{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SCHKL5YHXVZPNMKX6QYF6NSTYN","short_pith_number":"pith:SCHKL5YH","canonical_record":{"source":{"id":"1604.02658","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-10T09:18:34Z","cross_cats_sorted":[],"title_canon_sha256":"d9ca4452c2c8f12641dbd3b8f8a06e68659356bedbc54e98b85e60576c76a065","abstract_canon_sha256":"76220d724d460475db37436ed15bd21478be253984e20dc9410e9369df9f3780"},"schema_version":"1.0"},"canonical_sha256":"908ea5f707bd72f6b157f4305f3653c34ad3ad3b3d2a36545dcc796cc0feef9f","source":{"kind":"arxiv","id":"1604.02658","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02658","created_at":"2026-05-18T01:13:30Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02658v2","created_at":"2026-05-18T01:13:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02658","created_at":"2026-05-18T01:13:30Z"},{"alias_kind":"pith_short_12","alias_value":"SCHKL5YHXVZP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SCHKL5YHXVZPNMKX","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SCHKL5YH","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SCHKL5YHXVZPNMKX6QYF6NSTYN","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02658","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-10T09:18:34Z","cross_cats_sorted":[],"title_canon_sha256":"d9ca4452c2c8f12641dbd3b8f8a06e68659356bedbc54e98b85e60576c76a065","abstract_canon_sha256":"76220d724d460475db37436ed15bd21478be253984e20dc9410e9369df9f3780"},"schema_version":"1.0"},"canonical_sha256":"908ea5f707bd72f6b157f4305f3653c34ad3ad3b3d2a36545dcc796cc0feef9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:30.287245Z","signature_b64":"2BYuMdoXfdFD/S3ynzUZI8h2oKqnb2DR9DuxddsuPRL2jUcTjf4wOrB6RWBXY+HWyjb26BgsxlNPXms4SbFZCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"908ea5f707bd72f6b157f4305f3653c34ad3ad3b3d2a36545dcc796cc0feef9f","last_reissued_at":"2026-05-18T01:13:30.286539Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:30.286539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02658","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":"2026-05-18T01:13:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TZlFJF9xxaKdUiqP0DmT1P8vYHn3h6wUhbvTfwi6KS4OyCjtIJdGX9nPs00UpmqmSHaPrK6xixbDxWELoM9aAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:21:30.900169Z"},"content_sha256":"62cb86a9d6a8d4e708548fe72c70abe0f32ab38ac710c59dface2c3b20a59c2f","schema_version":"1.0","event_id":"sha256:62cb86a9d6a8d4e708548fe72c70abe0f32ab38ac710c59dface2c3b20a59c2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SCHKL5YHXVZPNMKX6QYF6NSTYN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sum Rules for Leptons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Martin Spinrath","submitted_at":"2016-04-10T09:18:34Z","abstract_excerpt":"There is a wide class of models which give a dynamical description of the origin of flavour in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing angles and the Dirac CP phase with each other and/or on the other hand neutrino masses and Majorana phases with each other. We will briefly sketch how this happens and discuss briefly the impact of renormalisation group corrections to the mass sum rules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02658","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":"2026-05-18T01:13:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SdYm7bncWBltC7Rw4oL4EQZTaZrzbI399GYSUVq27tqeJ2KIyyk1FFtdMN1qg5DQ0vAyEC75X4P3HAf9yQOmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:21:30.900526Z"},"content_sha256":"217c499bbc2c3a9e9e318050e0cbd7744b2c5dbd26246079d76e1cec01d570f2","schema_version":"1.0","event_id":"sha256:217c499bbc2c3a9e9e318050e0cbd7744b2c5dbd26246079d76e1cec01d570f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN/bundle.json","state_url":"https://pith.science/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN/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":"2026-06-01T20:21:30Z","links":{"resolver":"https://pith.science/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN","bundle":"https://pith.science/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN/bundle.json","state":"https://pith.science/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SCHKL5YHXVZPNMKX6QYF6NSTYN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SCHKL5YHXVZPNMKX6QYF6NSTYN","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":"76220d724d460475db37436ed15bd21478be253984e20dc9410e9369df9f3780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-10T09:18:34Z","title_canon_sha256":"d9ca4452c2c8f12641dbd3b8f8a06e68659356bedbc54e98b85e60576c76a065"},"schema_version":"1.0","source":{"id":"1604.02658","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02658","created_at":"2026-05-18T01:13:30Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02658v2","created_at":"2026-05-18T01:13:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02658","created_at":"2026-05-18T01:13:30Z"},{"alias_kind":"pith_short_12","alias_value":"SCHKL5YHXVZP","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SCHKL5YHXVZPNMKX","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SCHKL5YH","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:217c499bbc2c3a9e9e318050e0cbd7744b2c5dbd26246079d76e1cec01d570f2","target":"graph","created_at":"2026-05-18T01:13:30Z","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 is a wide class of models which give a dynamical description of the origin of flavour in terms of spontaneous symmetry breaking of an underlying symmetry. Many of these models exhibit sum rules which relate on the one hand mixing angles and the Dirac CP phase with each other and/or on the other hand neutrino masses and Majorana phases with each other. We will briefly sketch how this happens and discuss briefly the impact of renormalisation group corrections to the mass sum rules.","authors_text":"Martin Spinrath","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-10T09:18:34Z","title":"Sum Rules for Leptons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02658","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":"sha256:62cb86a9d6a8d4e708548fe72c70abe0f32ab38ac710c59dface2c3b20a59c2f","target":"record","created_at":"2026-05-18T01:13:30Z","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":"76220d724d460475db37436ed15bd21478be253984e20dc9410e9369df9f3780","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-10T09:18:34Z","title_canon_sha256":"d9ca4452c2c8f12641dbd3b8f8a06e68659356bedbc54e98b85e60576c76a065"},"schema_version":"1.0","source":{"id":"1604.02658","kind":"arxiv","version":2}},"canonical_sha256":"908ea5f707bd72f6b157f4305f3653c34ad3ad3b3d2a36545dcc796cc0feef9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"908ea5f707bd72f6b157f4305f3653c34ad3ad3b3d2a36545dcc796cc0feef9f","first_computed_at":"2026-05-18T01:13:30.286539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:30.286539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2BYuMdoXfdFD/S3ynzUZI8h2oKqnb2DR9DuxddsuPRL2jUcTjf4wOrB6RWBXY+HWyjb26BgsxlNPXms4SbFZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:30.287245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02658","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62cb86a9d6a8d4e708548fe72c70abe0f32ab38ac710c59dface2c3b20a59c2f","sha256:217c499bbc2c3a9e9e318050e0cbd7744b2c5dbd26246079d76e1cec01d570f2"],"state_sha256":"75b6d576f07dd6bdab1abcf4ebab27cb304d8ea2e14413988889a1d710f427ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x/7Bivr21fbPWFoiefEesKrLUQ+eJuxfibUNFEV4o6sc817raIMGLsOYB2+Rqt4cUmDpXuwt20XNfBt2GAfTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:21:30.902373Z","bundle_sha256":"a50a1ed7aff42b94b443efc66cbf27415b7a5a334cf429e9113053a4bfc6180a"}}