{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EGEACYFZFU4IXXKMHWH5YBJ5CM","short_pith_number":"pith:EGEACYFZ","canonical_record":{"source":{"id":"1107.1718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-08T20:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"c8790b0f884bc1d588dd5f7176a3b015ffb574199258e5d47d3a2c13a4a05f2c","abstract_canon_sha256":"1386477c887307fa600dd60577410d93100b5f7ef070df956fa7f0f0f814cc32"},"schema_version":"1.0"},"canonical_sha256":"21880160b92d388bdd4c3d8fdc053d131d8a3ea0a957fd983f355374d9e3b0e6","source":{"kind":"arxiv","id":"1107.1718","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1718","created_at":"2026-05-18T04:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1718v2","created_at":"2026-05-18T04:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1718","created_at":"2026-05-18T04:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"EGEACYFZFU4I","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EGEACYFZFU4IXXKM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EGEACYFZ","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EGEACYFZFU4IXXKMHWH5YBJ5CM","target":"record","payload":{"canonical_record":{"source":{"id":"1107.1718","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-08T20:00:06Z","cross_cats_sorted":[],"title_canon_sha256":"c8790b0f884bc1d588dd5f7176a3b015ffb574199258e5d47d3a2c13a4a05f2c","abstract_canon_sha256":"1386477c887307fa600dd60577410d93100b5f7ef070df956fa7f0f0f814cc32"},"schema_version":"1.0"},"canonical_sha256":"21880160b92d388bdd4c3d8fdc053d131d8a3ea0a957fd983f355374d9e3b0e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:33.498654Z","signature_b64":"j7BpI7jy7lgRTBljCdPfBEjtDcmksMIS7YEpwc6ZBHxBuNQmNJKE2mYD/Z4Ojfg6h6s+22G9NkW0acbQwjoMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21880160b92d388bdd4c3d8fdc053d131d8a3ea0a957fd983f355374d9e3b0e6","last_reissued_at":"2026-05-18T04:12:33.498030Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:33.498030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.1718","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":"2026-05-18T04:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/AiKYmGvG0jECE+aClo948VRk5UjvTqfVMEXqcmkkqdARJkkorqT+tsI4aYG18VGu0g3PEth8eCCK0tHqxFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:27:08.078612Z"},"content_sha256":"1b9adcb56688b83509d216c0ec6d93491cc44508d24210f32356397e23758878","schema_version":"1.0","event_id":"sha256:1b9adcb56688b83509d216c0ec6d93491cc44508d24210f32356397e23758878"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EGEACYFZFU4IXXKMHWH5YBJ5CM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On G-flux, M5 instantons, and U(1)s in F-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Joseph Marsano, Natalia Saulina, Sakura Schafer-Nameki","submitted_at":"2011-07-08T20:00:06Z","abstract_excerpt":"Local aspects of singular F-theory compactifications for SUSY GUT model-building are fairly well understood in terms of Higgs bundles and their spectral data. Several global issues remain, however, including a description of G-fluxes, which are key to constructing chiral matter and stabilizing moduli, and the global realization of U(1) symmetries that can forbid phenomenologically unfavorable couplings. In this paper, we sharpen our earlier proposal for describing G-fluxes through \"spectral divisors\" and introduce a distinguished \"Tate divisor\", which can be used to describe both G-flux and U("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1718","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":"2026-05-18T04:12:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbRix9SfElatlfoUsErPlITIZEETJZEyUPfY0dmXKD3ftwk55wIpubAIHYxll2mfSSO4tyRStxa/6osXFKGECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T09:27:08.079276Z"},"content_sha256":"8a57f0fbd729065c4759647019be00420d4bdaf7f29145103e0fdec50a5c6dc3","schema_version":"1.0","event_id":"sha256:8a57f0fbd729065c4759647019be00420d4bdaf7f29145103e0fdec50a5c6dc3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM/bundle.json","state_url":"https://pith.science/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM/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":"2026-05-30T09:27:08Z","links":{"resolver":"https://pith.science/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM","bundle":"https://pith.science/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM/bundle.json","state":"https://pith.science/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EGEACYFZFU4IXXKMHWH5YBJ5CM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EGEACYFZFU4IXXKMHWH5YBJ5CM","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":"1386477c887307fa600dd60577410d93100b5f7ef070df956fa7f0f0f814cc32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-08T20:00:06Z","title_canon_sha256":"c8790b0f884bc1d588dd5f7176a3b015ffb574199258e5d47d3a2c13a4a05f2c"},"schema_version":"1.0","source":{"id":"1107.1718","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1718","created_at":"2026-05-18T04:12:33Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1718v2","created_at":"2026-05-18T04:12:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1718","created_at":"2026-05-18T04:12:33Z"},{"alias_kind":"pith_short_12","alias_value":"EGEACYFZFU4I","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EGEACYFZFU4IXXKM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EGEACYFZ","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:8a57f0fbd729065c4759647019be00420d4bdaf7f29145103e0fdec50a5c6dc3","target":"graph","created_at":"2026-05-18T04:12:33Z","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":"Local aspects of singular F-theory compactifications for SUSY GUT model-building are fairly well understood in terms of Higgs bundles and their spectral data. Several global issues remain, however, including a description of G-fluxes, which are key to constructing chiral matter and stabilizing moduli, and the global realization of U(1) symmetries that can forbid phenomenologically unfavorable couplings. In this paper, we sharpen our earlier proposal for describing G-fluxes through \"spectral divisors\" and introduce a distinguished \"Tate divisor\", which can be used to describe both G-flux and U(","authors_text":"Joseph Marsano, Natalia Saulina, Sakura Schafer-Nameki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-08T20:00:06Z","title":"On G-flux, M5 instantons, and U(1)s in F-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1718","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":"sha256:1b9adcb56688b83509d216c0ec6d93491cc44508d24210f32356397e23758878","target":"record","created_at":"2026-05-18T04:12:33Z","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":"1386477c887307fa600dd60577410d93100b5f7ef070df956fa7f0f0f814cc32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-08T20:00:06Z","title_canon_sha256":"c8790b0f884bc1d588dd5f7176a3b015ffb574199258e5d47d3a2c13a4a05f2c"},"schema_version":"1.0","source":{"id":"1107.1718","kind":"arxiv","version":2}},"canonical_sha256":"21880160b92d388bdd4c3d8fdc053d131d8a3ea0a957fd983f355374d9e3b0e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21880160b92d388bdd4c3d8fdc053d131d8a3ea0a957fd983f355374d9e3b0e6","first_computed_at":"2026-05-18T04:12:33.498030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:33.498030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j7BpI7jy7lgRTBljCdPfBEjtDcmksMIS7YEpwc6ZBHxBuNQmNJKE2mYD/Z4Ojfg6h6s+22G9NkW0acbQwjoMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:33.498654Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1718","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1b9adcb56688b83509d216c0ec6d93491cc44508d24210f32356397e23758878","sha256:8a57f0fbd729065c4759647019be00420d4bdaf7f29145103e0fdec50a5c6dc3"],"state_sha256":"8051c05ef7bb9b823f850b958aaa4ec9e7f21373fef0579b8c1afa00c34df8d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bAmzO5KZvSUCbXF8yQlazRAWq3VwXtatumlLhXoBERs9GVTOycA/r1Fq1EPbWYQXCT+kKckoPX1Qs5T/BjiPDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T09:27:08.083382Z","bundle_sha256":"62e725954493b1400ab38eef465f9ebae97664f73d4acbde36be3dc64a9abda2"}}