{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ILIESAKBUS7OMZJYUSV3UAQMNA","short_pith_number":"pith:ILIESAKB","canonical_record":{"source":{"id":"1604.03039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-11T17:31:26Z","cross_cats_sorted":[],"title_canon_sha256":"458ec5e17a44aece5a344298149db49528a9e6350bc1518cd90a44f59066e14d","abstract_canon_sha256":"54a7ac7592c6be2c2b04ec7faf18d2fcdf3026511f03085e533ce5f6fa94a442"},"schema_version":"1.0"},"canonical_sha256":"42d0490141a4bee66538a4abba020c68036d44eee70732e9d1faa893fc84dfab","source":{"kind":"arxiv","id":"1604.03039","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03039","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03039v2","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03039","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"ILIESAKBUS7O","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"ILIESAKBUS7OMZJY","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"ILIESAKB","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ILIESAKBUS7OMZJYUSV3UAQMNA","target":"record","payload":{"canonical_record":{"source":{"id":"1604.03039","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-11T17:31:26Z","cross_cats_sorted":[],"title_canon_sha256":"458ec5e17a44aece5a344298149db49528a9e6350bc1518cd90a44f59066e14d","abstract_canon_sha256":"54a7ac7592c6be2c2b04ec7faf18d2fcdf3026511f03085e533ce5f6fa94a442"},"schema_version":"1.0"},"canonical_sha256":"42d0490141a4bee66538a4abba020c68036d44eee70732e9d1faa893fc84dfab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:41.603181Z","signature_b64":"zXNqpl5gsky8AHvMFGOkyO5DUjdJzv24N7KSHSWewu6oozms+YdzCgmUfCWtskLB+f2OtqSOWfuV31CY3XJPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42d0490141a4bee66538a4abba020c68036d44eee70732e9d1faa893fc84dfab","last_reissued_at":"2026-05-18T01:09:41.602551Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:41.602551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.03039","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":"2026-05-18T01:09:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yLU82VtaItz7fhlhEOVtM9MlvtZNoI1PLi1RjIz95qFtzJWhb9UQ8gTzLmCBI4wKhZzv1HQY7SXMT2YkbtwsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:13:03.522119Z"},"content_sha256":"706d46cd2130ff7930a7a9f91c017f8f6fa24451ec7b50cf5383c5e35db8f49f","schema_version":"1.0","event_id":"sha256:706d46cd2130ff7930a7a9f91c017f8f6fa24451ec7b50cf5383c5e35db8f49f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ILIESAKBUS7OMZJYUSV3UAQMNA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radiative Corrections to the Solar Lepton Mixing Sum Rule","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jue Zhang, Shun Zhou","submitted_at":"2016-04-11T17:31:26Z","abstract_excerpt":"The simple correlation among three lepton flavor mixing angles $(\\theta^{}_{12}, \\theta^{}_{13}, \\theta^{}_{23})$ and the leptonic Dirac CP-violating phase $\\delta$ is conventionally called a sum rule of lepton flavor mixing, which may be derived from a class of neutrino mass models with flavor symmetries. In this paper, we consider the solar lepton mixing sum rule $\\theta^{}_{12} \\approx \\theta^{\\nu}_{12} + \\theta^{}_{13} \\cos \\delta$, where $\\theta^\\nu_{12}$ stems from a constant mixing pattern in the neutrino sector and takes the value of $\\theta^\\nu_{12} = 45^\\circ$ for the bi-maximal mixi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03039","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":"2026-05-18T01:09:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOigbRdSqFK7szBEcMt/LzVJo9ge96nhVEMGi6ZQdtaxvL58dy1yZErlpkdmv4z2+GWaK6vOfRDmzkImU1GOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T04:13:03.522765Z"},"content_sha256":"11e5467f03a63479df0e6cf5ecd5402daa4beac04b979425a6e4cb9bc48868f4","schema_version":"1.0","event_id":"sha256:11e5467f03a63479df0e6cf5ecd5402daa4beac04b979425a6e4cb9bc48868f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ILIESAKBUS7OMZJYUSV3UAQMNA/bundle.json","state_url":"https://pith.science/pith/ILIESAKBUS7OMZJYUSV3UAQMNA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ILIESAKBUS7OMZJYUSV3UAQMNA/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":"2026-05-24T04:13:03Z","links":{"resolver":"https://pith.science/pith/ILIESAKBUS7OMZJYUSV3UAQMNA","bundle":"https://pith.science/pith/ILIESAKBUS7OMZJYUSV3UAQMNA/bundle.json","state":"https://pith.science/pith/ILIESAKBUS7OMZJYUSV3UAQMNA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ILIESAKBUS7OMZJYUSV3UAQMNA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ILIESAKBUS7OMZJYUSV3UAQMNA","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":"54a7ac7592c6be2c2b04ec7faf18d2fcdf3026511f03085e533ce5f6fa94a442","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-11T17:31:26Z","title_canon_sha256":"458ec5e17a44aece5a344298149db49528a9e6350bc1518cd90a44f59066e14d"},"schema_version":"1.0","source":{"id":"1604.03039","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03039","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03039v2","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03039","created_at":"2026-05-18T01:09:41Z"},{"alias_kind":"pith_short_12","alias_value":"ILIESAKBUS7O","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"ILIESAKBUS7OMZJY","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"ILIESAKB","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:11e5467f03a63479df0e6cf5ecd5402daa4beac04b979425a6e4cb9bc48868f4","target":"graph","created_at":"2026-05-18T01:09:41Z","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 simple correlation among three lepton flavor mixing angles $(\\theta^{}_{12}, \\theta^{}_{13}, \\theta^{}_{23})$ and the leptonic Dirac CP-violating phase $\\delta$ is conventionally called a sum rule of lepton flavor mixing, which may be derived from a class of neutrino mass models with flavor symmetries. In this paper, we consider the solar lepton mixing sum rule $\\theta^{}_{12} \\approx \\theta^{\\nu}_{12} + \\theta^{}_{13} \\cos \\delta$, where $\\theta^\\nu_{12}$ stems from a constant mixing pattern in the neutrino sector and takes the value of $\\theta^\\nu_{12} = 45^\\circ$ for the bi-maximal mixi","authors_text":"Jue Zhang, Shun Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-11T17:31:26Z","title":"Radiative Corrections to the Solar Lepton Mixing Sum Rule"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03039","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":"sha256:706d46cd2130ff7930a7a9f91c017f8f6fa24451ec7b50cf5383c5e35db8f49f","target":"record","created_at":"2026-05-18T01:09:41Z","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":"54a7ac7592c6be2c2b04ec7faf18d2fcdf3026511f03085e533ce5f6fa94a442","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-11T17:31:26Z","title_canon_sha256":"458ec5e17a44aece5a344298149db49528a9e6350bc1518cd90a44f59066e14d"},"schema_version":"1.0","source":{"id":"1604.03039","kind":"arxiv","version":2}},"canonical_sha256":"42d0490141a4bee66538a4abba020c68036d44eee70732e9d1faa893fc84dfab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42d0490141a4bee66538a4abba020c68036d44eee70732e9d1faa893fc84dfab","first_computed_at":"2026-05-18T01:09:41.602551Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:41.602551Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zXNqpl5gsky8AHvMFGOkyO5DUjdJzv24N7KSHSWewu6oozms+YdzCgmUfCWtskLB+f2OtqSOWfuV31CY3XJPAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:41.603181Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03039","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:706d46cd2130ff7930a7a9f91c017f8f6fa24451ec7b50cf5383c5e35db8f49f","sha256:11e5467f03a63479df0e6cf5ecd5402daa4beac04b979425a6e4cb9bc48868f4"],"state_sha256":"500ecef231268f86bbf563ae58a895d19ba5fa55e090b3825f149a2ab4f2094d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ok7BOcKlUVXpwbtxcL0F375lLXfw/qRkrwOiOvVEsEn9WAXRg+SZIltKZUFdKFlyVnR0RLOvSEouPhNDFoA/Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T04:13:03.526827Z","bundle_sha256":"086dbc622c65e22734bace2811c783701bd99550bb46bf50a3821cfa8df13d15"}}