{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:SDT2DSESF7HVGR76MYVA6MTAZZ","short_pith_number":"pith:SDT2DSES","schema_version":"1.0","canonical_sha256":"90e7a1c8922fcf5347fe662a0f3260ce7419ce6f9b064471fbba11e4726e5970","source":{"kind":"arxiv","id":"gr-qc/0106052","version":1},"attestation_state":"computed","paper":{"title":"Composition of Lorentz Transformations in Terms of Their Generators","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. Coll, F. San Jose Martinez","submitted_at":"2001-06-15T10:23:25Z","abstract_excerpt":"Two-forms in Minkowski space-time may be considered as generators of Lorentz transformations. Here, the covariant and general expression for the composition law (Baker-Campbell-Hausdorff formula) of two Lorentz transformations in terms of their generators is obtained. Every subalgebra of the Lorentz algebra of such generators, up to one, may be generated by a sole pair of generators. When the subalgebra is known, the above BCH formula for the two two-forms simplifies. Its simplified expressions for all such subalgebras are also given."},"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":"gr-qc/0106052","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-06-15T10:23:25Z","cross_cats_sorted":[],"title_canon_sha256":"db15241138885add46b2c12da233335f8518d6ec43e7dcffe39f12054f898542","abstract_canon_sha256":"2df7278bf1eaa4088a1789b5fd0a894fc48a666dde73cb3dbf7280539cd13357"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:24.204363Z","signature_b64":"HRDbEoXV76wzz8sdxWUnqyCSFsItM/lmK1w0PJC6r5spAMl7kx6JD5eiJwzjT9YT/jDUVDcAHTratkI/owSMBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90e7a1c8922fcf5347fe662a0f3260ce7419ce6f9b064471fbba11e4726e5970","last_reissued_at":"2026-05-18T01:39:24.203562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:24.203562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Composition of Lorentz Transformations in Terms of Their Generators","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"B. Coll, F. San Jose Martinez","submitted_at":"2001-06-15T10:23:25Z","abstract_excerpt":"Two-forms in Minkowski space-time may be considered as generators of Lorentz transformations. Here, the covariant and general expression for the composition law (Baker-Campbell-Hausdorff formula) of two Lorentz transformations in terms of their generators is obtained. Every subalgebra of the Lorentz algebra of such generators, up to one, may be generated by a sole pair of generators. When the subalgebra is known, the above BCH formula for the two two-forms simplifies. Its simplified expressions for all such subalgebras are also given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0106052","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":"gr-qc/0106052","created_at":"2026-05-18T01:39:24.203692+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0106052v1","created_at":"2026-05-18T01:39:24.203692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0106052","created_at":"2026-05-18T01:39:24.203692+00:00"},{"alias_kind":"pith_short_12","alias_value":"SDT2DSESF7HV","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"SDT2DSESF7HVGR76","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"SDT2DSES","created_at":"2026-05-18T12:25:50.845339+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/SDT2DSESF7HVGR76MYVA6MTAZZ","json":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ.json","graph_json":"https://pith.science/api/pith-number/SDT2DSESF7HVGR76MYVA6MTAZZ/graph.json","events_json":"https://pith.science/api/pith-number/SDT2DSESF7HVGR76MYVA6MTAZZ/events.json","paper":"https://pith.science/paper/SDT2DSES"},"agent_actions":{"view_html":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ","download_json":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ.json","view_paper":"https://pith.science/paper/SDT2DSES","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0106052&json=true","fetch_graph":"https://pith.science/api/pith-number/SDT2DSESF7HVGR76MYVA6MTAZZ/graph.json","fetch_events":"https://pith.science/api/pith-number/SDT2DSESF7HVGR76MYVA6MTAZZ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ/action/storage_attestation","attest_author":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ/action/author_attestation","sign_citation":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ/action/citation_signature","submit_replication":"https://pith.science/pith/SDT2DSESF7HVGR76MYVA6MTAZZ/action/replication_record"}},"created_at":"2026-05-18T01:39:24.203692+00:00","updated_at":"2026-05-18T01:39:24.203692+00:00"}