{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HDJMBDMPETJ72JN532PYANHX47","short_pith_number":"pith:HDJMBDMP","canonical_record":{"source":{"id":"1609.09402","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-29T16:01:42Z","cross_cats_sorted":[],"title_canon_sha256":"0a4edf260a2260b64d120744201f12900797486d56b47e69191b8a6c31f4647e","abstract_canon_sha256":"72a5117df4860a5ea1da65c54960d1b3b4d7f9671f38bffc168ff4201b4fcb22"},"schema_version":"1.0"},"canonical_sha256":"38d2c08d8f24d3fd25bdde9f8034f7e7cf365add6b619490f5c58c1c87ebdcbb","source":{"kind":"arxiv","id":"1609.09402","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09402","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09402v2","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09402","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"HDJMBDMPETJ7","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HDJMBDMPETJ72JN5","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HDJMBDMP","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HDJMBDMPETJ72JN532PYANHX47","target":"record","payload":{"canonical_record":{"source":{"id":"1609.09402","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-29T16:01:42Z","cross_cats_sorted":[],"title_canon_sha256":"0a4edf260a2260b64d120744201f12900797486d56b47e69191b8a6c31f4647e","abstract_canon_sha256":"72a5117df4860a5ea1da65c54960d1b3b4d7f9671f38bffc168ff4201b4fcb22"},"schema_version":"1.0"},"canonical_sha256":"38d2c08d8f24d3fd25bdde9f8034f7e7cf365add6b619490f5c58c1c87ebdcbb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:28.336371Z","signature_b64":"JCbjiWxxfz7c2wwtbnR+GOsy8N3shyltBIMIE+sy2OjpuiEb1/pvnGDfA3WVt5FGtrGCqkeiQDfzPOAF5W+jCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38d2c08d8f24d3fd25bdde9f8034f7e7cf365add6b619490f5c58c1c87ebdcbb","last_reissued_at":"2026-05-18T00:55:28.335735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:28.335735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.09402","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":"2026-05-18T00:55:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4s24dLO6U/yN97xHLWodM3Mzr0g/f89EgH8NSc2kKrFCAeIOMod9GhgFR8nhbPFUdeKu8bAzpj2YGX8jADewDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T04:14:18.226115Z"},"content_sha256":"c4abb3afdff5fdf6466ff96ef2c43387a6e432adc59d576b767366c6a154b652","schema_version":"1.0","event_id":"sha256:c4abb3afdff5fdf6466ff96ef2c43387a6e432adc59d576b767366c6a154b652"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HDJMBDMPETJ72JN532PYANHX47","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jue Zhang, Shun Zhou, Stephen F. King","submitted_at":"2016-09-29T16:01:42Z","abstract_excerpt":"The Littlest Seesaw (LS) model involves two right-handed neutrinos and a very constrained Dirac neutrino mass matrix, involving one texture zero and two independent Dirac masses, leading to a highly predictive scheme in which all neutrino masses and the entire PMNS matrix is successfully predicted in terms of just two real parameters. We calculate the renormalisation group (RG) corrections to the LS predictions, with and without supersymmetry, including also the threshold effects induced by the decoupling of heavy Majorana neutrinos both analytically and numerically. We find that the predictio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09402","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":"2026-05-18T00:55:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DXKS50ry+3Iea6b3N6bj/p85R6sPAVnJk/8DFVth7pgGetOeOEjeMMn6AugWCGn0WJF1h5+t0z50XEIN4XGaDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T04:14:18.226744Z"},"content_sha256":"ae312cb1c0915f04393b71af0c845e65d00091b766f34f9f2d8a897282000bb2","schema_version":"1.0","event_id":"sha256:ae312cb1c0915f04393b71af0c845e65d00091b766f34f9f2d8a897282000bb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HDJMBDMPETJ72JN532PYANHX47/bundle.json","state_url":"https://pith.science/pith/HDJMBDMPETJ72JN532PYANHX47/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HDJMBDMPETJ72JN532PYANHX47/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":"2026-05-25T04:14:18Z","links":{"resolver":"https://pith.science/pith/HDJMBDMPETJ72JN532PYANHX47","bundle":"https://pith.science/pith/HDJMBDMPETJ72JN532PYANHX47/bundle.json","state":"https://pith.science/pith/HDJMBDMPETJ72JN532PYANHX47/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HDJMBDMPETJ72JN532PYANHX47/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HDJMBDMPETJ72JN532PYANHX47","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":"72a5117df4860a5ea1da65c54960d1b3b4d7f9671f38bffc168ff4201b4fcb22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-29T16:01:42Z","title_canon_sha256":"0a4edf260a2260b64d120744201f12900797486d56b47e69191b8a6c31f4647e"},"schema_version":"1.0","source":{"id":"1609.09402","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09402","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09402v2","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09402","created_at":"2026-05-18T00:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"HDJMBDMPETJ7","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HDJMBDMPETJ72JN5","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HDJMBDMP","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:ae312cb1c0915f04393b71af0c845e65d00091b766f34f9f2d8a897282000bb2","target":"graph","created_at":"2026-05-18T00:55:28Z","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":"The Littlest Seesaw (LS) model involves two right-handed neutrinos and a very constrained Dirac neutrino mass matrix, involving one texture zero and two independent Dirac masses, leading to a highly predictive scheme in which all neutrino masses and the entire PMNS matrix is successfully predicted in terms of just two real parameters. We calculate the renormalisation group (RG) corrections to the LS predictions, with and without supersymmetry, including also the threshold effects induced by the decoupling of heavy Majorana neutrinos both analytically and numerically. We find that the predictio","authors_text":"Jue Zhang, Shun Zhou, Stephen F. King","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-29T16:01:42Z","title":"Renormalisation Group Corrections to the Littlest Seesaw Model and Maximal Atmospheric Mixing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09402","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:c4abb3afdff5fdf6466ff96ef2c43387a6e432adc59d576b767366c6a154b652","target":"record","created_at":"2026-05-18T00:55:28Z","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":"72a5117df4860a5ea1da65c54960d1b3b4d7f9671f38bffc168ff4201b4fcb22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-09-29T16:01:42Z","title_canon_sha256":"0a4edf260a2260b64d120744201f12900797486d56b47e69191b8a6c31f4647e"},"schema_version":"1.0","source":{"id":"1609.09402","kind":"arxiv","version":2}},"canonical_sha256":"38d2c08d8f24d3fd25bdde9f8034f7e7cf365add6b619490f5c58c1c87ebdcbb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"38d2c08d8f24d3fd25bdde9f8034f7e7cf365add6b619490f5c58c1c87ebdcbb","first_computed_at":"2026-05-18T00:55:28.335735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:28.335735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JCbjiWxxfz7c2wwtbnR+GOsy8N3shyltBIMIE+sy2OjpuiEb1/pvnGDfA3WVt5FGtrGCqkeiQDfzPOAF5W+jCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:28.336371Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.09402","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4abb3afdff5fdf6466ff96ef2c43387a6e432adc59d576b767366c6a154b652","sha256:ae312cb1c0915f04393b71af0c845e65d00091b766f34f9f2d8a897282000bb2"],"state_sha256":"1bdb63c8c041fb3b0a8db3fe4024b91e97eada5b8bbb32212cc0621745fbdd73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h7H9Qz5hPF0xZNgq4JgFNi6VRc/N5wgT1q6hlJ4UC3u5BGKWdZMecWHogPX6oSIn2HKivzaRTDUJvcAkgTmvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T04:14:18.230166Z","bundle_sha256":"eeeb409c43adb5fe3014b30cff930781839fa506a645cadc5d4a3b70ade7da07"}}