{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:6AVYA6WXQHNT75J243HHEOLAMG","short_pith_number":"pith:6AVYA6WX","canonical_record":{"source":{"id":"0911.0427","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-03T19:06:33Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"9f5e71d233ef301c4bb6c92f492542ecbdf9882efd7262bf47b1236e9a067700","abstract_canon_sha256":"ec7042038752b5dd7a57921f0ac9dd839fa8a78254201538bf4fa5de19353e16"},"schema_version":"1.0"},"canonical_sha256":"f02b807ad781db3ff53ae6ce723960619b5d12caf063ad8e9238707f40878dbe","source":{"kind":"arxiv","id":"0911.0427","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.0427","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"0911.0427v2","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0427","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"6AVYA6WXQHNT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6AVYA6WXQHNT75J2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6AVYA6WX","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:6AVYA6WXQHNT75J243HHEOLAMG","target":"record","payload":{"canonical_record":{"source":{"id":"0911.0427","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-03T19:06:33Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"9f5e71d233ef301c4bb6c92f492542ecbdf9882efd7262bf47b1236e9a067700","abstract_canon_sha256":"ec7042038752b5dd7a57921f0ac9dd839fa8a78254201538bf4fa5de19353e16"},"schema_version":"1.0"},"canonical_sha256":"f02b807ad781db3ff53ae6ce723960619b5d12caf063ad8e9238707f40878dbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:21.457996Z","signature_b64":"RFyP1ZDGgyTezy+TzAnw01zCEFEvjSpl85erRzzd/0T5DpHJkQr/eBvHis93xCCqYi7xXJnzwyAMBUZXG0eNDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f02b807ad781db3ff53ae6ce723960619b5d12caf063ad8e9238707f40878dbe","last_reissued_at":"2026-05-18T04:31:21.457527Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:21.457527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0911.0427","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":"2026-05-18T04:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IGVJWAC58gyVMeL/6MxHPLv5YzLtmPEmbVTb7TonQWAcZq3DeEoNJ5Gh0D56IRkTm38LMKBKr+NCiIqay78VAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:23:27.872597Z"},"content_sha256":"e407fff95ea9cce2a1dcfd8715944ec7c5bf286f83bf0f1b8e042051c2cb3f77","schema_version":"1.0","event_id":"sha256:e407fff95ea9cce2a1dcfd8715944ec7c5bf286f83bf0f1b8e042051c2cb3f77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:6AVYA6WXQHNT75J243HHEOLAMG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Abelian Gauge Fluxes and Local Models in F-Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Yu-Chieh Chung","submitted_at":"2009-11-03T19:06:33Z","abstract_excerpt":"We analyze the Abelian gauge fluxes in local F-theory models with G_S=SU(6) and SO(10). For the case of G_S=SO(10), there is a no-go theorem which states that for an exotic-free spectrum, there are no solutions for U(1)^2 gauge fluxes. We explicitly construct the U(1)^2 gauge fluxes with an exotic-free bulk spectrum for the case of G_S=SU(6). We also analyze the conditions for the curves supporting the given field content and discuss non-minimal spectra of the MSSM with doublet-triplet splitting."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0427","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":""},"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":"2026-05-18T04:31:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NC2RASMati1JRRE8OhdsUB9vi0u+JySCyvBG2AChV8FSp73E2/4K4ZMiBGVy0NPctk3KvjzOpVnXljMf57XoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T02:23:27.873280Z"},"content_sha256":"bd93294fdd156b7ba5fe912800887702d9fb1c1863c8f9a565dc2dae0c67bba2","schema_version":"1.0","event_id":"sha256:bd93294fdd156b7ba5fe912800887702d9fb1c1863c8f9a565dc2dae0c67bba2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6AVYA6WXQHNT75J243HHEOLAMG/bundle.json","state_url":"https://pith.science/pith