{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CVT6LWIKB4EWJHDBR2SVXNEM6Q","short_pith_number":"pith:CVT6LWIK","schema_version":"1.0","canonical_sha256":"1567e5d90a0f09649c618ea55bb48cf4102f62d5f69b8b69c4922fe27c7ab078","source":{"kind":"arxiv","id":"1703.07558","version":2},"attestation_state":"computed","paper":{"title":"Conditional $1/f^{\\alpha}$ noise: from single molecules to macroscopic measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Barkai, N. Leibovich","submitted_at":"2017-03-22T08:15:35Z","abstract_excerpt":"We demonstrate that the measurement of $1/f^{\\alpha}$ noise at the single molecule or nano-object limit is remarkably distinct from the macroscopic measurement over a large sample. The single particle measurements yield a conditional time-dependent spectrum. However, the number of units fluctuating on the time scale of the experiment is increasing in such a way that the macroscopic measurements appear perfectly stationary. The single particle power spectrum is a conditional spectrum, in the sense that we must make a distinction between idler and non-idler units on the time scale of the experim"},"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":"1703.07558","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-03-22T08:15:35Z","cross_cats_sorted":[],"title_canon_sha256":"6b600eabc6c5c947d05317aebc0b2dbc312228f467175eeb0fefc2f8f1bcd2ab","abstract_canon_sha256":"435e1410c4dfb0225fff3ffeaf24987515a07cd22875ce9a198a30fddbc50ed1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:20.583043Z","signature_b64":"HXOkaiS4XTmJRpkeRbuA3hKtmkeWWXkqPP0Mxc9AZTRRFBMJJ8m864QDf1bOo3/HO2P7MilBSza6QNwknomTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1567e5d90a0f09649c618ea55bb48cf4102f62d5f69b8b69c4922fe27c7ab078","last_reissued_at":"2026-05-18T00:34:20.582476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:20.582476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conditional $1/f^{\\alpha}$ noise: from single molecules to macroscopic measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"E. Barkai, N. Leibovich","submitted_at":"2017-03-22T08:15:35Z","abstract_excerpt":"We demonstrate that the measurement of $1/f^{\\alpha}$ noise at the single molecule or nano-object limit is remarkably distinct from the macroscopic measurement over a large sample. The single particle measurements yield a conditional time-dependent spectrum. However, the number of units fluctuating on the time scale of the experiment is increasing in such a way that the macroscopic measurements appear perfectly stationary. The single particle power spectrum is a conditional spectrum, in the sense that we must make a distinction between idler and non-idler units on the time scale of the experim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.07558","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":"1703.07558","created_at":"2026-05-18T00:34:20.582541+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.07558v2","created_at":"2026-05-18T00:34:20.582541+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.07558","created_at":"2026-05-18T00:34:20.582541+00:00"},{"alias_kind":"pith_short_12","alias_value":"CVT6LWIKB4EW","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CVT6LWIKB4EWJHDB","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CVT6LWIK","created_at":"2026-05-18T12:31:10.602751+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/CVT6LWIKB4EWJHDBR2SVXNEM6Q","json":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q.json","graph_json":"https://pith.science/api/pith-number/CVT6LWIKB4EWJHDBR2SVXNEM6Q/graph.json","events_json":"https://pith.science/api/pith-number/CVT6LWIKB4EWJHDBR2SVXNEM6Q/events.json","paper":"https://pith.science/paper/CVT6LWIK"},"agent_actions":{"view_html":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q","download_json":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q.json","view_paper":"https://pith.science/paper/CVT6LWIK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.07558&json=true","fetch_graph":"https://pith.science/api/pith-number/CVT6LWIKB4EWJHDBR2SVXNEM6Q/graph.json","fetch_events":"https://pith.science/api/pith-number/CVT6LWIKB4EWJHDBR2SVXNEM6Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q/action/storage_attestation","attest_author":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q/action/author_attestation","sign_citation":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q/action/citation_signature","submit_replication":"https://pith.science/pith/CVT6LWIKB4EWJHDBR2SVXNEM6Q/action/replication_record"}},"created_at":"2026-05-18T00:34:20.582541+00:00","updated_at":"2026-05-18T00:34:20.582541+00:00"}