{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:A472CRJXINBKIOVNF2LHM34765","short_pith_number":"pith:A472CRJX","canonical_record":{"source":{"id":"hep-th/9703167","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-03-24T22:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"9f02aacb5355ff200e979371d10a1a914e5a58b27dc7b921d2b1d33cf4104033","abstract_canon_sha256":"661cdddb5e706a3c3d0dff11ed817f1c49c3a7e2404ebdad521ad07077d96248"},"schema_version":"1.0"},"canonical_sha256":"073fa145374342a43aad2e96766f9ff76110aae924d463a396af20d5bb92ede0","source":{"kind":"arxiv","id":"hep-th/9703167","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9703167","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703167v2","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703167","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"A472CRJXINBK","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"pith_short_16","alias_value":"A472CRJXINBKIOVN","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"pith_short_8","alias_value":"A472CRJX","created_at":"2026-07-04T15:08:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:A472CRJXINBKIOVNF2LHM34765","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9703167","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-03-24T22:48:56Z","cross_cats_sorted":[],"title_canon_sha256":"9f02aacb5355ff200e979371d10a1a914e5a58b27dc7b921d2b1d33cf4104033","abstract_canon_sha256":"661cdddb5e706a3c3d0dff11ed817f1c49c3a7e2404ebdad521ad07077d96248"},"schema_version":"1.0"},"canonical_sha256":"073fa145374342a43aad2e96766f9ff76110aae924d463a396af20d5bb92ede0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:08:15.984038Z","signature_b64":"fELdsIZqyWOFOKoRdPlYa/6E5RxeP5CzIhl/vyGdbti8+mUWjEpuufZM5LYZeAo/rm3AuibsqTmcp/0gAUCADg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"073fa145374342a43aad2e96766f9ff76110aae924d463a396af20d5bb92ede0","last_reissued_at":"2026-07-04T15:08:15.983692Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:08:15.983692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9703167","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:08:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aOuoR9VMdA/H1b6pB994OPb+7QlfHzlk1Ix8+tIFQTMYM6suM5yHyePw+PVWS2MYDZ/IvBitACXNUR1DXCo7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T18:22:01.022755Z"},"content_sha256":"7591d566322f6e09bdec96fb5d51ca2c5e324edb855fe1e8f68102dd11048e96","schema_version":"1.0","event_id":"sha256:7591d566322f6e09bdec96fb5d51ca2c5e324edb855fe1e8f68102dd11048e96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:A472CRJXINBKIOVNF2LHM34765","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cumrun Vafa, Michael Bershadsky","submitted_at":"1997-03-24T22:48:56Z","abstract_excerpt":"We show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the recently proposed 6 dimensional N=1 QFT's which were conjectured to possess IR fixed point at infinite coupling. We geometrically engineer essentially all the other models with one tensor multiplet using F-theory. In addition we construct 3 infinite series using F-theory geometry which do not have field theory analogs. All these models in the maximally Higgsed"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703167","kind":"arxiv","version":2},"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/9703167/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":"2026-07-04T15:08:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SUqy3Rqa/2f8Ubv2v7rD4BilkU8NR9kIFSdntHNz4DV/cSl0Z4Vc++eNDByB+dejJ+dSXiNskGtqrQWhezIPBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T18:22:01.023236Z"},"content_sha256":"cf351c3dfb14464de00c060ffffbd6018d3408089ca6967fd0b167d7851d5027","schema_version":"1.0","event_id":"sha256:cf351c3dfb14464de00c060ffffbd6018d3408089ca6967fd0b167d7851d5027"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A472CRJXINBKIOVNF2LHM34765/bundle.json","state_url":"https://pith.science/pith/A472CRJXINBKIOVNF2LHM34765/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A472CRJXINBKIOVNF2LHM34765/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