{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FOAV4BDFNFVM7Z7N526RHR3GCF","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":"02883e2a4fee7244df5cc678fe09af5caea96c28a541f2777aabeb23f67ca848","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-19T20:00:13Z","title_canon_sha256":"5b2464655f851aa56c175be3d03ea0d1f13a86a009c8680839597f31b8fed145"},"schema_version":"1.0","source":{"id":"1604.05726","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.05726","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1604.05726v1","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05726","created_at":"2026-05-18T01:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"FOAV4BDFNFVM","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FOAV4BDFNFVM7Z7N","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FOAV4BDF","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:7acd6b299fa315587c0bee2a5c7d93f653fc4bec8db5e0a579a3940314a596cb","target":"graph","created_at":"2026-05-18T01:10:14Z","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 prove that for a given operator in the Standard Model (SM) with baryon number B and lepton number L, that the operator's dimension is even (odd) if (B-L)/2 is even (odd). Consequently, this establishes the veracity of statements that were long observed or expected to be true, but not proven, e.g., operators with B-L=0 are of even dimension, B-L must be an even number, etc. These results remain true even if the SM is augmented by any number of right-handed neutrinos with L=1.","authors_text":"Andrew Kobach","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-19T20:00:13Z","title":"Baryon Number, Lepton Number, and Operator Dimension in the Standard Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05726","kind":"arxiv","version":1},"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":"sha256:1cedf0c19356c8c5fd4e28e4cb3a9e2699dd20a86694ad54eedfbb9ecc6a5082","target":"record","created_at":"2026-05-18T01:10:14Z","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":"02883e2a4fee7244df5cc678fe09af5caea96c28a541f2777aabeb23f67ca848","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-19T20:00:13Z","title_canon_sha256":"5b2464655f851aa56c175be3d03ea0d1f13a86a009c8680839597f31b8fed145"},"schema_version":"1.0","source":{"id":"1604.05726","kind":"arxiv","version":1}},"canonical_sha256":"2b815e0465696acfe7edeebd13c76611555d289f7665ec01056a185f1d71a491","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b815e0465696acfe7edeebd13c76611555d289f7665ec01056a185f1d71a491","first_computed_at":"2026-05-18T01:10:14.468401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:14.468401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZSCWWpzjCR4mA3roRzjNAuY90N+BYM8mHQMC9V9FDlw+IndW6z8lpeqoy6ojQRHHlWDjuRo8WWF9zUxEPGWZCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:14.468931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.05726","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cedf0c19356c8c5fd4e28e4cb3a9e2699dd20a86694ad54eedfbb9ecc6a5082","sha256:7acd6b299fa315587c0bee2a5c7d93f653fc4bec8db5e0a579a3940314a596cb"],"state_sha256":"1beb1912c22882cfbc97369d6873f33b6dd8bd414f1845c30e0ac64dec458773"}