{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:XB4OO3QVB7LPHH2N7ESSGYXUEZ","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":"c4a43e3762dd6774316f8e32203d7744d4412e6545a4071a2aec1d1e64249091","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-05-28T13:46:48Z","title_canon_sha256":"2f91bf2085a655efa4376989ec5129a042a6bea1442d06dad5b0a2d626d0bd22"},"schema_version":"1.0","source":{"id":"hep-th/9305163","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9305163","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9305163v3","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9305163","created_at":"2026-05-18T03:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"XB4OO3QVB7LP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"XB4OO3QVB7LPHH2N","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"XB4OO3QV","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:6cb4367ee3803c5afc598fd7828733a6650f61dccc951d040631d9897725aa1e","target":"graph","created_at":"2026-05-18T03:07:21Z","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 investigate the relationship between the generalized uncertainty principle in quantum gravity and the quantum deformation of the Poincar\\'e algebra. We find that a deformed Newton-Wigner position operator and the generators of spatial translations and rotations of the deformed Poincar\\'e algebra obey a deformed Heisenberg algebra from which the generalized uncertainty principle follows. The result indicates that in the $\\kappa$-deformed Poincar\\'e algebra a minimal observable length emerges naturally.","authors_text":"Michele Maggiore","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1993-05-28T13:46:48Z","title":"Quantum Groups, Gravity, and the Generalized Uncertainty Principle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9305163","kind":"arxiv","version":3},"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:cecefc407dcf78fb184cccf89a058a4368fd00775d945f77385e26ff5e8c0e15","target":"record","created_at":"2026-05-18T03:07:21Z","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":"c4a43e3762dd6774316f8e32203d7744d4412e6545a4071a2aec1d1e64249091","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1993-05-28T13:46:48Z","title_canon_sha256":"2f91bf2085a655efa4376989ec5129a042a6bea1442d06dad5b0a2d626d0bd22"},"schema_version":"1.0","source":{"id":"hep-th/9305163","kind":"arxiv","version":3}},"canonical_sha256":"b878e76e150fd6f39f4df9252362f4264bd8a1f5b209238206fdb66cab505e5c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b878e76e150fd6f39f4df9252362f4264bd8a1f5b209238206fdb66cab505e5c","first_computed_at":"2026-05-18T03:07:21.335996Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:21.335996Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KcCPUT6Mzb8rgK5qh511ZsbzxgdULUidm5VWUVshEnb4JJ2hfK2VoDciWxhBr3ZWKNyWFmo8vP/A5xnV+vQ/Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:21.336622Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9305163","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cecefc407dcf78fb184cccf89a058a4368fd00775d945f77385e26ff5e8c0e15","sha256:6cb4367ee3803c5afc598fd7828733a6650f61dccc951d040631d9897725aa1e"],"state_sha256":"e449ae713b46cc2fe97f5924eae56c4e0b48d63523e8ffca7ec8bcb022443e48"}