{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WVV7RWSHBWMAAD5G7BM2SJ6COL","short_pith_number":"pith:WVV7RWSH","canonical_record":{"source":{"id":"1208.2645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-13T17:23:08Z","cross_cats_sorted":[],"title_canon_sha256":"79e41c5378c3b2c0b0211e00bb34e88219cb1aed6f300d07e0f65594951abe5f","abstract_canon_sha256":"1f91b0f3bdbb66d96559e444faf60cbb41b66f8eb0c851da3ffe7068b523ee99"},"schema_version":"1.0"},"canonical_sha256":"b56bf8da470d98000fa6f859a927c272f5f29252cd1bf6875fa9b80dfaf49fab","source":{"kind":"arxiv","id":"1208.2645","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2645","created_at":"2026-05-18T03:48:57Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2645v1","created_at":"2026-05-18T03:48:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2645","created_at":"2026-05-18T03:48:57Z"},{"alias_kind":"pith_short_12","alias_value":"WVV7RWSHBWMA","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WVV7RWSHBWMAAD5G","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WVV7RWSH","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WVV7RWSHBWMAAD5G7BM2SJ6COL","target":"record","payload":{"canonical_record":{"source":{"id":"1208.2645","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-13T17:23:08Z","cross_cats_sorted":[],"title_canon_sha256":"79e41c5378c3b2c0b0211e00bb34e88219cb1aed6f300d07e0f65594951abe5f","abstract_canon_sha256":"1f91b0f3bdbb66d96559e444faf60cbb41b66f8eb0c851da3ffe7068b523ee99"},"schema_version":"1.0"},"canonical_sha256":"b56bf8da470d98000fa6f859a927c272f5f29252cd1bf6875fa9b80dfaf49fab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:57.359515Z","signature_b64":"QWSYwgH5X4U3hC3EG3lXtr3B8F0X9XeFvRuFg0e438Osa2gbCW38zpWre7xmPUl8kAniPrDW6lBK4rg5hK1CCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b56bf8da470d98000fa6f859a927c272f5f29252cd1bf6875fa9b80dfaf49fab","last_reissued_at":"2026-05-18T03:48:57.358878Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:57.358878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1208.2645","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:48:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ep4Ur3IZj2VMMKpGNYlc0IioHLt/G2WFOXSW93J6wLHHnZoaxSJtvY6IhXMHcPrI3AOoWAyZJnkHc69z4nbPAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:56:46.666217Z"},"content_sha256":"41340f4b42679b9e3842911581805eb079fc3bff91e8bd42e1edbba9ffac0777","schema_version":"1.0","event_id":"sha256:41340f4b42679b9e3842911581805eb079fc3bff91e8bd42e1edbba9ffac0777"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WVV7RWSHBWMAAD5G7BM2SJ6COL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ansatz of Leptonic Mixing: The Alliance of Bi-Maximal Mixing with a Single-Angle Rotation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Kim Siyeon","submitted_at":"2012-08-13T17:23:08Z","abstract_excerpt":"We introduce an ansatz of the PMNS matrix that consists of specific types of transformations. Bi-maximal mixing is taken for the neutrino masses, while a single-angle rotation in the 1-2 block is taken for the charged lepton masses. Motivated by the implications of the recent results on neutrino oscillations, $\\theta_{23}$ in the first octant and non-zero $\\theta_{13}$ are predicted by the ansatz. Three physical mixing angles are expressed in terms of a single variable, the 1-2 angle of charged leptons, so that a simple relation among the angles has been obtained: $\\tan\\theta_{13}=\\sqrt{2}(\\si"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2645","kind":"arxiv","version":1},"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":"2026-05-18T03:48:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GtZPMfZ+OdhzdzPkIbc/9Kuj81hHYleRKn7XNEtr7A5fWLPNWj4IR6Wyhpxu8WeE8jVdGz9mrMypfyuGqspCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:56:46.666865Z"},"content_sha256":"0223f865b84498974d5d5b04adfa1ddfe47b9eec0e51ae92835bcd6494d9f8ea","schema_version":"1.0","event_id":"sha256:0223f865b84498974d5d5b04adfa1ddfe47b9eec0e51ae92835bcd6494d9f8ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL/bundle.json","state_url":"https://pith.science