDgM2mImoqpc68JESWrXEMlzMwMgOISDa8zanDEcag1qGA65wa0j+Z5shjUfQH48cYCGaFiqq0wDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:10.519623Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0505119","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:258142e338b6ecb5248e8e7158c84d3bc29bb920396725c9654c968926e38571","sha256:567563ade83392e957a308778511f1c10224f3d69c3f6ecbfcd51d789430dcce"],"state_sha256":"29f2b5cd754832ee6ada6234e19cd86cd9b2f2e3d532b696d398d4a7a944d6ea"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tan4ixcyrWXyGj+uBkwdh1KDfqiONvX7ELjbBKfC46vslWLCddDoZbshQttn8vtdODESBEatgE7AF2n5/DxkCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:56:45.468459Z","bundle_sha256":"883622a35141d102f70429bdc2290040a555dc71d578f18d64cdb37f44b32147"}}