{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CPLIQTFFTXUMJJFRVVC77WZHDM","short_pith_number":"pith:CPLIQTFF","canonical_record":{"source":{"id":"1107.5337","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T21:14:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"3a43790b2b6557b2ad8b557c0798c76c96256dcc84989909843d70f0e03b52d7","abstract_canon_sha256":"6cc4a3b0d1b76c282a44064090432033c8e8f7ffef7d356c0a78df0de09e37a6"},"schema_version":"1.0"},"canonical_sha256":"13d6884ca59de8c4a4b1ad45ffdb271b284e816d8e365d59f20dbea8930df41c","source":{"kind":"arxiv","id":"1107.5337","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5337","created_at":"2026-05-18T02:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5337v3","created_at":"2026-05-18T02:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5337","created_at":"2026-05-18T02:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"CPLIQTFFTXUM","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CPLIQTFFTXUMJJFR","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CPLIQTFF","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CPLIQTFFTXUMJJFRVVC77WZHDM","target":"record","payload":{"canonical_record":{"source":{"id":"1107.5337","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T21:14:21Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"3a43790b2b6557b2ad8b557c0798c76c96256dcc84989909843d70f0e03b52d7","abstract_canon_sha256":"6cc4a3b0d1b76c282a44064090432033c8e8f7ffef7d356c0a78df0de09e37a6"},"schema_version":"1.0"},"canonical_sha256":"13d6884ca59de8c4a4b1ad45ffdb271b284e816d8e365d59f20dbea8930df41c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:09.360548Z","signature_b64":"Zl1i6yTYXGom/uKwXFEDTe+/FwGJNeA6HRoS7kecLktlQxUyoZzoAmDi9TFqHGlm3Z2tbmUy+P+VmSSkhLobAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13d6884ca59de8c4a4b1ad45ffdb271b284e816d8e365d59f20dbea8930df41c","last_reissued_at":"2026-05-18T02:01:09.360040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:09.360040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.5337","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+ox5bqloXZCp8xJRAsx5J+VN9JsJJfi7D0FSeXkFvQbbDOBLmJws+f1Hdj6DOduh8VAvzmM1Xp5EDEK4bH9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:03:57.675954Z"},"content_sha256":"0ec87063ebc5f933bfa7498515fb6caa6aa6aa0517b3a61a708d08d565a699a2","schema_version":"1.0","event_id":"sha256:0ec87063ebc5f933bfa7498515fb6caa6aa6aa0517b3a61a708d08d565a699a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CPLIQTFFTXUMJJFRVVC77WZHDM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"G-flux in F-theory and algebraic cycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Andreas P. Braun, Andres Collinucci, Roberto Valandro","submitted_at":"2011-07-26T21:14:21Z","abstract_excerpt":"We construct explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to compute the D3-brane tadpole and the induced chirality indices directly in F-theory. Whenever a weak coupling limit is available, we compare and successfully match our findings to the corresponding results in type IIB string theory. Finally, we present some generalizations of our results which hint at a unified description of the elliptic Calabi-Yau fourfold together with the four-form flux G4 as a coherent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5337","kind":"arxiv","version":3},"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":"2026-05-18T02:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKU3AxI2v1iUDZkCYbTSzOsMG6fQo3DlsouJI4cIapJFVPg0MvlwsRNZrqYyLrde7t9LnXZ8Ym4IhLyEHrrqAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:03:57.676641Z"},"content_sha256":"e460d65554d14c9b76f11653cca17c59a12fa2133b241106212b02086c217876","schema_version":"1.0","event_id":"sha256:e460d65554d14c9b76f11653cca17c59a12fa2133b241106212b02086c217876"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CPLIQTFFTXUMJJFRVVC77WZHDM/bundle.json","state_url":"https://pith.science/pith/CPLIQTFFTXUMJJFRVVC77WZHDM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CPLIQTFFTXUMJJFRVVC77WZHDM/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":"2026-06-06T15:03:57Z","links":{"resolver":"https://pith.science/pith/CPLIQTFFTXUMJJFRVVC77WZHDM","bundle":"https://pith.science/pith/CPLIQTFFTXUMJJFRVVC77WZHDM/bundle.json","state":"https://pith.science/pith/CPLIQTFFTXUMJJFRVVC77WZHDM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CPLIQTFFTXUMJJFRVVC77WZHDM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CPLIQTFFTXUMJJFRVVC77WZHDM","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":"6cc4a3b0d1b76c282a44064090432033c8e8f7ffef7d356c0a78df0de09e37a6","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T21:14:21Z","title_canon_sha256":"3a43790b2b6557b2ad8b557c0798c76c96256dcc84989909843d70f0e03b52d7"},"schema_version":"1.0","source":{"id":"1107.5337","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.5337","created_at":"2026-05-18T02:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"1107.5337v3","created_at":"2026-05-18T02:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.5337","created_at":"2026-05-18T02:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"CPLIQTFFTXUM","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CPLIQTFFTXUMJJFR","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CPLIQTFF","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:e460d65554d14c9b76f11653cca17c59a12fa2133b241106212b02086c217876","target":"graph","created_at":"2026-05-18T02:01:09Z","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 explicit G4 fluxes in F-theory compactifications. Our method relies on identifying algebraic cycles in the Weierstrass equation of elliptic Calabi-Yau fourfolds. We show how to compute the D3-brane tadpole and the induced chirality indices directly in F-theory. Whenever a weak coupling limit is available, we compare and successfully match our findings to the corresponding results in type IIB string theory. Finally, we present some generalizations of our results which hint at a unified description of the elliptic Calabi-Yau fourfold together with the four-form flux G4 as a coherent","authors_text":"Andreas P. Braun, Andres Collinucci, Roberto Valandro","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T21:14:21Z","title":"G-flux in F-theory and algebraic cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.5337","kind":"arxiv","version":3},"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":"sha256:0ec87063ebc5f933bfa7498515fb6caa6aa6aa0517b3a61a708d08d565a699a2","target":"record","created_at":"2026-05-18T02:01:09Z","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":"6cc4a3b0d1b76c282a44064090432033c8e8f7ffef7d356c0a78df0de09e37a6","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-26T21:14:21Z","title_canon_sha256":"3a43790b2b6557b2ad8b557c0798c76c96256dcc84989909843d70f0e03b52d7"},"schema_version":"1.0","source":{"id":"1107.5337","kind":"arxiv","version":3}},"canonical_sha256":"13d6884ca59de8c4a4b1ad45ffdb271b284e816d8e365d59f20dbea8930df41c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13d6884ca59de8c4a4b1ad45ffdb271b284e816d8e365d59f20dbea8930df41c","first_computed_at":"2026-05-18T02:01:09.360040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:09.360040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zl1i6yTYXGom/uKwXFEDTe+/FwGJNeA6HRoS7kecLktlQxUyoZzoAmDi9TFqHGlm3Z2tbmUy+P+VmSSkhLobAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:09.360548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.5337","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ec87063ebc5f933bfa7498515fb6caa6aa6aa0517b3a61a708d08d565a699a2","sha256:e460d65554d14c9b76f11653cca17c59a12fa2133b241106212b02086c217876"],"state_sha256":"3f2546b1df1b02af2d8883ce659222138f5023a4b365a1e47fbb619a41b489e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tia4jeFbqkv0S7LlG45saWIlUTnrOyybEwLsSi8TI4b/cBNfY4zCz4rMaBsQy5jqEtt49/lzAmuFED9hRpX3Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:03:57.680418Z","bundle_sha256":"af4f5715fbdbbe2371f4f91047259e703e2759b4b65886881aa21630e36e1779"}}