{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KF54UJE4J6NBVILNX3D3JD7DQ7","short_pith_number":"pith:KF54UJE4","canonical_record":{"source":{"id":"1807.07078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-18T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"e63c7968c1ccc12969a61b75b3bca3a06e2b702f1ecbf16ad84c6ebd9be71d98","abstract_canon_sha256":"37ef25cae1c90868b1a27424ff6587d9e0b7a629779bcd0801e4aae04823a078"},"schema_version":"1.0"},"canonical_sha256":"517bca249c4f9a1aa16dbec7b48fe387efedb469d9927167dda39960e58144ea","source":{"kind":"arxiv","id":"1807.07078","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.07078","created_at":"2026-05-18T00:02:24Z"},{"alias_kind":"arxiv_version","alias_value":"1807.07078v2","created_at":"2026-05-18T00:02:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07078","created_at":"2026-05-18T00:02:24Z"},{"alias_kind":"pith_short_12","alias_value":"KF54UJE4J6NB","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KF54UJE4J6NBVILN","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KF54UJE4","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KF54UJE4J6NBVILNX3D3JD7DQ7","target":"record","payload":{"canonical_record":{"source":{"id":"1807.07078","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-18T18:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"e63c7968c1ccc12969a61b75b3bca3a06e2b702f1ecbf16ad84c6ebd9be71d98","abstract_canon_sha256":"37ef25cae1c90868b1a27424ff6587d9e0b7a629779bcd0801e4aae04823a078"},"schema_version":"1.0"},"canonical_sha256":"517bca249c4f9a1aa16dbec7b48fe387efedb469d9927167dda39960e58144ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:24.853081Z","signature_b64":"zOdJsUaqascy1F6ezLuRZ4VLpnuq77GRH5S68/dhyuh/ReLPWQtIOSaHXImSw/BkaqQky5O6SW7RPrM+PcNjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"517bca249c4f9a1aa16dbec7b48fe387efedb469d9927167dda39960e58144ea","last_reissued_at":"2026-05-18T00:02:24.852502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:24.852502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.07078","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":"2026-05-18T00:02:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/XnJeMH28Zm0sjuOQBySuXEuqeDRNi3CJHrN6qI9sZJmK8H9mGlZ43P8BDHzVcyN+GFDnyzfH+1lKex1b682Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:42:57.449201Z"},"content_sha256":"5abd4a4c272c0a3571f9a578a0f30af812ed7f2ed9670bb5381df247c70706ae","schema_version":"1.0","event_id":"sha256:5abd4a4c272c0a3571f9a578a0f30af812ed7f2ed9670bb5381df247c70706ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KF54UJE4J6NBVILNX3D3JD7DQ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$SU(3) \\times SO(10)$ in 6d","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Francisco J. de Anda, Stephen F. King","submitted_at":"2018-07-18T18:00:02Z","abstract_excerpt":"We discuss a simple and elegant $SU(3)\\times SO(10)$ family unified gauge theory in 6d compactified on a torus with the orbifold $T_2/Z_2^3$ and supplemented by a $Z_6\\times Z_3$ discrete symmetry. The orbifold boundary conditions generate all the desired $SU(3)$ breaking vacuum alignments, including the $(0,1,-1)$ and $(1,3,-1)$ alignments of the Littlest Seesaw model for atmospheric and solar neutrino mixing, as well as the usual $SO(10)$ breaking with doublet-triplet splitting. The absence of driving and messenger fields considerably simplifies the field content of the model. It naturally e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07078","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":"2026-05-18T00:02:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VFazAIz49dYazAsUAtxz7GDxc+lsbym1eTYiVy45FmYDk9CNIf9PhUfnFU4lGVcD1Dftm59gnFKriIdDHPJsAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:42:57.449573Z"},"content_sha256":"99052f80470aa81c98d61f3df9ca19d19bcfb85af49424817bb97c4b70bce289","schema_version":"1.0","event_id":"sha256:99052f80470aa81c98d61f3df9ca19d19bcfb85af49424817bb97c4b70bce289"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KF54UJE4J6NBVILNX3D3JD7DQ7/bundle.json","state_url":"https://pith.science/pith/