{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PPB2HIPEZDHDKI3K3JGBYMKTDC","short_pith_number":"pith:PPB2HIPE","canonical_record":{"source":{"id":"hep-ph/0606220","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-06-21T02:08:56Z","cross_cats_sorted":[],"title_canon_sha256":"d85b58e49b57c152f4ab2daaf5530ac654332723a4bf1df8563d1feb8e156dd5","abstract_canon_sha256":"0fb323fe7987274a251155f0abf37c929a146cb5ac767377704e027abc1dd259"},"schema_version":"1.0"},"canonical_sha256":"7bc3a3a1e4c8ce35236ada4c1c315318af2800d15730172adbfaa08c9570ef26","source":{"kind":"arxiv","id":"hep-ph/0606220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0606220","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0606220v2","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0606220","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"PPB2HIPEZDHD","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"pith_short_16","alias_value":"PPB2HIPEZDHDKI3K","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"pith_short_8","alias_value":"PPB2HIPE","created_at":"2026-07-04T17:01:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PPB2HIPEZDHDKI3K3JGBYMKTDC","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0606220","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-06-21T02:08:56Z","cross_cats_sorted":[],"title_canon_sha256":"d85b58e49b57c152f4ab2daaf5530ac654332723a4bf1df8563d1feb8e156dd5","abstract_canon_sha256":"0fb323fe7987274a251155f0abf37c929a146cb5ac767377704e027abc1dd259"},"schema_version":"1.0"},"canonical_sha256":"7bc3a3a1e4c8ce35236ada4c1c315318af2800d15730172adbfaa08c9570ef26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:01:46.221781Z","signature_b64":"SEtYKw2lG4Lzy7hZVauTf3r76NpPPFMMgT6Gd4dscYeJuJaNlQ1JHzu3jqlxT2ShYDlPqwcjj7+txs6o/ZN8CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bc3a3a1e4c8ce35236ada4c1c315318af2800d15730172adbfaa08c9570ef26","last_reissued_at":"2026-07-04T17:01:46.221434Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:01:46.221434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0606220","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":"2026-07-04T17:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oaCJvgyLNg5dkIqfBFI2pTWdOZW1BWVjkJIrbcWUKsT3qEA3EaGjd2eynQV0ZaiyVuXstHrORVQC5oKz5TPvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T04:24:22.788509Z"},"content_sha256":"34df5fac7bd74e34643c1ae5f78e810681fb767c03a44b43f0db1451aa2ec2c0","schema_version":"1.0","event_id":"sha256:34df5fac7bd74e34643c1ae5f78e810681fb767c03a44b43f0db1451aa2ec2c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PPB2HIPEZDHDKI3K3JGBYMKTDC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C.S. Lam","submitted_at":"2006-06-21T02:08:56Z","abstract_excerpt":"Observed neutrino mixing can be described by a tribimaximal MNS matrix. The resulting neutrino mass matrix in the basis of a diagonal charged lepton mass matrix is both 2-3 symmetric and magic. By a magic matrix, I mean one whose row sums and column sums are all identical. I study what happens if 2-3 symmetry is broken but the magic symmetry is kept intact. In that case, the mixing matrix is parameterized by a single complex parameter $U_{e3}$, in a form discussed recently by Bjorken, Harrison, and Scott."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0606220","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0606220/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:01:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aWsEn8W8xWaL8AN8um9dKKsvYuOAkXfeibCzOJ0sbVo0H+t6Bv4WGkVfOJQrgQH5PxCDVBjLziS30n70yyp+AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T04:24:22.789019Z"},"content_sha256":"3b40dedbeb3e75ce53525326cf015a4da684e1aec57176002f17e06bc1d1977c","schema_version":"1.0","event_id":"sha256:3b40dedbeb3e75ce53525326cf015a4da684e1aec57176002f17e06bc1d1977c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC/bundle.json","state_url":"https://pith.science/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC/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":"2026-08-22T04:24:22Z","links":{"resolver":"https://pith.science/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC","bundle":"https://pith.science/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC/bundle.json","state":"https://pith.science/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PPB2HIPEZDHDKI3K3JGBYMKTDC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PPB2HIPEZDHDKI3K3JGBYMKTDC","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":"0fb323fe7987274a251155f0abf37c929a146cb5ac767377704e027abc1dd259","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-06-21T02:08:56Z","title_canon_sha256":"d85b58e49b57c152f4ab2daaf5530ac654332723a4bf1df8563d1feb8e156dd5"},"schema_version":"1.0","source":{"id":"hep-ph/0606220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0606220","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0606220v2","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0606220","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"pith_short_12","alias_value":"PPB2HIPEZDHD","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"pith_short_16","alias_value":"PPB2HIPEZDHDKI3K","created_at":"2026-07-04T17:01:46Z"},{"alias_kind":"pith_short_8","alias_value":"PPB2HIPE","created_at":"2026-07-04T17:01:46Z"}],"graph_snapshots":[{"event_id":"sha256:3b40dedbeb3e75ce53525326cf015a4da684e1aec57176002f17e06bc1d1977c","target":"graph","created_at":"2026-07-04T17:01:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/0606220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Observed neutrino mixing can be described by a tribimaximal MNS matrix. The resulting neutrino mass matrix in the basis of a diagonal charged lepton mass matrix is both 2-3 symmetric and magic. By a magic matrix, I mean one whose row sums and column sums are all identical. I study what happens if 2-3 symmetry is broken but the magic symmetry is kept intact. In that case, the mixing matrix is parameterized by a single complex parameter $U_{e3}$, in a form discussed recently by Bjorken, Harrison, and Scott.","authors_text":"C.S. Lam","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-06-21T02:08:56Z","title":"Magic Neutrino Mass Matrix and the Bjorken-Harrison-Scott Parameterization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0606220","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":"sha256:34df5fac7bd74e34643c1ae5f78e810681fb767c03a44b43f0db1451aa2ec2c0","target":"record","created_at":"2026-07-04T17:01:46Z","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":"0fb323fe7987274a251155f0abf37c929a146cb5ac767377704e027abc1dd259","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-06-21T02:08:56Z","title_canon_sha256":"d85b58e49b57c152f4ab2daaf5530ac654332723a4bf1df8563d1feb8e156dd5"},"schema_version":"1.0","source":{"id":"hep-ph/0606220","kind":"arxiv","version":2}},"canonical_sha256":"7bc3a3a1e4c8ce35236ada4c1c315318af2800d15730172adbfaa08c9570ef26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bc3a3a1e4c8ce35236ada4c1c315318af2800d15730172adbfaa08c9570ef26","first_computed_at":"2026-07-04T17:01:46.221434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:01:46.221434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SEtYKw2lG4Lzy7hZVauTf3r76NpPPFMMgT6Gd4dscYeJuJaNlQ1JHzu3jqlxT2ShYDlPqwcjj7+txs6o/ZN8CA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:01:46.221781Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0606220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34df5fac7bd74e34643c1ae5f78e810681fb767c03a44b43f0db1451aa2ec2c0","sha256:3b40dedbeb3e75ce53525326cf015a4da684e1aec57176002f17e06bc1d1977c"],"state_sha256":"3a3c2d39a398678eea86690b3bd2fbf221be6fd63e2abf32e5121dca283eeead"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YiURgyjRn9ZsgC2BMD7WWvGmI82smYIu1LZuKuumZyWZP7MB6B8shI4f6aEozdCv1DiWE9hap9I7eNI38prxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T04:24:22.794279Z","bundle_sha256":"5c4fe5858cefe0474715a92da1b4fdbd3aab574cb529ce6fb46990e971c6523b"}}