{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:4YUN5JYOFJ535OSIQLT5BREE6W","short_pith_number":"pith:4YUN5JYO","canonical_record":{"source":{"id":"hep-th/9611090","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T21:09:09Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b04d8009b04ab56a342361a6adab05a18dd7748732933c9f7a4c5bc3795d46cf","abstract_canon_sha256":"2204588494e20799de904a5f11889d3bee532b5c39cbd3dd5f02a14cf0101532"},"schema_version":"1.0"},"canonical_sha256":"e628dea70e2a7bbeba4882e7d0c484f5862d1b6a07c2e2b762543e290cb4f875","source":{"kind":"arxiv","id":"hep-th/9611090","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9611090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9611090v1","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9611090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"4YUN5JYOFJ53","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4YUN5JYOFJ535OSI","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4YUN5JYO","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:4YUN5JYOFJ535OSIQLT5BREE6W","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9611090","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T21:09:09Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"b04d8009b04ab56a342361a6adab05a18dd7748732933c9f7a4c5bc3795d46cf","abstract_canon_sha256":"2204588494e20799de904a5f11889d3bee532b5c39cbd3dd5f02a14cf0101532"},"schema_version":"1.0"},"canonical_sha256":"e628dea70e2a7bbeba4882e7d0c484f5862d1b6a07c2e2b762543e290cb4f875","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:56.578335Z","signature_b64":"vzEAt8VQfNogZmIHiexFhPWWMBnr6iUniOG5WvKG5/0+j3NR2W/u/bOdF5aK5A0HBnGO7CIX/DhRSzUTXXFbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e628dea70e2a7bbeba4882e7d0c484f5862d1b6a07c2e2b762543e290cb4f875","last_reissued_at":"2026-05-18T01:05:56.577748Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:56.577748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9611090","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":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nk8ctvD722ktuGm4nZ8e6/b0jYc1wfwzbzW9Uzn4f5zMs4ojUl2TzITZLL4Hf9A9vT5AoQdLCegnCBBuZJhxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:32:58.306709Z"},"content_sha256":"aaaa60b35ca4f75035c274c82b86279f25200e6292576dd1de0d68cd3382c59b","schema_version":"1.0","event_id":"sha256:aaaa60b35ca4f75035c274c82b86279f25200e6292576dd1de0d68cd3382c59b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:4YUN5JYOFJ535OSIQLT5BREE6W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometric Engineering of N=1 Quantum Field Theories","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Cumrun Vafa, Sheldon Katz","submitted_at":"1996-11-12T21:09:09Z","abstract_excerpt":"We construct local geometric model in terms of F- and M-theory compactification on Calabi-Yau fourfolds which lead to N=1 Yang-Mills theory in d=4 and its reduction on a circle to d=3. We compute the superpotential in d=3, as a function of radius, which is generated by the Euclidean 5-brane instantons. The superpotential turns out to be the same as the potential for affine Toda theories. In the limit of vanishing radius the affine Toda potential reduces to the Toda potential."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9611090","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":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"alKIEn1pEeJ6X/iG109LHwrFP9rF95FqGxya3PvtwSdDL5hJRG9xuiHZPYsC5KXay+CSlSm7+QymrgKBewttAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:32:58.307256Z"},"content_sha256":"1cc1936d126a664ee6b91631b63ff83186e117a659ab7597666c19933b3ee3e9","schema_version":"1.0","event_id":"sha256:1cc1936d126a664ee6b91631b63ff83186e117a659ab7597666c19933b3ee3e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4YUN5JYOFJ535OSIQLT5BREE6W/bundle.json","state_url":"https://pith.science/pith/4YUN5JYOFJ535OSIQLT5BREE6W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4YUN5JYOFJ535OSIQLT5BREE6W/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":"2026-05-29T14:32:58Z","links":{"resolver":"https://pith.science/pith/4YUN5JYOFJ535OSIQLT5BREE6W","bundle":"https://pith.science/pith/4YUN5JYOFJ535OSIQLT5BREE6W/bundle.json","state":"https://pith.science/pith/4YUN5JYOFJ535OSIQLT5BREE6W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4YUN5JYOFJ535OSIQLT5BREE6W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:4YUN5JYOFJ535OSIQLT5BREE6W","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":"2204588494e20799de904a5f11889d3bee532b5c39cbd3dd5f02a14cf0101532","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T21:09:09Z","title_canon_sha256":"b04d8009b04ab56a342361a6adab05a18dd7748732933c9f7a4c5bc3795d46cf"},"schema_version":"1.0","source":{"id":"hep-th/9611090","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9611090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9611090v1","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9611090","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"4YUN5JYOFJ53","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4YUN5JYOFJ535OSI","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4YUN5JYO","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:1cc1936d126a664ee6b91631b63ff83186e117a659ab7597666c19933b3ee3e9","target":"graph","created_at":"2026-05-18T01:05:56Z","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 construct local geometric model in terms of F- and M-theory compactification on Calabi-Yau fourfolds which lead to N=1 Yang-Mills theory in d=4 and its reduction on a circle to d=3. We compute the superpotential in d=3, as a function of radius, which is generated by the Euclidean 5-brane instantons. The superpotential turns out to be the same as the potential for affine Toda theories. In the limit of vanishing radius the affine Toda potential reduces to the Toda potential.","authors_text":"Cumrun Vafa, Sheldon Katz","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T21:09:09Z","title":"Geometric Engineering of N=1 Quantum Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9611090","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:aaaa60b35ca4f75035c274c82b86279f25200e6292576dd1de0d68cd3382c59b","target":"record","created_at":"2026-05-18T01:05:56Z","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":"2204588494e20799de904a5f11889d3bee532b5c39cbd3dd5f02a14cf0101532","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"hep-th","submitted_at":"1996-11-12T21:09:09Z","title_canon_sha256":"b04d8009b04ab56a342361a6adab05a18dd7748732933c9f7a4c5bc3795d46cf"},"schema_version":"1.0","source":{"id":"hep-th/9611090","kind":"arxiv","version":1}},"canonical_sha256":"e628dea70e2a7bbeba4882e7d0c484f5862d1b6a07c2e2b762543e290cb4f875","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e628dea70e2a7bbeba4882e7d0c484f5862d1b6a07c2e2b762543e290cb4f875","first_computed_at":"2026-05-18T01:05:56.577748Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:56.577748Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzEAt8VQfNogZmIHiexFhPWWMBnr6iUniOG5WvKG5/0+j3NR2W/u/bOdF5aK5A0HBnGO7CIX/DhRSzUTXXFbBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:56.578335Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9611090","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaaa60b35ca4f75035c274c82b86279f25200e6292576dd1de0d68cd3382c59b","sha256:1cc1936d126a664ee6b91631b63ff83186e117a659ab7597666c19933b3ee3e9"],"state_sha256":"6c4cb231760f959f0c41e63b6ea2bd102d30f2c0cc40bf2d352c047a12eea211"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"enBmFDpc0DHNUgE99o3WLlD3c2+1OFmwlF5QEShNpEpj3qS7nm3lhUmuf6SMz+7DQ60YUQsp15yhrMCiztszAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:32:58.309739Z","bundle_sha256":"cf20d17fe0a851d142f192b3f5648da6a3705cd6f91ebbb60e046231ecc2a22f"}}