{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GP3AIUZ5CYDYWAM4FV2CYMQQDH","short_pith_number":"pith:GP3AIUZ5","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"},"canonical_sha256":"33f604533d16078b019c2d742c321019f5a2591da8bfa95f87466f98132ed6bb","source":{"kind":"arxiv","id":"1212.4508","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4508","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4508v2","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4508","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"GP3AIUZ5CYDY","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GP3AIUZ5CYDYWAM4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GP3AIUZ5","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GP3AIUZ5CYDYWAM4FV2CYMQQDH","target":"record","payload":{"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"},"canonical_sha256":"33f604533d16078b019c2d742c321019f5a2591da8bfa95f87466f98132ed6bb","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"},"source_kind":"arxiv","source_id":"1212.4508","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":"2026-05-18T03:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EO/ZrSNBDhvxMEUHW57L19Cp+0sihAZ9m5WFQxfkHZk1rERSElaLTPmJocVoF8Vk3eFmhAv9XWD00pN8UCk2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:45:17.257572Z"},"content_sha256":"b9e6d542484f9cb79c7ca73507fe07117b4a1844299fe2922dde30fc79642cb2","schema_version":"1.0","event_id":"sha256:b9e6d542484f9cb79c7ca73507fe07117b4a1844299fe2922dde30fc79642cb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GP3AIUZ5CYDYWAM4FV2CYMQQDH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:29:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CH27i0Az2W/D9TeBpLcETKWvJ5LB7ycZunkik4YO/d8YEaqCFLjFhSjTzpZNLDbsFdrxpc1ctlF3U+ApmBCPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:45:17.258258Z"},"content_sha256":"6f47f2b7cc7c7603f37f04a48ed3c41a790fd41534d6ead0772f750e43184d70","schema_version":"1.0","event_id":"sha256:6f47f2b7cc7c7603f37f04a48ed3c41a790fd41534d6ead0772f750e43184d70"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/bundle.json","state_url":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/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":"2026-05-31T19:45:17Z","links":{"resolver":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH","bundle":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/bundle.json","state":"https://pith.science/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GP3AIUZ5CYDYWAM4FV2CYMQQDH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GP3AIUZ5CYDYWAM4FV2CYMQQDH","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":"5d5f22668e5154b49c0370fa09e2144b76835848a5db08e5284d95e4ab0df42e","cross_cats_sorted":["hep-lat","nucl-th","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-12-18T21:17:33Z","title_canon_sha256":"2a102877a4b14ee12d2eef4771f29280ec0fd38169a1b9311644d73762cec640"},"schema_version":"1.0","source":{"id":"1212.4508","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4508","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4508v2","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4508","created_at":"2026-05-18T03:29:15Z"},{"alias_kind":"pith_short_12","alias_value":"GP3AIUZ5CYDY","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GP3AIUZ5CYDYWAM4","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GP3AIUZ5","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:6f47f2b7cc7c7603f37f04a48ed3c41a790fd41534d6ead0772f750e43184d70","target":"graph","created_at":"2026-05-18T03:29:15Z","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 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 ","authors_text":"Gabriel Lee, Gil Paz, Mikhail P. Solon, Richard J. Hill","cross_cats":["hep-lat","nucl-th","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-12-18T21:17:33Z","title":"The NRQED lagrangian at order 1/M^4"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4508","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:b9e6d542484f9cb79c7ca73507fe07117b4a1844299fe2922dde30fc79642cb2","target":"record","created_at":"2026-05-18T03:29:15Z","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":"5d5f22668e5154b49c0370fa09e2144b76835848a5db08e5284d95e4ab0df42e","cross_cats_sorted":["hep-lat","nucl-th","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-12-18T21:17:33Z","title_canon_sha256":"2a102877a4b14ee12d2eef4771f29280ec0fd38169a1b9311644d73762cec640"},"schema_version":"1.0","source":{"id":"1212.4508","kind":"arxiv","version":2}},"canonical_sha256":"33f604533d16078b019c2d742c321019f5a2591da8bfa95f87466f98132ed6bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"33f604533d16078b019c2d742c321019f5a2591da8bfa95f87466f98132ed6bb","first_computed_at":"2026-05-18T03:29:15.845000Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:15.845000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oqvk+GDoHm6+WPkxMoZ3uwSUUL7IxGOGFEgr/HMJisFAxL2/NYiIIpbj7LNUor5r10NP0vAsKJKLYvARGdKwAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:15.845517Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4508","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9e6d542484f9cb79c7ca73507fe07117b4a1844299fe2922dde30fc79642cb2","sha256:6f47f2b7cc7c7603f37f04a48ed3c41a790fd41534d6ead0772f750e43184d70"],"state_sha256":"63f173352ef346a37f922e5598bc6f66c9b7399edf1f4ae4c20f5f18c56c2018"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+K+a26w6nKYJs1+/hAmiQizxwzpqY0jfm7o8ch6Km5MIsfI8rZqz/ZINPlnaf+Q1SVyvl1e3rRM9Fkq8E/7aDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:45:17.262748Z","bundle_sha256":"64ddfff698f81e21b4c77a1d7245178cabb9fcf136dc431effaba75b8c840446"}}