{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:XVAUXIVR7R3CW7BCJXFOHR3AKL","short_pith_number":"pith:XVAUXIVR","canonical_record":{"source":{"id":"1903.03608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-08T18:59:31Z","cross_cats_sorted":[],"title_canon_sha256":"4a9a968ee9188dcc93fa52c7aef4c8ca8c2c6314c91a9e6bd7de59f03359081c","abstract_canon_sha256":"fa6aa49e21065d7d9e87564a1df35acf08fba7701b36776fcd7e6b7e3fc04e28"},"schema_version":"1.0"},"canonical_sha256":"bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb","source":{"kind":"arxiv","id":"1903.03608","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03608","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03608v2","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03608","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"XVAUXIVR7R3C","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"pith_short_16","alias_value":"XVAUXIVR7R3CW7BC","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"pith_short_8","alias_value":"XVAUXIVR","created_at":"2026-07-05T02:52:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:XVAUXIVR7R3CW7BCJXFOHR3AKL","target":"record","payload":{"canonical_record":{"source":{"id":"1903.03608","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-08T18:59:31Z","cross_cats_sorted":[],"title_canon_sha256":"4a9a968ee9188dcc93fa52c7aef4c8ca8c2c6314c91a9e6bd7de59f03359081c","abstract_canon_sha256":"fa6aa49e21065d7d9e87564a1df35acf08fba7701b36776fcd7e6b7e3fc04e28"},"schema_version":"1.0"},"canonical_sha256":"bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:52:55.663903Z","signature_b64":"weSfjfRS6yo+4wtmbU3dtnAceSKauHcs7OBKaqgEGECJveUbadFF7/lNF9WeeR3mTSz99tUbM/lVqKDceVfeAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb","last_reissued_at":"2026-07-05T02:52:55.663511Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:52:55.663511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.03608","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":"2026-07-05T02:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R4QvEeCnRSukiL9ZArsSHIcCrEHNIDjIxq68SG6Fc0cQ309G4+R9+90fBnsSAh76mByoVYQAa6hq/BO4VT70Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T22:57:56.642066Z"},"content_sha256":"b3eea750bce5ccbb22afb92ae6c1905b62bbf586922705ae3fe923d4d6a94ca2","schema_version":"1.0","event_id":"sha256:b3eea750bce5ccbb22afb92ae6c1905b62bbf586922705ae3fe923d4d6a94ca2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:XVAUXIVR7R3CW7BCJXFOHR3AKL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"F-theory models with 3 to 8 U(1) factors on K3 surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yusuke Kimura","submitted_at":"2019-03-08T18:59:31Z","abstract_excerpt":"In this study, we construct four-dimensional F-theory models with 3 to 8 U(1) factors on products of K3 surfaces. We provide explicit Weierstrass equations of elliptic K3 surfaces with Mordell-Weil ranks of 3 to 8. We utilize the method of quadratic base change to glue pairs of rational elliptic surfaces together to yield the aforementioned types of K3 surfaces. The moduli of elliptic K3 surfaces constructed in the study include Kummer surfaces of specific complex structures. We show that the tadpole cancels in F-theory compactifications with flux when these Kummer surfaces are paired with app"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03608","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/1903.03608/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":"2026-07-05T02:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ZRs903g1ZX1V32fdX7iqnqysHhkJttRQRp/zoeCgof/dg7K4QjcpDSO57d6gWJugjDCwaUMlv8kedeEJFQlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T22:57:56.642571Z"},"content_sha256":"9e9ee1bb52412caa1d648da88d145189e30d97c5e80e344cd0f6d6403305a044","schema_version":"1.0","event_id":"sha256:9e9ee1bb52412caa1d648da88d145189e30d97c5e80e344cd0f6d6403305a044"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL/bundle.json","state_url":"https://pith.science/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL/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":"2026-08-15T22:57:56Z","links":{"resolver":"https://pith.science/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL","bundle":"https://pith.science/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL/bundle.json","state":"https://pith.science/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XVAUXIVR7R3CW7BCJXFOHR3AKL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:XVAUXIVR7R3CW7BCJXFOHR3AKL","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":"fa6aa49e21065d7d9e87564a1df35acf08fba7701b36776fcd7e6b7e3fc04e28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-08T18:59:31Z","title_canon_sha256":"4a9a968ee9188dcc93fa52c7aef4c8ca8c2c6314c91a9e6bd7de59f03359081c"},"schema_version":"1.0","source":{"id":"1903.03608","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.03608","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1903.03608v2","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.03608","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"XVAUXIVR7R3C","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"pith_short_16","alias_value":"XVAUXIVR7R3CW7BC","created_at":"2026-07-05T02:52:55Z"},{"alias_kind":"pith_short_8","alias_value":"XVAUXIVR","created_at":"2026-07-05T02:52:55Z"}],"graph_snapshots":[{"event_id":"sha256:9e9ee1bb52412caa1d648da88d145189e30d97c5e80e344cd0f6d6403305a044","target":"graph","created_at":"2026-07-05T02:52:55Z","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/1903.03608/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this study, we construct four-dimensional F-theory models with 3 to 8 U(1) factors on products of K3 surfaces. We provide explicit Weierstrass equations of elliptic K3 surfaces with Mordell-Weil ranks of 3 to 8. We utilize the method of quadratic base change to glue pairs of rational elliptic surfaces together to yield the aforementioned types of K3 surfaces. The moduli of elliptic K3 surfaces constructed in the study include Kummer surfaces of specific complex structures. We show that the tadpole cancels in F-theory compactifications with flux when these Kummer surfaces are paired with app","authors_text":"Yusuke Kimura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-08T18:59:31Z","title":"F-theory models with 3 to 8 U(1) factors on K3 surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.03608","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:b3eea750bce5ccbb22afb92ae6c1905b62bbf586922705ae3fe923d4d6a94ca2","target":"record","created_at":"2026-07-05T02:52:55Z","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":"fa6aa49e21065d7d9e87564a1df35acf08fba7701b36776fcd7e6b7e3fc04e28","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-08T18:59:31Z","title_canon_sha256":"4a9a968ee9188dcc93fa52c7aef4c8ca8c2c6314c91a9e6bd7de59f03359081c"},"schema_version":"1.0","source":{"id":"1903.03608","kind":"arxiv","version":2}},"canonical_sha256":"bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd414ba2b1fc762b7c224dcae3c76052dd05352085b20088f3eba46dafbe91bb","first_computed_at":"2026-07-05T02:52:55.663511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:52:55.663511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"weSfjfRS6yo+4wtmbU3dtnAceSKauHcs7OBKaqgEGECJveUbadFF7/lNF9WeeR3mTSz99tUbM/lVqKDceVfeAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:52:55.663903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.03608","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b3eea750bce5ccbb22afb92ae6c1905b62bbf586922705ae3fe923d4d6a94ca2","sha256:9e9ee1bb52412caa1d648da88d145189e30d97c5e80e344cd0f6d6403305a044"],"state_sha256":"500dd420c61f0bb656e78d1dbc5ef2ad20e2934a253a121c422c99c32c05a811"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q3D9lZqoGP2x6XyeXQ4N0H6Z+12Ws5BeZfO6wJG9qSlODwqJjzFGYUXfOWYwqnW0mRdWO6F9EleZVFU4tLWvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T22:57:56.646329Z","bundle_sha256":"89866642bd7d3e87f0cd1c8b017ab2088b3170c6754f8ee1bc934bf55f17559a"}}