{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KGFMDTTVFXVSLPKMB7FGT36GPX","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":"51176ffc6e457e69770bddf18ac7874cadb7f722040af79e78d270f223cf5772","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-23T05:55:35Z","title_canon_sha256":"536c4ed01777ae66cfa194ed6312643c6d8d7d8b14df8cdce9bfee7ac6e12166"},"schema_version":"1.0","source":{"id":"1806.08913","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.08913","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"arxiv_version","alias_value":"1806.08913v1","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.08913","created_at":"2026-05-18T00:08:06Z"},{"alias_kind":"pith_short_12","alias_value":"KGFMDTTVFXVS","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KGFMDTTVFXVSLPKM","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KGFMDTTV","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:a7b5d706d283048a2d62cdf408907c7e070b2402f09823abca3d6c029d465d7d","target":"graph","created_at":"2026-05-18T00:08:06Z","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 challenge the widespread belief, originated by Newton and Wigner (Rev. Mod. Phys, 21, 400 (1949)) that the incorporation of special relativity into quantum mechanics implies that a massive particle cannot be localized within an arbitrarily small spatial extent, that there is a minimum width approximately equal to the Compton wavelength. Our argument is in four parts. First, the scalar function used by Newton and Wigner as a measure of localization is not a position probability amplitude. The correct relativistic position probability amplitude becomes a delta function for a state vector loca","authors_text":"Scott E. Hoffmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-23T05:55:35Z","title":"The minimum width in relativistic quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.08913","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":"sha256:1e89a311ad3ab8f13ea8514ef9e3271bf7d08f74d276fdd225674a06eaa00c13","target":"record","created_at":"2026-05-18T00:08:06Z","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":"51176ffc6e457e69770bddf18ac7874cadb7f722040af79e78d270f223cf5772","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-06-23T05:55:35Z","title_canon_sha256":"536c4ed01777ae66cfa194ed6312643c6d8d7d8b14df8cdce9bfee7ac6e12166"},"schema_version":"1.0","source":{"id":"1806.08913","kind":"arxiv","version":1}},"canonical_sha256":"518ac1ce752deb25bd4c0fca69efc67de39ac131f6a67890380bea11558439db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"518ac1ce752deb25bd4c0fca69efc67de39ac131f6a67890380bea11558439db","first_computed_at":"2026-05-18T00:08:06.288265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:06.288265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YGbhqeQTWVenY417j+faVnG0Arnr7AFbQZ0gIiEu2jqCTGsoVN01x+kqLpDZbnYLFS+iH/wL0+63lIrlGvzrBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:06.288875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.08913","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1e89a311ad3ab8f13ea8514ef9e3271bf7d08f74d276fdd225674a06eaa00c13","sha256:a7b5d706d283048a2d62cdf408907c7e070b2402f09823abca3d6c029d465d7d"],"state_sha256":"2c14fe887ab7c6a77ad918fc325fed689e5551cc7ca7829ab0ea488cb57f9bf2"}