{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GP3AIUZ5CYDYWAM4FV2CYMQQDH","short_pith_number":"pith:GP3AIUZ5","schema_version":"1.0","canonical_sha256":"33f604533d16078b019c2d742c321019f5a2591da8bfa95f87466f98132ed6bb","source":{"kind":"arxiv","id":"1212.4508","version":2},"attestation_state":"computed","paper":{"title":"The NRQED lagrangian at order 1/M^4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","nucl-th","physics.atom-ph"],"primary_cat":"hep-ph","authors_text":"Gabriel Lee, Gil Paz, Mikhail P. Solon, Richard J. Hill","submitted_at":"2012-12-18T21:17:33Z","abstract_excerpt":"The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory becomes nontrivial at this order, and a complete solution for Wilson coefficient constraints is obtained. Matching conditions in the one-fermion sector are presented in terms of form factors and two-photon matrix elements of the nucleon. The extension of NRQED to describe interactions of the heavy fermion with a light fermion is introduced. Sample applications "},"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":"1212.4508","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-12-18T21:17:33Z","cross_cats_sorted":["hep-lat","nucl-th","physics.atom-ph"],"title_canon_sha256":"2a102877a4b14ee12d2eef4771f29280ec0fd38169a1b9311644d73762cec640","abstract_canon_sha256":"5d5f22668e5154b49c0370fa09e2144b76835848a5db08e5284d95e4ab0df42e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:15.845517Z","signature_b64":"oqvk+GDoHm6+WPkxMoZ3uwSUUL7IxGOGFEgr/HMJisFAxL2/NYiIIpbj7LNUor5r10NP0vAsKJKLYvARGdKwAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33f604533d16078b019c2d742c321019f5a2591da8bfa95f87466f98132ed6bb","last_reissued_at":"2026-05-18T03:29:15.845000Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:15.845000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The NRQED lagrangian at order 1/M^4","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","nucl-th","physics.atom-ph"],"primary_cat":"hep-ph","authors_text":"Gabriel Lee, Gil Paz, Mikhail P. Solon, Richard J. Hill","submitted_at":"2012-12-18T21:17:33Z","abstract_excerpt":"The parity and time-reversal invariant effective lagrangian for a heavy fermion interacting with an abelian gauge field, i.e., NRQED, is constructed through order $1/M^4$. The implementation of Lorentz invariance in the effective theory becomes nontrivial at this order, and a complete solution for Wilson coefficient constraints is obtained. Matching conditions in the one-fermion sector are presented in terms of form factors and two-photon matrix elements of the nucleon. The extension of NRQED to describe interactions of the heavy fermion with a light fermion is introduced. Sample applications "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4508","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1212.4508","created_at":"2026-05-18T03:29:15.845079+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.4508v2","created_at":"2026-05-18T03:29:15.845079+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4508","created_at":"2026-05-18T03:29:15.845079+00:00"},{"alias_kind":"pith_short_12","alias_value":"GP3AIUZ5CYDY","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GP3AIUZ5CYDYWAM4","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GP3AIUZ5","created_at":"2026-05-18T12:27:06.952714+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH","json":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH.json","graph_json":"https://pith.science/api/pith-number/GP3AIUZ5CYDYWAM4FV2CYMQQDH/graph.json","events_json":"https://pith.science/api/pith-number/GP3AIUZ5CYDYWAM4FV2CYMQQDH/events.json","paper":"https://pith.science/paper/GP3AIUZ5"},"agent_actions":{"view_html":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH","download_json":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH.json","view_paper":"https://pith.science/paper/GP3AIUZ5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.4508&json=true","fetch_graph":"https://pith.science/api/pith-number/GP3AIUZ5CYDYWAM4FV2CYMQQDH/graph.json","fetch_events":"https://pith.science/api/pith-number/GP3AIUZ5CYDYWAM4FV2CYMQQDH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/action/storage_attestation","attest_author":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/action/author_attestation","sign_citation":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/action/citation_signature","submit_replication":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/action/replication_record"}},"created_at":"2026-05-18T03:29:15.845079+00:00","updated_at":"2026-05-18T03:29:15.845079+00:00"}