{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:CCRD5BOXHOKJIIKSHWXUPFRR6K","short_pith_number":"pith:CCRD5BOX","canonical_record":{"source":{"id":"1306.5927","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-25T11:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"dd3877733fdb8c158242a4b714112d3e57df89d87d1ced6b3bba2bbc968e241a","abstract_canon_sha256":"36655ead5272bbef7427febfaf6b57bd34d77be06ccb4e9104360d48b79787d3"},"schema_version":"1.0"},"canonical_sha256":"10a23e85d73b949421523daf479631f2a66b928ac643b82fb645478388945f71","source":{"kind":"arxiv","id":"1306.5927","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5927","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5927v2","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5927","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"CCRD5BOXHOKJ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CCRD5BOXHOKJIIKS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CCRD5BOX","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:CCRD5BOXHOKJIIKSHWXUPFRR6K","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5927","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-25T11:40:10Z","cross_cats_sorted":[],"title_canon_sha256":"dd3877733fdb8c158242a4b714112d3e57df89d87d1ced6b3bba2bbc968e241a","abstract_canon_sha256":"36655ead5272bbef7427febfaf6b57bd34d77be06ccb4e9104360d48b79787d3"},"schema_version":"1.0"},"canonical_sha256":"10a23e85d73b949421523daf479631f2a66b928ac643b82fb645478388945f71","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:08.114985Z","signature_b64":"j+qaFQqFkcKoKkeISvUPFt/Of6jIStZA+7HXLTaQuMXFBJqNvbNNh8XMjKppm3a/Zs8RokOlPDpdhWheJ7xeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10a23e85d73b949421523daf479631f2a66b928ac643b82fb645478388945f71","last_reissued_at":"2026-05-18T01:49:08.114425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:08.114425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5927","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":"2026-05-18T01:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ngBn6yv9Kio7xW1/AuYqCKowQKAUBdgny21gHddctKQwciWjnPL7LfEiIXKf7YQegKrPbCVERySFcciT75olBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T23:38:52.384299Z"},"content_sha256":"5b00dcddb87273824dd64d72e1d2d60c66eb087dca8080ad97141b660c0f196c","schema_version":"1.0","event_id":"sha256:5b00dcddb87273824dd64d72e1d2d60c66eb087dca8080ad97141b660c0f196c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:CCRD5BOXHOKJIIKSHWXUPFRR6K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Mixing and Masses from a Minimum Principle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"G. Isidori, L. Maiani, M. B. Gavela, R. Alonso","submitted_at":"2013-06-25T11:40:10Z","abstract_excerpt":"We analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\\left[SU(3)\\right]^5\\otimes \\mathcal O(3)$ flavor symmetry, acting on Standard Model fermions and right-handed neutrinos. Unlike the quark case, we show that hierarchical masses for charged leptons are naturally accompanied by degenerate Majorana neutrinos with one mixing angle close to maximal, a second potentially large, a third one necessarily small, and one maximal relative Majorana phase. Adding small perturba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5927","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":"2026-05-18T01:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4B/ooAZ03LhgGJNMn2tJ7r9oMdMQJLekkkUCr49ZOeF0USV/vQIhBP3dby7FLeVApqlK/+975zD3ffk8alEUBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T23:38:52.385042Z"},"content_sha256":"bc1ff3500f115d39da28b0cfd9a1e0ccc2a50b913129510ff9a6f5f005deedf7","schema_version":"1.0","event_id":"sha256:bc1ff3500f115d39da28b0cfd9a1e0ccc2a50b913129510ff9a6f5f005deedf7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K/bundle.json","state_url":"https://pith.science/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K/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":"2026-05-20T23:38:52Z","links":{"resolver":"https://pith.science/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K","bundle":"https://pith.science/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K/bundle.json","state":"https://pith.science/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CCRD5BOXHOKJIIKSHWXUPFRR6K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:CCRD5BOXHOKJIIKSHWXUPFRR6K","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":"36655ead5272bbef7427febfaf6b57bd34d77be06ccb4e9104360d48b79787d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-25T11:40:10Z","title_canon_sha256":"dd3877733fdb8c158242a4b714112d3e57df89d87d1ced6b3bba2bbc968e241a"},"schema_version":"1.0","source":{"id":"1306.5927","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5927","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5927v2","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5927","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"CCRD5BOXHOKJ","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"CCRD5BOXHOKJIIKS","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"CCRD5BOX","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:bc1ff3500f115d39da28b0cfd9a1e0ccc2a50b913129510ff9a6f5f005deedf7","target":"graph","created_at":"2026-05-18T01:49:08Z","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 analyze the structure of quark and lepton mass matrices under the hypothesis that they are determined from a minimum principle applied to a generic potential invariant under the $\\left[SU(3)\\right]^5\\otimes \\mathcal O(3)$ flavor symmetry, acting on Standard Model fermions and right-handed neutrinos. Unlike the quark case, we show that hierarchical masses for charged leptons are naturally accompanied by degenerate Majorana neutrinos with one mixing angle close to maximal, a second potentially large, a third one necessarily small, and one maximal relative Majorana phase. Adding small perturba","authors_text":"G. Isidori, L. Maiani, M. B. Gavela, R. Alonso","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-25T11:40:10Z","title":"Neutrino Mixing and Masses from a Minimum Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5927","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":"sha256:5b00dcddb87273824dd64d72e1d2d60c66eb087dca8080ad97141b660c0f196c","target":"record","created_at":"2026-05-18T01:49:08Z","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":"36655ead5272bbef7427febfaf6b57bd34d77be06ccb4e9104360d48b79787d3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-06-25T11:40:10Z","title_canon_sha256":"dd3877733fdb8c158242a4b714112d3e57df89d87d1ced6b3bba2bbc968e241a"},"schema_version":"1.0","source":{"id":"1306.5927","kind":"arxiv","version":2}},"canonical_sha256":"10a23e85d73b949421523daf479631f2a66b928ac643b82fb645478388945f71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10a23e85d73b949421523daf479631f2a66b928ac643b82fb645478388945f71","first_computed_at":"2026-05-18T01:49:08.114425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:08.114425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j+qaFQqFkcKoKkeISvUPFt/Of6jIStZA+7HXLTaQuMXFBJqNvbNNh8XMjKppm3a/Zs8RokOlPDpdhWheJ7xeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:08.114985Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5927","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b00dcddb87273824dd64d72e1d2d60c66eb087dca8080ad97141b660c0f196c","sha256:bc1ff3500f115d39da28b0cfd9a1e0ccc2a50b913129510ff9a6f5f005deedf7"],"state_sha256":"c5325eb4e8f2595babc5ea867588d6e4f91532fd37dbd8e5a0659252fe3e599e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"htLqt27hAliFtFinfCynv6Ck6/d24r5Des7Y4JZd3SnVCpflqXNZYcbYAvgMfZRFqkLCbk8A8ZYteYE3V25TCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T23:38:52.392342Z","bundle_sha256":"d235c3a8e8df1ebd1ff6cf803b1a4605a0d5151d0dc6d25ababd4bdcdfb94c87"}}