{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:N247XJLXGFFPGYBFHTXFZUYR7U","short_pith_number":"pith:N247XJLX","schema_version":"1.0","canonical_sha256":"6eb9fba577314af360253cee5cd311fd3b6bf1bf629d680d13e735b12778baa2","source":{"kind":"arxiv","id":"1801.00994","version":2},"attestation_state":"computed","paper":{"title":"Quantum uncertainty relation based on the mean deviation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arun Kumar Pati, Chiranjib Mukhopadhyay, Gautam Sharma, Sk Sazim","submitted_at":"2018-01-03T13:18:51Z","abstract_excerpt":"Traditional forms of quantum uncertainty relations are invariably based on the standard deviation. This can be understood in the historical context of simultaneous development of quantum theory and mathematical statistics. Here, we present alternative forms of uncertainty relations, in both state dependent and state independent forms, based on the mean deviation. We illustrate the robustness of this formulation in situations where the standard deviation based uncertainty relation is inapplicable. We apply the mean deviation based uncertainty relation to detect EPR violation in a lossy scenario"},"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":"1801.00994","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-01-03T13:18:51Z","cross_cats_sorted":[],"title_canon_sha256":"6ce5318b499508c0945396ce75332d07a0210e82bbaf65d6732e54c0e8b5a9f2","abstract_canon_sha256":"833ceb726d7d2371b65990a93bcc61f840736a7a23e9b6d05d2bc7dc1dd72677"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:32.208708Z","signature_b64":"J+EEShBvB4A7tCUD4ni8UJ736B55FElaLQtgMtxV1PtCtcg4P+o9asg3Cu/rSl8ZOR4AGO0rL8eKh3+n3zAMBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6eb9fba577314af360253cee5cd311fd3b6bf1bf629d680d13e735b12778baa2","last_reissued_at":"2026-05-18T00:05:32.208153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:32.208153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum uncertainty relation based on the mean deviation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Arun Kumar Pati, Chiranjib Mukhopadhyay, Gautam Sharma, Sk Sazim","submitted_at":"2018-01-03T13:18:51Z","abstract_excerpt":"Traditional forms of quantum uncertainty relations are invariably based on the standard deviation. This can be understood in the historical context of simultaneous development of quantum theory and mathematical statistics. Here, we present alternative forms of uncertainty relations, in both state dependent and state independent forms, based on the mean deviation. We illustrate the robustness of this formulation in situations where the standard deviation based uncertainty relation is inapplicable. We apply the mean deviation based uncertainty relation to detect EPR violation in a lossy scenario"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00994","kind":"arxiv","version":2},"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":"1801.00994","created_at":"2026-05-18T00:05:32.208238+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.00994v2","created_at":"2026-05-18T00:05:32.208238+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00994","created_at":"2026-05-18T00:05:32.208238+00:00"},{"alias_kind":"pith_short_12","alias_value":"N247XJLXGFFP","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"N247XJLXGFFPGYBF","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"N247XJLX","created_at":"2026-05-18T12:32:40.477152+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/N247XJLXGFFPGYBFHTXFZUYR7U","json":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U.json","graph_json":"https://pith.science/api/pith-number/N247XJLXGFFPGYBFHTXFZUYR7U/graph.json","events_json":"https://pith.science/api/pith-number/N247XJLXGFFPGYBFHTXFZUYR7U/events.json","paper":"https://pith.science/paper/N247XJLX"},"agent_actions":{"view_html":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U","download_json":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U.json","view_paper":"https://pith.science/paper/N247XJLX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.00994&json=true","fetch_graph":"https://pith.science/api/pith-number/N247XJLXGFFPGYBFHTXFZUYR7U/graph.json","fetch_events":"https://pith.science/api/pith-number/N247XJLXGFFPGYBFHTXFZUYR7U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U/action/storage_attestation","attest_author":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U/action/author_attestation","sign_citation":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U/action/citation_signature","submit_replication":"https://pith.science/pith/N247XJLXGFFPGYBFHTXFZUYR7U/action/replication_record"}},"created_at":"2026-05-18T00:05:32.208238+00:00","updated_at":"2026-05-18T00:05:32.208238+00:00"}