/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL/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":"2026-05-28T19:56:46Z","links":{"resolver":"https://pith.science/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL","bundle":"https://pith.science/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL/bundle.json","state":"https://pith.science/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WVV7RWSHBWMAAD5G7BM2SJ6COL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WVV7RWSHBWMAAD5G7BM2SJ6COL","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":"1f91b0f3bdbb66d96559e444faf60cbb41b66f8eb0c851da3ffe7068b523ee99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-13T17:23:08Z","title_canon_sha256":"79e41c5378c3b2c0b0211e00bb34e88219cb1aed6f300d07e0f65594951abe5f"},"schema_version":"1.0","source":{"id":"1208.2645","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2645","created_at":"2026-05-18T03:48:57Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2645v1","created_at":"2026-05-18T03:48:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2645","created_at":"2026-05-18T03:48:57Z"},{"alias_kind":"pith_short_12","alias_value":"WVV7RWSHBWMA","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"WVV7RWSHBWMAAD5G","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"WVV7RWSH","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:0223f865b84498974d5d5b04adfa1ddfe47b9eec0e51ae92835bcd6494d9f8ea","target":"graph","created_at":"2026-05-18T03:48:57Z","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 introduce an ansatz of the PMNS matrix that consists of specific types of transformations. Bi-maximal mixing is taken for the neutrino masses, while a single-angle rotation in the 1-2 block is taken for the charged lepton masses. Motivated by the implications of the recent results on neutrino oscillations, $\\theta_{23}$ in the first octant and non-zero $\\theta_{13}$ are predicted by the ansatz. Three physical mixing angles are expressed in terms of a single variable, the 1-2 angle of charged leptons, so that a simple relation among the angles has been obtained: $\\tan\\theta_{13}=\\sqrt{2}(\\si","authors_text":"Kim Siyeon","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-13T17:23:08Z","title":"Ansatz of Leptonic Mixing: The Alliance of Bi-Maximal Mixing with a Single-Angle Rotation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2645","kind":"arxiv","version":1},"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":"sha256:41340f4b42679b9e3842911581805eb079fc3bff91e8bd42e1edbba9ffac0777","target":"record","created_at":"2026-05-18T03:48:57Z","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":"1f91b0f3bdbb66d96559e444faf60cbb41b66f8eb0c851da3ffe7068b523ee99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-13T17:23:08Z","title_canon_sha256":"79e41c5378c3b2c0b0211e00bb34e88219cb1aed6f300d07e0f65594951abe5f"},"schema_version":"1.0","source":{"id":"1208.2645","kind":"arxiv","version":1}},"canonical_sha256":"b56bf8da470d98000fa6f859a927c272f5f29252cd1bf6875fa9b80dfaf49fab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b56bf8da470d98000fa6f859a927c272f5f29252cd1bf6875fa9b80dfaf49fab","first_computed_at":"2026-05-18T03:48:57.358878Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:57.358878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QWSYwgH5X4U3hC3EG3lXtr3B8F0X9XeFvRuFg0e438Osa2gbCW38zpWre7xmPUl8kAniPrDW6lBK4rg5hK1CCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:57.359515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2645","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41340f4b42679b9e3842911581805eb079fc3bff91e8bd42e1edbba9ffac0777","sha256:0223f865b84498974d5d5b04adfa1ddfe47b9eec0e51ae92835bcd6494d9f8ea"],"state_sha256":"9464b3660fa9ec88ae6d4bb868e9e3599da4b4be4f603f4bbb66ffc1272de8b5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mlKheh+vUjolv9t9nkoxB3n0s7yAscFvqjnx0mBqkUb48WNP4ofR8TpiAmSgQqfDS0rS2wzPsbVh1MU8gelpAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:56:46.670147Z","bundle_sha256":"18a25d70e4fac3eb4a34feb535bdc373b6cf134ba14e71624d59f9efe5b46c44"}}