{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:YJHSQ44GRTIFFC4HUQRBPAKPC7","short_pith_number":"pith:YJHSQ44G","schema_version":"1.0","canonical_sha256":"c24f2873868cd0528b87a42217814f17f474e72e6bb964e3cdcb89fa80f3933e","source":{"kind":"arxiv","id":"0812.4775","version":4},"attestation_state":"computed","paper":{"title":"Single-slit diffraction and the Heisenberg principle for position and momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"I. Hoffmann, T. Sch\\\"urmann, W. G\\\"orlich","submitted_at":"2008-12-27T22:52:18Z","abstract_excerpt":"Monochromatic light is prepared by a single slit of spatial width {\\Delta}x. The diffraction pattern is considered to obtain the corresponding probability density of the momentum. Let P be the probability weight to measure a momentum in a finite window of width {\\Delta}p. For small {\\Delta}p the asymptotic law P ~ {\\Delta}x{\\Delta}p/h is verified, while h is Planck's constant of action."},"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":"0812.4775","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-12-27T22:52:18Z","cross_cats_sorted":[],"title_canon_sha256":"6037d7370673483159c496871d0975019eda7eb34dbfde58486a65f633696a2f","abstract_canon_sha256":"83f7e80bd463944d7ece7177a62530be6e1d6d27d8c54543418a037f99c46c29"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:34.209589Z","signature_b64":"i2jds/E44ucmmLOh+VUdIiQkMqCa6Lszs3MReVYh3E7DZ9Sr+I/oLBdtpjnutDUYD6GoJ0XbJOcMqL1hDlI0Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c24f2873868cd0528b87a42217814f17f474e72e6bb964e3cdcb89fa80f3933e","last_reissued_at":"2026-05-18T04:32:34.208949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:34.208949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Single-slit diffraction and the Heisenberg principle for position and momentum","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"I. Hoffmann, T. Sch\\\"urmann, W. G\\\"orlich","submitted_at":"2008-12-27T22:52:18Z","abstract_excerpt":"Monochromatic light is prepared by a single slit of spatial width {\\Delta}x. The diffraction pattern is considered to obtain the corresponding probability density of the momentum. Let P be the probability weight to measure a momentum in a finite window of width {\\Delta}p. For small {\\Delta}p the asymptotic law P ~ {\\Delta}x{\\Delta}p/h is verified, while h is Planck's constant of action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0812.4775","kind":"arxiv","version":4},"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":"0812.4775","created_at":"2026-05-18T04:32:34.209044+00:00"},{"alias_kind":"arxiv_version","alias_value":"0812.4775v4","created_at":"2026-05-18T04:32:34.209044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0812.4775","created_at":"2026-05-18T04:32:34.209044+00:00"},{"alias_kind":"pith_short_12","alias_value":"YJHSQ44GRTIF","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"YJHSQ44GRTIFFC4H","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"YJHSQ44G","created_at":"2026-05-18T12:25:58.018023+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/YJHSQ44GRTIFFC4HUQRBPAKPC7","json":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7.json","graph_json":"https://pith.science/api/pith-number/YJHSQ44GRTIFFC4HUQRBPAKPC7/graph.json","events_json":"https://pith.science/api/pith-number/YJHSQ44GRTIFFC4HUQRBPAKPC7/events.json","paper":"https://pith.science/paper/YJHSQ44G"},"agent_actions":{"view_html":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7","download_json":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7.json","view_paper":"https://pith.science/paper/YJHSQ44G","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0812.4775&json=true","fetch_graph":"https://pith.science/api/pith-number/YJHSQ44GRTIFFC4HUQRBPAKPC7/graph.json","fetch_events":"https://pith.science/api/pith-number/YJHSQ44GRTIFFC4HUQRBPAKPC7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7/action/storage_attestation","attest_author":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7/action/author_attestation","sign_citation":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7/action/citation_signature","submit_replication":"https://pith.science/pith/YJHSQ44GRTIFFC4HUQRBPAKPC7/action/replication_record"}},"created_at":"2026-05-18T04:32:34.209044+00:00","updated_at":"2026-05-18T04:32:34.209044+00:00"}