{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:EQYP4DXZEYIF7VE33SB3DVDZT5","short_pith_number":"pith:EQYP4DXZ","canonical_record":{"source":{"id":"0811.2417","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-17T20:03:00Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"03f7805adfb28830f7356cfcbec1c55b9a105c5267388f001b4d4074d9e85976","abstract_canon_sha256":"975ab105d8152c0d1b45d75a212eab2eb47ec4d785e9758075cc5f87dace3cfd"},"schema_version":"1.0"},"canonical_sha256":"2430fe0ef926105fd49bdc83b1d4799f580b5e08b0c6aac8b4c5c0919dfc2813","source":{"kind":"arxiv","id":"0811.2417","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2417","created_at":"2026-05-18T02:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2417v3","created_at":"2026-05-18T02:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2417","created_at":"2026-05-18T02:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"EQYP4DXZEYIF","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EQYP4DXZEYIF7VE3","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EQYP4DXZ","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:EQYP4DXZEYIF7VE33SB3DVDZT5","target":"record","payload":{"canonical_record":{"source":{"id":"0811.2417","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-17T20:03:00Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"03f7805adfb28830f7356cfcbec1c55b9a105c5267388f001b4d4074d9e85976","abstract_canon_sha256":"975ab105d8152c0d1b45d75a212eab2eb47ec4d785e9758075cc5f87dace3cfd"},"schema_version":"1.0"},"canonical_sha256":"2430fe0ef926105fd49bdc83b1d4799f580b5e08b0c6aac8b4c5c0919dfc2813","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:13.883511Z","signature_b64":"YI1Ko6o19GOAKCisiSZNE6wQhIRmlWTA4+bkakCa83jluOyxOHmN5fTeVPMmtT9gSgzF02AulJ3jcyWyp6y6DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2430fe0ef926105fd49bdc83b1d4799f580b5e08b0c6aac8b4c5c0919dfc2813","last_reissued_at":"2026-05-18T02:35:13.882940Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:13.882940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.2417","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":"2026-05-18T02:35:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kF+LoE2OWj97f6Q0ipXHgg2FxybfmXQxcm03eUtetf5gGDOkZ3rs3HW8TYDG8HjG5UAxak6lhK/6RT0Hfb0ZCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T13:09:37.905548Z"},"content_sha256":"9b0d31e84d1df8a4db01662dbc4b502e0d179841ec0f53bc5fbc79f8f1472d0f","schema_version":"1.0","event_id":"sha256:9b0d31e84d1df8a4db01662dbc4b502e0d179841ec0f53bc5fbc79f8f1472d0f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:EQYP4DXZEYIF7VE33SB3DVDZT5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flavor Hierarchy From F-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Cumrun Vafa, Jonathan J. Heckman","submitted_at":"2008-11-17T20:03:00Z","abstract_excerpt":"It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM. In this note we show that in the presence of background fluxes, these models automatically achieve hierarchical Yukawa matrices in the quark and lepton sectors. At leading order, the existence of a U(1) symmetry which is related to phase rotations of the internal holomorphic coordinates at the brane intersection point leads to rank one Yukawa matrices. Subleading corrections to the internal wave functions from variations in the background flu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2417","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":"2026-05-18T02:35:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rz9K9C9uv0DNIllYMotYk/sBT7WFUabkq+9vK0nry1XPy12IupA87qDGJXlfERWBK6Py5GzJyUF0/c3X0pRnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T13:09:37.906179Z"},"content_sha256":"776e4f34d8c1a3ee77cfc2592ba4302074e0e7cd1e8198a327753e4b735b6fb5","schema_version":"1.0","event_id":"sha256:776e4f34d8c1a3ee77cfc2592ba4302074e0e7cd1e8198a327753e4b735b6fb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQYP4DXZEYIF7VE33SB3DVDZT5/bundle.json","state_url":"https://pith.science