/6AVYA6WXQHNT75J243HHEOLAMG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6AVYA6WXQHNT75J243HHEOLAMG/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":"2026-06-11T02:23:27Z","links":{"resolver":"https://pith.science/pith/6AVYA6WXQHNT75J243HHEOLAMG","bundle":"https://pith.science/pith/6AVYA6WXQHNT75J243HHEOLAMG/bundle.json","state":"https://pith.science/pith/6AVYA6WXQHNT75J243HHEOLAMG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6AVYA6WXQHNT75J243HHEOLAMG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:6AVYA6WXQHNT75J243HHEOLAMG","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":"ec7042038752b5dd7a57921f0ac9dd839fa8a78254201538bf4fa5de19353e16","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-03T19:06:33Z","title_canon_sha256":"9f5e71d233ef301c4bb6c92f492542ecbdf9882efd7262bf47b1236e9a067700"},"schema_version":"1.0","source":{"id":"0911.0427","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0911.0427","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"arxiv_version","alias_value":"0911.0427v2","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0911.0427","created_at":"2026-05-18T04:31:21Z"},{"alias_kind":"pith_short_12","alias_value":"6AVYA6WXQHNT","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"6AVYA6WXQHNT75J2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"6AVYA6WX","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:bd93294fdd156b7ba5fe912800887702d9fb1c1863c8f9a565dc2dae0c67bba2","target":"graph","created_at":"2026-05-18T04:31:21Z","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 analyze the Abelian gauge fluxes in local F-theory models with G_S=SU(6) and SO(10). For the case of G_S=SO(10), there is a no-go theorem which states that for an exotic-free spectrum, there are no solutions for U(1)^2 gauge fluxes. We explicitly construct the U(1)^2 gauge fluxes with an exotic-free bulk spectrum for the case of G_S=SU(6). We also analyze the conditions for the curves supporting the given field content and discuss non-minimal spectra of the MSSM with doublet-triplet splitting.","authors_text":"Yu-Chieh Chung","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-03T19:06:33Z","title":"Abelian Gauge Fluxes and Local Models in F-Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0911.0427","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:e407fff95ea9cce2a1dcfd8715944ec7c5bf286f83bf0f1b8e042051c2cb3f77","target":"record","created_at":"2026-05-18T04:31:21Z","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":"ec7042038752b5dd7a57921f0ac9dd839fa8a78254201538bf4fa5de19353e16","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-11-03T19:06:33Z","title_canon_sha256":"9f5e71d233ef301c4bb6c92f492542ecbdf9882efd7262bf47b1236e9a067700"},"schema_version":"1.0","source":{"id":"0911.0427","kind":"arxiv","version":2}},"canonical_sha256":"f02b807ad781db3ff53ae6ce723960619b5d12caf063ad8e9238707f40878dbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f02b807ad781db3ff53ae6ce723960619b5d12caf063ad8e9238707f40878dbe","first_computed_at":"2026-05-18T04:31:21.457527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:21.457527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RFyP1ZDGgyTezy+TzAnw01zCEFEvjSpl85erRzzd/0T5DpHJkQr/eBvHis93xCCqYi7xXJnzwyAMBUZXG0eNDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:21.457996Z","signed_message":"canonical_sha256_bytes"},"source_id":"0911.0427","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e407fff95ea9cce2a1dcfd8715944ec7c5bf286f83bf0f1b8e042051c2cb3f77","sha256:bd93294fdd156b7ba5fe912800887702d9fb1c1863c8f9a565dc2dae0c67bba2"],"state_sha256":"da05a202749847a82f7190595af730e43fcd0152d0141b69f2f74b1d3c5cd417"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ex3VcJqX4jaYI0zYlEp2UWdB7N1wLRwA2V2v5PfiQ6xAwV285u0elDGAaAP/ICW9bLS0/75jDM+8xbyw1rTyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T02:23:27.876720Z","bundle_sha256":"30cc67f8f6cf3292baa85fe670e2781484977771473a0fb96e5cf9cf61363fe5"}}