{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:OZSM7NOMEVSJA64EAU3XPNYHN4","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":"5e96f1b5ed0a489039e28abbe28468a382b800f0c0f69dc1198ae06c3e96cada","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-13T07:56:54Z","title_canon_sha256":"48a5137653ae0d213217fec64e637966acf85a8e455723d270453c31570f7a12"},"schema_version":"1.0","source":{"id":"1903.05348","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.05348","created_at":"2026-05-17T23:50:44Z"},{"alias_kind":"arxiv_version","alias_value":"1903.05348v2","created_at":"2026-05-17T23:50:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.05348","created_at":"2026-05-17T23:50:44Z"},{"alias_kind":"pith_short_12","alias_value":"OZSM7NOMEVSJ","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"OZSM7NOMEVSJA64E","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"OZSM7NOM","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:20693f51de10012107ef2f6a8d29fec5f91d9154635fb6b3cae3df813ee4ba3d","target":"graph","created_at":"2026-05-17T23:50:44Z","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":"It is noted that the single-variable Heisenberg commutation relation contains the symmetry of the $Sp(2)$ group which is isomorphic to the Lorentz group applicable to one time-like dimension and two space-like dimensions, known as the $O(2,1)$ group. According to Paul A. M. Dirac, from the uncertainty commutation relations for two variables, it possible to construct the de Sitter group $O(3,2)$, namely the Lorentz group applicable to three space-like variables and two time-like variables. By contracting one of the time-like variables in $O(3,2)$, it is possible, to construct the inhomogeneous ","authors_text":"Marilyn E. Noz, Sibel Baskal, Young S. Kim","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-13T07:56:54Z","title":"Poincar\\'e Symmetry from Heisenberg's Uncertainty Relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.05348","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":"sha256:1fc22d972b443920b2c77301fa4909bdb2a5a3b24bd89584baa58a420cbe956c","target":"record","created_at":"2026-05-17T23:50:44Z","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":"5e96f1b5ed0a489039e28abbe28468a382b800f0c0f69dc1198ae06c3e96cada","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-03-13T07:56:54Z","title_canon_sha256":"48a5137653ae0d213217fec64e637966acf85a8e455723d270453c31570f7a12"},"schema_version":"1.0","source":{"id":"1903.05348","kind":"arxiv","version":2}},"canonical_sha256":"7664cfb5cc2564907b84053777b7076f00ec3aabdd61414f535a559337fe21a4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7664cfb5cc2564907b84053777b7076f00ec3aabdd61414f535a559337fe21a4","first_computed_at":"2026-05-17T23:50:44.443707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:44.443707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3xVq0MByGYeqYjvCJecCfLG2ZwBoUITgi/4vt2mlane9rn1vqYGATPXs8lg+qUMOUXEgzEg5DPiOB2gw2V2xAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:44.444256Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.05348","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fc22d972b443920b2c77301fa4909bdb2a5a3b24bd89584baa58a420cbe956c","sha256:20693f51de10012107ef2f6a8d29fec5f91d9154635fb6b3cae3df813ee4ba3d"],"state_sha256":"8dcac552a41d551919975f5c2a2ba4e4aeb296666524abfa6f788358781acd7f"}