{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6EBXQR4AHZ2HIPPT3G7URDOD7U","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":"298713342f7775ea39f7ac6705b5edf979f51dd3c5caead9f6380001e0bc3abd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-31T05:40:11Z","title_canon_sha256":"432f9f14650a50b1a8f5e61182c2172518005ce3b5c8cda01a701baf4bb2a522"},"schema_version":"1.0","source":{"id":"1008.5222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.5222","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"arxiv_version","alias_value":"1008.5222v1","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.5222","created_at":"2026-05-18T03:23:47Z"},{"alias_kind":"pith_short_12","alias_value":"6EBXQR4AHZ2H","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6EBXQR4AHZ2HIPPT","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6EBXQR4A","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:0dc4d432e08cd550432c81fa48aab21b80afc2159e1afe23be81ec3f6f8f64b5","target":"graph","created_at":"2026-05-18T03:23:47Z","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":"We discuss the scattering equivalence of the generalized Bakamjian-Thomas construction of dynamical representations of the Poincar\\'e group in all of Dirac's forms of dynamics. The equivalence was established by Sokolov in the context of proving that the equivalence holds for models that satisfy cluster separability. The generalized Bakamjian Thomas construction is used in most applications, even though it only satisfies cluster properties for systems of less than four particles. Different forms of dynamics are related by unitary transformations that remove interactions from some infinitesimal","authors_text":"W. N. Polyzou","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-31T05:40:11Z","title":"Comment on the equivalence of Bakamjian-Thomas mass operators in different forms of dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.5222","kind":"arxiv","version":1},"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":"sha256:416002e8575b9058a852ce7f1dbc075fc44228e7c86310049b5ecfa4fe89fffc","target":"record","created_at":"2026-05-18T03:23:47Z","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":"298713342f7775ea39f7ac6705b5edf979f51dd3c5caead9f6380001e0bc3abd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-08-31T05:40:11Z","title_canon_sha256":"432f9f14650a50b1a8f5e61182c2172518005ce3b5c8cda01a701baf4bb2a522"},"schema_version":"1.0","source":{"id":"1008.5222","kind":"arxiv","version":1}},"canonical_sha256":"f1037847803e74743df3d9bf488dc3fd18bdd45246f001d76810de732029e5a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1037847803e74743df3d9bf488dc3fd18bdd45246f001d76810de732029e5a0","first_computed_at":"2026-05-18T03:23:47.759124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:23:47.759124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E2PYrMKvPGt+Mo17HnkPpnzcBi2i/8crflixGYkM8Qb60k3/J2P+UeUAkNu4Ql+FkxPGvuqi9rsqLahcgJ2IDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:23:47.759640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.5222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:416002e8575b9058a852ce7f1dbc075fc44228e7c86310049b5ecfa4fe89fffc","sha256:0dc4d432e08cd550432c81fa48aab21b80afc2159e1afe23be81ec3f6f8f64b5"],"state_sha256":"4c401500d8eff067283348980d2056985cb3b618bd10851d70d9d0db7d837ab5"}