{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:2QZJSD2ADHEKYZHNXGWBUQJXLP","short_pith_number":"pith:2QZJSD2A","schema_version":"1.0","canonical_sha256":"d432990f4019c8ac64edb9ac1a41375bf72cd331d02d1ab65f28f4d25e8904bc","source":{"kind":"arxiv","id":"2608.07938","version":1},"attestation_state":"computed","paper":{"title":"Quantum Chinese Remainder Clock","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alioscia Hamma, Ivri Nagar, Matthew Radzihovsky, Mikel Palmero, Seth Lloyd, Shouzhuo Yang","submitted_at":"2026-08-08T05:57:52Z","abstract_excerpt":"The Chinese remainder theorem is used in metrology for extending the range of quantum clocks/radar/interferometry, where the phase of a signal is known relative to a set of oscillators with different periods. This paper investigates the performance of a quantum-mechanical Chinese remainder clock, consisting of atoms/oscillators with pairwise coprime periods. We provide the optimal initial state and the optimal Heisenberg-limited quantum measurements for measuring time up to the product of the periods. We introduce a novel fault-tolerant post-processing protocol that allows reconstruction of th"},"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":"2608.07938","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-08T05:57:52Z","cross_cats_sorted":[],"title_canon_sha256":"ba27cf5ba7a8fc27cb56bada9a9163420a9d9c3f995692ea2da725faabb0d2c0","abstract_canon_sha256":"9f58454a0b6bec8f2e932f31c2df756c79114be44c1028e36184287990305c34"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:19:03.578562Z","signature_b64":"XzguXnWGNdcChnoS+bl9VFvpgjLlD0ORKs1oma1ZRtpuoc27RHWpT/Mjw+eWH7WVcVjIfHCpL35z3hEWJYRIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d432990f4019c8ac64edb9ac1a41375bf72cd331d02d1ab65f28f4d25e8904bc","last_reissued_at":"2026-08-11T01:19:03.576018Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:19:03.576018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Chinese Remainder Clock","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alioscia Hamma, Ivri Nagar, Matthew Radzihovsky, Mikel Palmero, Seth Lloyd, Shouzhuo Yang","submitted_at":"2026-08-08T05:57:52Z","abstract_excerpt":"The Chinese remainder theorem is used in metrology for extending the range of quantum clocks/radar/interferometry, where the phase of a signal is known relative to a set of oscillators with different periods. This paper investigates the performance of a quantum-mechanical Chinese remainder clock, consisting of atoms/oscillators with pairwise coprime periods. We provide the optimal initial state and the optimal Heisenberg-limited quantum measurements for measuring time up to the product of the periods. We introduce a novel fault-tolerant post-processing protocol that allows reconstruction of th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07938","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.07938/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2608.07938","created_at":"2026-08-11T01:19:03.576891+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.07938v1","created_at":"2026-08-11T01:19:03.576891+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07938","created_at":"2026-08-11T01:19:03.576891+00:00"},{"alias_kind":"pith_short_12","alias_value":"2QZJSD2ADHEK","created_at":"2026-08-11T01:19:03.576891+00:00"},{"alias_kind":"pith_short_16","alias_value":"2QZJSD2ADHEKYZHN","created_at":"2026-08-11T01:19:03.576891+00:00"},{"alias_kind":"pith_short_8","alias_value":"2QZJSD2A","created_at":"2026-08-11T01:19:03.576891+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/2QZJSD2ADHEKYZHNXGWBUQJXLP","json":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP.json","graph_json":"https://pith.science/api/pith-number/2QZJSD2ADHEKYZHNXGWBUQJXLP/graph.json","events_json":"https://pith.science/api/pith-number/2QZJSD2ADHEKYZHNXGWBUQJXLP/events.json","paper":"https://pith.science/paper/2QZJSD2A"},"agent_actions":{"view_html":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP","download_json":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP.json","view_paper":"https://pith.science/paper/2QZJSD2A","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.07938&json=true","fetch_graph":"https://pith.science/api/pith-number/2QZJSD2ADHEKYZHNXGWBUQJXLP/graph.json","fetch_events":"https://pith.science/api/pith-number/2QZJSD2ADHEKYZHNXGWBUQJXLP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP/action/storage_attestation","attest_author":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP/action/author_attestation","sign_citation":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP/action/citation_signature","submit_replication":"https://pith.science/pith/2QZJSD2ADHEKYZHNXGWBUQJXLP/action/replication_record"}},"created_at":"2026-08-11T01:19:03.576891+00:00","updated_at":"2026-08-11T01:19:03.576891+00:00"}