{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:ANZNKNF6PWP5FXM3PCNMP4YOJV","short_pith_number":"pith:ANZNKNF6","canonical_record":{"source":{"id":"hep-ph/0302201","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-02-22T02:36:19Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"5683c774983842f8a7a291c92b7fbf7d4b45480f42f7d0915b0a2b368ec2bb2b","abstract_canon_sha256":"0e179c2b5b5ae7bb7ff84f093334f710d266562d6fc4309d5e5f53305a94bcfb"},"schema_version":"1.0"},"canonical_sha256":"0372d534be7d9fd2dd9b789ac7f30e4d79add240c7300d83bced224671036f98","source":{"kind":"arxiv","id":"hep-ph/0302201","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0302201","created_at":"2026-05-18T02:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0302201v2","created_at":"2026-05-18T02:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0302201","created_at":"2026-05-18T02:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"ANZNKNF6PWP5","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"ANZNKNF6PWP5FXM3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"ANZNKNF6","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:ANZNKNF6PWP5FXM3PCNMP4YOJV","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0302201","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-02-22T02:36:19Z","cross_cats_sorted":["hep-ex"],"title_canon_sha256":"5683c774983842f8a7a291c92b7fbf7d4b45480f42f7d0915b0a2b368ec2bb2b","abstract_canon_sha256":"0e179c2b5b5ae7bb7ff84f093334f710d266562d6fc4309d5e5f53305a94bcfb"},"schema_version":"1.0"},"canonical_sha256":"0372d534be7d9fd2dd9b789ac7f30e4d79add240c7300d83bced224671036f98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:36.394364Z","signature_b64":"3OVwb0KlsHHIO4aTRqxjbWiZ3XLBhSXrMy4rJNUznEFsL4mA08PUz9ab3bOrqDTTPAyWg8fK0HqLHF5twiRdBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0372d534be7d9fd2dd9b789ac7f30e4d79add240c7300d83bced224671036f98","last_reissued_at":"2026-05-18T02:36:36.393780Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:36.393780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0302201","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":"2026-05-18T02:36:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CCIap0qWB+7oPTwczVnYBPB0irGGL1zTzgKgokm2+bDinuKebo98f90gn7++SqD48nafXHb19CSgp7nLSrbXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:22:52.042768Z"},"content_sha256":"767ef7d99e1a7044b48a7f06594308ed8857f8910e3416e211c6d8624d042f18","schema_version":"1.0","event_id":"sha256:767ef7d99e1a7044b48a7f06594308ed8857f8910e3416e211c6d8624d042f18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:ANZNKNF6PWP5FXM3PCNMP4YOJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Neutrino Masses with \"Zero Sum\" Condition: $m_{\\nu_1} + m_{\\nu_2} + m_{\\nu_3} = 0$","license":"","headline":"","cross_cats":["hep-ex"],"primary_cat":"hep-ph","authors_text":"A. Zee (KITP, UCSB), X.-G. He (NTU)","submitted_at":"2003-02-22T02:36:19Z","abstract_excerpt":"It is well known that the neutrino mass matrix contains more parameters than experimentalists can hope to measure in the foreseeable future even if we impose CP invariance. Thus, various authors have proposed ansatzes to restrict the form of the neutrino mass matrix further. Here we propose that $m_{\\nu_1} + m_{\\nu_2} + m_{\\nu_3} = 0$; this ``zero sum'' condition can occur in certain class of models, such as models whose neutrino mass matrix can be expressed as commutator of two matrices. With this condition, the absolute neutrino mass can be obtained in terms of the mass-squared differences. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0302201","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":"2026-05-18T02:36:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sk14F1DADTKOgOhOT3ozpeZMvCq5Pt7i684P9s/5Aq1BkMyJiQrqhmrWatTpWCLjQFxLuMqm9NS2QZIFRloJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:22:52.043439Z"},"content_sha256":"9e06af17cdbca1b208a35a0c91800ebaf9e29f066e2c3548eb6492d125923aa6","schema_version":"1.0","event_id":"sha256:9e06af17cdbca1b208a35a0c91800ebaf9e29f066e2c3548eb6492d125923aa6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV/bundle.json","state_url":"https://pith.science/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV/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":"2026-06-04T22:22:52Z","links":{"resolver":"https://pith.science/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV","bundle":"https://pith.science/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV/bundle.json","state":"https://pith.science/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ANZNKNF6PWP5FXM3PCNMP4YOJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:ANZNKNF6PWP5FXM3PCNMP4YOJV","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":"0e179c2b5b5ae7bb7ff84f093334f710d266562d6fc4309d5e5f53305a94bcfb","cross_cats_sorted":["hep-ex"],"license":"","primary_cat":"hep-ph","submitted_at":"2003-02-22T02:36:19Z","title_canon_sha256":"5683c774983842f8a7a291c92b7fbf7d4b45480f42f7d0915b0a2b368ec2bb2b"},"schema_version":"1.0","source":{"id":"hep-ph/0302201","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0302201","created_at":"2026-05-18T02:36:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0302201v2","created_at":"2026-05-18T02:36:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0302201","created_at":"2026-05-18T02:36:36Z"},{"alias_kind":"pith_short_12","alias_value":"ANZNKNF6PWP5","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"ANZNKNF6PWP5FXM3","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"ANZNKNF6","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:9e06af17cdbca1b208a35a0c91800ebaf9e29f066e2c3548eb6492d125923aa6","target":"graph","created_at":"2026-05-18T02:36:36Z","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":"It is well known that the neutrino mass matrix contains more parameters than experimentalists can hope to measure in the foreseeable future even if we impose CP invariance. Thus, various authors have proposed ansatzes to restrict the form of the neutrino mass matrix further. Here we propose that $m_{\\nu_1} + m_{\\nu_2} + m_{\\nu_3} = 0$; this ``zero sum'' condition can occur in certain class of models, such as models whose neutrino mass matrix can be expressed as commutator of two matrices. With this condition, the absolute neutrino mass can be obtained in terms of the mass-squared differences. ","authors_text":"A. Zee (KITP, UCSB), X.-G. He (NTU)","cross_cats":["hep-ex"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2003-02-22T02:36:19Z","title":"Neutrino Masses with \"Zero Sum\" Condition: $m_{\\nu_1} + m_{\\nu_2} + m_{\\nu_3} = 0$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0302201","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":"sha256:767ef7d99e1a7044b48a7f06594308ed8857f8910e3416e211c6d8624d042f18","target":"record","created_at":"2026-05-18T02:36:36Z","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":"0e179c2b5b5ae7bb7ff84f093334f710d266562d6fc4309d5e5f53305a94bcfb","cross_cats_sorted":["hep-ex"],"license":"","primary_cat":"hep-ph","submitted_at":"2003-02-22T02:36:19Z","title_canon_sha256":"5683c774983842f8a7a291c92b7fbf7d4b45480f42f7d0915b0a2b368ec2bb2b"},"schema_version":"1.0","source":{"id":"hep-ph/0302201","kind":"arxiv","version":2}},"canonical_sha256":"0372d534be7d9fd2dd9b789ac7f30e4d79add240c7300d83bced224671036f98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0372d534be7d9fd2dd9b789ac7f30e4d79add240c7300d83bced224671036f98","first_computed_at":"2026-05-18T02:36:36.393780Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:36.393780Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3OVwb0KlsHHIO4aTRqxjbWiZ3XLBhSXrMy4rJNUznEFsL4mA08PUz9ab3bOrqDTTPAyWg8fK0HqLHF5twiRdBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:36.394364Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0302201","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:767ef7d99e1a7044b48a7f06594308ed8857f8910e3416e211c6d8624d042f18","sha256:9e06af17cdbca1b208a35a0c91800ebaf9e29f066e2c3548eb6492d125923aa6"],"state_sha256":"b1f6a797d694692586b218fc3008c8c2f37bf66a19358a585d340919c556af5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vja1FBlEdYpiuoFCsHGf4uIMUpDq0bEIOK+CHVCFl5hSk94wpxbKgIk0ZkkOQ7faLz3W1sNFNGqJBpLUv3sRDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:22:52.046997Z","bundle_sha256":"1a1382ddf770b934f182bac92f2a5852e776eb3cbe5f09877f6c1decff3f00d1"}}