":"2026-08-08T18:22:01Z","links":{"resolver":"https://pith.science/pith/A472CRJXINBKIOVNF2LHM34765","bundle":"https://pith.science/pith/A472CRJXINBKIOVNF2LHM34765/bundle.json","state":"https://pith.science/pith/A472CRJXINBKIOVNF2LHM34765/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A472CRJXINBKIOVNF2LHM34765/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:A472CRJXINBKIOVNF2LHM34765","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":"661cdddb5e706a3c3d0dff11ed817f1c49c3a7e2404ebdad521ad07077d96248","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-03-24T22:48:56Z","title_canon_sha256":"9f02aacb5355ff200e979371d10a1a914e5a58b27dc7b921d2b1d33cf4104033"},"schema_version":"1.0","source":{"id":"hep-th/9703167","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9703167","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703167v2","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703167","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"pith_short_12","alias_value":"A472CRJXINBK","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"pith_short_16","alias_value":"A472CRJXINBKIOVN","created_at":"2026-07-04T15:08:15Z"},{"alias_kind":"pith_short_8","alias_value":"A472CRJX","created_at":"2026-07-04T15:08:15Z"}],"graph_snapshots":[{"event_id":"sha256:cf351c3dfb14464de00c060ffffbd6018d3408089ca6967fd0b167d7851d5027","target":"graph","created_at":"2026-07-04T15:08:15Z","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/9703167/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show the existence of global gauge anomalies in six dimensions for gauge groups SU(2),SU(3) and G_2 coupled to matter, characterized by an element of Z_{12},Z_6 and Z_3 respectively. Consideration of this anomaly rules out some of the recently proposed 6 dimensional N=1 QFT's which were conjectured to possess IR fixed point at infinite coupling. We geometrically engineer essentially all the other models with one tensor multiplet using F-theory. In addition we construct 3 infinite series using F-theory geometry which do not have field theory analogs. All these models in the maximally Higgsed","authors_text":"Cumrun Vafa, Michael Bershadsky","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-03-24T22:48:56Z","title":"Global Anomalies and Geometric Engineering of Critical Theories in Six Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703167","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":"sha256:7591d566322f6e09bdec96fb5d51ca2c5e324edb855fe1e8f68102dd11048e96","target":"record","created_at":"2026-07-04T15:08:15Z","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":"661cdddb5e706a3c3d0dff11ed817f1c49c3a7e2404ebdad521ad07077d96248","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-03-24T22:48:56Z","title_canon_sha256":"9f02aacb5355ff200e979371d10a1a914e5a58b27dc7b921d2b1d33cf4104033"},"schema_version":"1.0","source":{"id":"hep-th/9703167","kind":"arxiv","version":2}},"canonical_sha256":"073fa145374342a43aad2e96766f9ff76110aae924d463a396af20d5bb92ede0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"073fa145374342a43aad2e96766f9ff76110aae924d463a396af20d5bb92ede0","first_computed_at":"2026-07-04T15:08:15.983692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:08:15.983692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fELdsIZqyWOFOKoRdPlYa/6E5RxeP5CzIhl/vyGdbti8+mUWjEpuufZM5LYZeAo/rm3AuibsqTmcp/0gAUCADg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:08:15.984038Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9703167","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7591d566322f6e09bdec96fb5d51ca2c5e324edb855fe1e8f68102dd11048e96","sha256:cf351c3dfb14464de00c060ffffbd6018d3408089ca6967fd0b167d7851d5027"],"state_sha256":"7b3394d5b1ca594d5c58eb7af5cd2b1df6ec3aa15fa6cb1bb8cc477bd862a6a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"597Z+2e8CC3V9Odl6egKebeO7p3WC2ddoA9khbOwnDuhV59MWJpWmRzny6cGRlw8WAB4QYOLs1zqECwTxB8aCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T18:22:01.026647Z","bundle_sha256":"f55a603939de9e98e2680d1ff549108dceac5437bacd0f0eeb195a89720b5246"}}