KF54UJE4J6NBVILNX3D3JD7DQ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KF54UJE4J6NBVILNX3D3JD7DQ7/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":"2026-06-01T10:42:57Z","links":{"resolver":"https://pith.science/pith/KF54UJE4J6NBVILNX3D3JD7DQ7","bundle":"https://pith.science/pith/KF54UJE4J6NBVILNX3D3JD7DQ7/bundle.json","state":"https://pith.science/pith/KF54UJE4J6NBVILNX3D3JD7DQ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KF54UJE4J6NBVILNX3D3JD7DQ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KF54UJE4J6NBVILNX3D3JD7DQ7","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":"37ef25cae1c90868b1a27424ff6587d9e0b7a629779bcd0801e4aae04823a078","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-18T18:00:02Z","title_canon_sha256":"e63c7968c1ccc12969a61b75b3bca3a06e2b702f1ecbf16ad84c6ebd9be71d98"},"schema_version":"1.0","source":{"id":"1807.07078","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.07078","created_at":"2026-05-18T00:02:24Z"},{"alias_kind":"arxiv_version","alias_value":"1807.07078v2","created_at":"2026-05-18T00:02:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.07078","created_at":"2026-05-18T00:02:24Z"},{"alias_kind":"pith_short_12","alias_value":"KF54UJE4J6NB","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KF54UJE4J6NBVILN","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KF54UJE4","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:99052f80470aa81c98d61f3df9ca19d19bcfb85af49424817bb97c4b70bce289","target":"graph","created_at":"2026-05-18T00:02:24Z","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 discuss a simple and elegant $SU(3)\\times SO(10)$ family unified gauge theory in 6d compactified on a torus with the orbifold $T_2/Z_2^3$ and supplemented by a $Z_6\\times Z_3$ discrete symmetry. The orbifold boundary conditions generate all the desired $SU(3)$ breaking vacuum alignments, including the $(0,1,-1)$ and $(1,3,-1)$ alignments of the Littlest Seesaw model for atmospheric and solar neutrino mixing, as well as the usual $SO(10)$ breaking with doublet-triplet splitting. The absence of driving and messenger fields considerably simplifies the field content of the model. It naturally e","authors_text":"Francisco J. de Anda, Stephen F. King","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-18T18:00:02Z","title":"$SU(3) \\times SO(10)$ in 6d"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.07078","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":"sha256:5abd4a4c272c0a3571f9a578a0f30af812ed7f2ed9670bb5381df247c70706ae","target":"record","created_at":"2026-05-18T00:02:24Z","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":"37ef25cae1c90868b1a27424ff6587d9e0b7a629779bcd0801e4aae04823a078","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-07-18T18:00:02Z","title_canon_sha256":"e63c7968c1ccc12969a61b75b3bca3a06e2b702f1ecbf16ad84c6ebd9be71d98"},"schema_version":"1.0","source":{"id":"1807.07078","kind":"arxiv","version":2}},"canonical_sha256":"517bca249c4f9a1aa16dbec7b48fe387efedb469d9927167dda39960e58144ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"517bca249c4f9a1aa16dbec7b48fe387efedb469d9927167dda39960e58144ea","first_computed_at":"2026-05-18T00:02:24.852502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:24.852502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zOdJsUaqascy1F6ezLuRZ4VLpnuq77GRH5S68/dhyuh/ReLPWQtIOSaHXImSw/BkaqQky5O6SW7RPrM+PcNjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:24.853081Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.07078","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5abd4a4c272c0a3571f9a578a0f30af812ed7f2ed9670bb5381df247c70706ae","sha256:99052f80470aa81c98d61f3df9ca19d19bcfb85af49424817bb97c4b70bce289"],"state_sha256":"214f8c27cc828815d96ba53550d724165b8d5e66b299335e67c5d4a8ca5f8570"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oiHs4kboUgWP70n/VV8De3Sbr7sYTcB7WK3z8Oj+HPNXlJWSiWBKxOqMtYYSFqo6I+ANzP3DlxHVvUOtxywMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T10:42:57.451545Z","bundle_sha256":"f0b814506526ca349bf853860bae29e1450d7a46dcdd81dbfa8a3b4ed3dee140"}}