/pith/EQYP4DXZEYIF7VE33SB3DVDZT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQYP4DXZEYIF7VE33SB3DVDZT5/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":"2026-06-03T13:09:37Z","links":{"resolver":"https://pith.science/pith/EQYP4DXZEYIF7VE33SB3DVDZT5","bundle":"https://pith.science/pith/EQYP4DXZEYIF7VE33SB3DVDZT5/bundle.json","state":"https://pith.science/pith/EQYP4DXZEYIF7VE33SB3DVDZT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQYP4DXZEYIF7VE33SB3DVDZT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:EQYP4DXZEYIF7VE33SB3DVDZT5","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":"975ab105d8152c0d1b45d75a212eab2eb47ec4d785e9758075cc5f87dace3cfd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-17T20:03:00Z","title_canon_sha256":"03f7805adfb28830f7356cfcbec1c55b9a105c5267388f001b4d4074d9e85976"},"schema_version":"1.0","source":{"id":"0811.2417","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2417","created_at":"2026-05-18T02:35:13Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2417v3","created_at":"2026-05-18T02:35:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2417","created_at":"2026-05-18T02:35:13Z"},{"alias_kind":"pith_short_12","alias_value":"EQYP4DXZEYIF","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"EQYP4DXZEYIF7VE3","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"EQYP4DXZ","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:776e4f34d8c1a3ee77cfc2592ba4302074e0e7cd1e8198a327753e4b735b6fb5","target":"graph","created_at":"2026-05-18T02:35:13Z","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":"It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM. In this note we show that in the presence of background fluxes, these models automatically achieve hierarchical Yukawa matrices in the quark and lepton sectors. At leading order, the existence of a U(1) symmetry which is related to phase rotations of the internal holomorphic coordinates at the brane intersection point leads to rank one Yukawa matrices. Subleading corrections to the internal wave functions from variations in the background flu","authors_text":"Cumrun Vafa, Jonathan J. Heckman","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-17T20:03:00Z","title":"Flavor Hierarchy From F-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2417","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":"sha256:9b0d31e84d1df8a4db01662dbc4b502e0d179841ec0f53bc5fbc79f8f1472d0f","target":"record","created_at":"2026-05-18T02:35:13Z","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":"975ab105d8152c0d1b45d75a212eab2eb47ec4d785e9758075cc5f87dace3cfd","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-11-17T20:03:00Z","title_canon_sha256":"03f7805adfb28830f7356cfcbec1c55b9a105c5267388f001b4d4074d9e85976"},"schema_version":"1.0","source":{"id":"0811.2417","kind":"arxiv","version":3}},"canonical_sha256":"2430fe0ef926105fd49bdc83b1d4799f580b5e08b0c6aac8b4c5c0919dfc2813","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2430fe0ef926105fd49bdc83b1d4799f580b5e08b0c6aac8b4c5c0919dfc2813","first_computed_at":"2026-05-18T02:35:13.882940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:13.882940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YI1Ko6o19GOAKCisiSZNE6wQhIRmlWTA4+bkakCa83jluOyxOHmN5fTeVPMmtT9gSgzF02AulJ3jcyWyp6y6DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:13.883511Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2417","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b0d31e84d1df8a4db01662dbc4b502e0d179841ec0f53bc5fbc79f8f1472d0f","sha256:776e4f34d8c1a3ee77cfc2592ba4302074e0e7cd1e8198a327753e4b735b6fb5"],"state_sha256":"9b849fec727910d986e98ceb78fe0d4144945876dd578780cc864b79e30597eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBkcqIVjqY2/+IvioGHaTL/5JZgQU27zAgaIUkwI9+hZrlivHMKzc9/kvUiJZYKNU847Jv8x4sIGztgtMTacBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T13:09:37.909636Z","bundle_sha256":"79902306047c3346a299408dd174c42ca42b222f11345dc32317f19d6e679f83"}}