{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HPXFMUWQZEHSIHKJQDPMA6OHTP","short_pith_number":"pith:HPXFMUWQ","canonical_record":{"source":{"id":"1812.11657","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T01:00:31Z","cross_cats_sorted":[],"title_canon_sha256":"4183efbe9632a2642180c618c6232655c9fbd3b61e417755c5027b86d033e713","abstract_canon_sha256":"4a8f2ae52dbbabd2240ddf448687c8ad37f69086e2cd6cbcaca73e3611075265"},"schema_version":"1.0"},"canonical_sha256":"3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb","source":{"kind":"arxiv","id":"1812.11657","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11657","created_at":"2026-05-17T23:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11657v2","created_at":"2026-05-17T23:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11657","created_at":"2026-05-17T23:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"HPXFMUWQZEHS","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HPXFMUWQZEHSIHKJ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HPXFMUWQ","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HPXFMUWQZEHSIHKJQDPMA6OHTP","target":"record","payload":{"canonical_record":{"source":{"id":"1812.11657","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T01:00:31Z","cross_cats_sorted":[],"title_canon_sha256":"4183efbe9632a2642180c618c6232655c9fbd3b61e417755c5027b86d033e713","abstract_canon_sha256":"4a8f2ae52dbbabd2240ddf448687c8ad37f69086e2cd6cbcaca73e3611075265"},"schema_version":"1.0"},"canonical_sha256":"3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:31.279373Z","signature_b64":"gl5E4I3LxL86OudEcFUamy6KWhzi2UApvbHvV7QPqqnDsg7X13JNiu5eILq46sZuWfdlaqUSgqKnXkpOIObfBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb","last_reissued_at":"2026-05-17T23:45:31.278677Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:31.278677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.11657","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":"2026-05-17T23:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EOldfBbs345ejwwo2Th6te43yObS3bqWxuItreBCr+w/M3nOD/Crkb6d07CAqtPk2Q2LKn3n42NYjtE5YFQAAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T23:00:34.279292Z"},"content_sha256":"14c574345d308fd68c61cb66c9e787daa6ca947f349302d2723f1ef4d827c423","schema_version":"1.0","event_id":"sha256:14c574345d308fd68c61cb66c9e787daa6ca947f349302d2723f1ef4d827c423"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HPXFMUWQZEHSIHKJQDPMA6OHTP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Baltazar J. Ribeiro, Bruno Gon\\c{c}alves, M\\'ario M. Dias J\\'unior","submitted_at":"2018-12-31T01:00:31Z","abstract_excerpt":"The Exact Foldy-Wouthuysen transformation (EFWT) method is generalized here. In principle, it is not possible to construct the EFWT to any Hamiltonian. The transformation conditions are the same but the involution operator has a new form. We took a special example and constructed explicitly the new involution operator that allows one to perform the transformation. We treat the case of the Hamiltonian with 160 possible CPT-Lorentz breaking terms, using this new technique. The transformation was performed and physics analysis of the equations of motion is shown."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11657","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":"2026-05-17T23:45:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FwEroOJgzNUDpZiuiQrqgfcRyLRkkaOM/TUWfxHVV36qCzTtzfdK2YseZmBOn6wLI82yHWvPbCdu8bzMW7o8BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T23:00:34.279981Z"},"content_sha256":"63beafb1d0aae9f9b8ccc5e14adf0421597cec8409de9d4d206257612cc0a1e4","schema_version":"1.0","event_id":"sha256:63beafb1d0aae9f9b8ccc5e14adf0421597cec8409de9d4d206257612cc0a1e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP/bundle.json","state_url":"https://pith.science/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP/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":"2026-05-23T23:00:34Z","links":{"resolver":"https://pith.science/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP","bundle":"https://pith.science/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP/bundle.json","state":"https://pith.science/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPXFMUWQZEHSIHKJQDPMA6OHTP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HPXFMUWQZEHSIHKJQDPMA6OHTP","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":"4a8f2ae52dbbabd2240ddf448687c8ad37f69086e2cd6cbcaca73e3611075265","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T01:00:31Z","title_canon_sha256":"4183efbe9632a2642180c618c6232655c9fbd3b61e417755c5027b86d033e713"},"schema_version":"1.0","source":{"id":"1812.11657","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11657","created_at":"2026-05-17T23:45:31Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11657v2","created_at":"2026-05-17T23:45:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11657","created_at":"2026-05-17T23:45:31Z"},{"alias_kind":"pith_short_12","alias_value":"HPXFMUWQZEHS","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HPXFMUWQZEHSIHKJ","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HPXFMUWQ","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:63beafb1d0aae9f9b8ccc5e14adf0421597cec8409de9d4d206257612cc0a1e4","target":"graph","created_at":"2026-05-17T23:45:31Z","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 Exact Foldy-Wouthuysen transformation (EFWT) method is generalized here. In principle, it is not possible to construct the EFWT to any Hamiltonian. The transformation conditions are the same but the involution operator has a new form. We took a special example and constructed explicitly the new involution operator that allows one to perform the transformation. We treat the case of the Hamiltonian with 160 possible CPT-Lorentz breaking terms, using this new technique. The transformation was performed and physics analysis of the equations of motion is shown.","authors_text":"Baltazar J. Ribeiro, Bruno Gon\\c{c}alves, M\\'ario M. Dias J\\'unior","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T01:00:31Z","title":"The Exact Foldy-Wouthuysen Transformation for a Dirac Theory Revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11657","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":"sha256:14c574345d308fd68c61cb66c9e787daa6ca947f349302d2723f1ef4d827c423","target":"record","created_at":"2026-05-17T23:45:31Z","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":"4a8f2ae52dbbabd2240ddf448687c8ad37f69086e2cd6cbcaca73e3611075265","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T01:00:31Z","title_canon_sha256":"4183efbe9632a2642180c618c6232655c9fbd3b61e417755c5027b86d033e713"},"schema_version":"1.0","source":{"id":"1812.11657","kind":"arxiv","version":2}},"canonical_sha256":"3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bee5652d0c90f241d4980dec079c79bc2721e485a946c18d2f208ad707772fb","first_computed_at":"2026-05-17T23:45:31.278677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:31.278677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gl5E4I3LxL86OudEcFUamy6KWhzi2UApvbHvV7QPqqnDsg7X13JNiu5eILq46sZuWfdlaqUSgqKnXkpOIObfBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:31.279373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11657","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14c574345d308fd68c61cb66c9e787daa6ca947f349302d2723f1ef4d827c423","sha256:63beafb1d0aae9f9b8ccc5e14adf0421597cec8409de9d4d206257612cc0a1e4"],"state_sha256":"187bd4026f6bbfab260f52930b9423af5d3e2f6939a685d93b23d7f663c84a7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LNwwzL121oWDpEvjUqfxuR7gy0gIusVuE0wf9OBarjMUL9io5ObPzxlP/PdeKh+iXvYm+r5JY2KJICCjc/3XDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T23:00:34.283698Z","bundle_sha256":"32536582b15b048e1505cfe7cb05d5003b2d0f3ab86f6c3d655e3d84068decaf"}}