{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FOAV4BDFNFVM7Z7N526RHR3GCF","short_pith_number":"pith:FOAV4BDF","schema_version":"1.0","canonical_sha256":"2b815e0465696acfe7edeebd13c76611555d289f7665ec01056a185f1d71a491","source":{"kind":"arxiv","id":"1604.05726","version":1},"attestation_state":"computed","paper":{"title":"Baryon Number, Lepton Number, and Operator Dimension in the Standard Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andrew Kobach","submitted_at":"2016-04-19T20:00:13Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1604.05726","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-19T20:00:13Z","cross_cats_sorted":[],"title_canon_sha256":"5b2464655f851aa56c175be3d03ea0d1f13a86a009c8680839597f31b8fed145","abstract_canon_sha256":"02883e2a4fee7244df5cc678fe09af5caea96c28a541f2777aabeb23f67ca848"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:14.468931Z","signature_b64":"ZSCWWpzjCR4mA3roRzjNAuY90N+BYM8mHQMC9V9FDlw+IndW6z8lpeqoy6ojQRHHlWDjuRo8WWF9zUxEPGWZCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b815e0465696acfe7edeebd13c76611555d289f7665ec01056a185f1d71a491","last_reissued_at":"2026-05-18T01:10:14.468401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:14.468401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Baryon Number, Lepton Number, and Operator Dimension in the Standard Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Andrew Kobach","submitted_at":"2016-04-19T20:00:13Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05726","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.05726","created_at":"2026-05-18T01:10:14.468487+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.05726v1","created_at":"2026-05-18T01:10:14.468487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.05726","created_at":"2026-05-18T01:10:14.468487+00:00"},{"alias_kind":"pith_short_12","alias_value":"FOAV4BDFNFVM","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FOAV4BDFNFVM7Z7N","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FOAV4BDF","created_at":"2026-05-18T12:30:15.759754+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"1906.10631","citing_title":"Towards global fits in EFT's and New Physics implications","ref_index":11,"is_internal_anchor":true},{"citing_arxiv_id":"2511.23410","citing_title":"The Art of Counting: a reappraisal of the HEFT expansion","ref_index":79,"is_internal_anchor":true},{"citing_arxiv_id":"2605.02878","citing_title":"Finite-temperature operator basis on $\\mathbb{R}^3 \\times S^1$ for SMEFT","ref_index":108,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF","json":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF.json","graph_json":"https://pith.science/api/pith-number/FOAV4BDFNFVM7Z7N526RHR3GCF/graph.json","events_json":"https://pith.science/api/pith-number/FOAV4BDFNFVM7Z7N526RHR3GCF/events.json","paper":"https://pith.science/paper/FOAV4BDF"},"agent_actions":{"view_html":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF","download_json":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF.json","view_paper":"https://pith.science/paper/FOAV4BDF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.05726&json=true","fetch_graph":"https://pith.science/api/pith-number/FOAV4BDFNFVM7Z7N526RHR3GCF/graph.json","fetch_events":"https://pith.science/api/pith-number/FOAV4BDFNFVM7Z7N526RHR3GCF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF/action/storage_attestation","attest_author":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF/action/author_attestation","sign_citation":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF/action/citation_signature","submit_replication":"https://pith.science/pith/FOAV4BDFNFVM7Z7N526RHR3GCF/action/replication_record"}},"created_at":"2026-05-18T01:10:14.468487+00:00","updated_at":"2026-05-18T01:10:14.468487+00:00"}