{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GZGBTQ6N2RMT5E4UH4QYM5TAPZ","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":"5e1b93cbe17681573d3bfb7db656c50892d93c047fa4e1c2f78d52059f9e845e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-03-19T12:49:52Z","title_canon_sha256":"53c259e444bde3130837a4e54ca3d3221eb3649b117821fdc60e59ee9ea28862"},"schema_version":"1.0","source":{"id":"1303.4573","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4573","created_at":"2026-05-18T03:17:24Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4573v2","created_at":"2026-05-18T03:17:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4573","created_at":"2026-05-18T03:17:24Z"},{"alias_kind":"pith_short_12","alias_value":"GZGBTQ6N2RMT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"GZGBTQ6N2RMT5E4U","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"GZGBTQ6N","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:77d1258c42e6f57be05af2b9729d56096e13a1042baf7031d636b48406b16f16","target":"graph","created_at":"2026-05-18T03:17:24Z","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":"There exists a generic minimal tree-level diagram, with two external scalars and a heavy intermediate fermion, that can generate naturally small neutrino masses via a seesaw. This diagram has a mass insertion on the internal fermion line, and the set of such diagrams can be partitioned according to whether the mass insertion is of the Majorana or Dirac type. We show that, once subjected to the demands of naturalness (i.e. precluding small scalar vacuum expectation values that require fine-tuning), this set is finite, and contains a relatively small number of elements. Some of the corresponding","authors_text":"Kristian L. McDonald","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-03-19T12:49:52Z","title":"Minimal Tree-Level Seesaws with a Heavy Intermediate Fermion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4573","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:dc0cedec9478449e96f9049e02c4c00d0b578f66291bebc5a04de4442dfa9a53","target":"record","created_at":"2026-05-18T03:17:24Z","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":"5e1b93cbe17681573d3bfb7db656c50892d93c047fa4e1c2f78d52059f9e845e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-03-19T12:49:52Z","title_canon_sha256":"53c259e444bde3130837a4e54ca3d3221eb3649b117821fdc60e59ee9ea28862"},"schema_version":"1.0","source":{"id":"1303.4573","kind":"arxiv","version":2}},"canonical_sha256":"364c19c3cdd4593e93943f218676607e7cbe61bc7a5313edc1890b7985a39077","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"364c19c3cdd4593e93943f218676607e7cbe61bc7a5313edc1890b7985a39077","first_computed_at":"2026-05-18T03:17:24.465334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:24.465334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3clOqPyGaQzKpPMxEROelN9PU7ss+LLf1MQlnTCXQ47AWKdZ2vbf8Xzg9kbSCq5yaJN74K8kQGfx6ilDnsHrBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:24.465998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4573","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc0cedec9478449e96f9049e02c4c00d0b578f66291bebc5a04de4442dfa9a53","sha256:77d1258c42e6f57be05af2b9729d56096e13a1042baf7031d636b48406b16f16"],"state_sha256":"70731bac0c425c4e98d01bf3502640a2c48a03068748f4c5f59de3f4d8cb4106"}