{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZM25MLRU7MMPLM3XLDMCWRUO3N","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":"a9a09ecfe290adabe36cc2f873f69c99545113d679bd2b12ba8f408daa88d60d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-26T12:40:57Z","title_canon_sha256":"d85185e3ea8f126cec28af30c98d5459d50fa8b7840fabf9dde2cf6737aa4402"},"schema_version":"1.0","source":{"id":"2505.19917","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.19917","created_at":"2026-05-28T01:05:10Z"},{"alias_kind":"arxiv_version","alias_value":"2505.19917v2","created_at":"2026-05-28T01:05:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.19917","created_at":"2026-05-28T01:05:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZM25MLRU7MMP","created_at":"2026-05-28T01:05:10Z"},{"alias_kind":"pith_short_16","alias_value":"ZM25MLRU7MMPLM3X","created_at":"2026-05-28T01:05:10Z"},{"alias_kind":"pith_short_8","alias_value":"ZM25MLRU","created_at":"2026-05-28T01:05:10Z"}],"graph_snapshots":[{"event_id":"sha256:fb663b73c2617f20d1304c6b9addad1d9ff71de94d3b96e802d366b345940372","target":"graph","created_at":"2026-05-28T01:05:10Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We demonstrate the DI self-testing based on the arbitrary-input chained Bell inequality. We devise a systematic and elegant sum-of-squares (SOS) technique enabling dimension-independent optimization of the quantum violation. Our approach enables the derivation of the state along with the relationship between the local observables directly from the optimization condition."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The assumption that the sum-of-squares relaxation exactly captures the optimal quantum violation of the chained Bell inequality for arbitrary input numbers and that the resulting algebraic relations directly yield the physical state and observables without additional dimension-dependent constraints."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Derives robust device-independent self-testing and two-bit certified randomness from the optimal quantum violation of the arbitrary-input chained Bell inequality via a dimension-independent sum-of-squares technique."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Violations of the chained Bell inequality enable device-independent self-testing of quantum states and measurements even with noise."}],"snapshot_sha256":"73bb50a12559531ef0c9829a46bc102770fea98b97ccef4ea333272903f75444"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"ca648ccca26e8aa3128723756047263e00011e3cf4324325c0a69bcad08be137"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.19917/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Self-testing is the strongest certification procedure that uniquely characterizes the physical system based on the observed statistics, without any knowledge of the inner workings of the devices. The optimal quantum violation of a Bell inequality enables such a device-independent (DI) self-testing of the source and the measurement devices. In this work, we demonstrate the DI self-testing based on the arbitrary-input chained Bell inequality. We devise a systematic and elegant sum-of-squares (SOS) technique enabling dimension-independent optimization of the quantum violation. Our approach enable","authors_text":"Alok Kumar Pan, Rajdeep Paul, Sneha Munshi","cross_cats":[],"headline":"Violations of the chained Bell inequality enable device-independent self-testing of quantum states and measurements even with noise.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-26T12:40:57Z","title":"Robust self-testing and certified randomness based on chained Bell inequality"},"references":{"count":87,"internal_anchors":0,"resolved_work":87,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"11d +aA i 2 ⊗ 11d +bB j 2 ρAB # (47) wherea,b∈ ±1. We know, for a maximally entangled state, ⟨Ai⟩ρAB =0,⟨B j⟩ρAB =0,∀i,j∈[n]. Hence, we get P a,b|A i,B j = 1 4","work_id":"d30070e8-adbd-45c5-a639-1707d1b70540","year":2021},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"(1) of the main text, we get the chained Bell inequality C3 =(A 1 +A 2)B1 +(A 2 +A 3)B2 +(A 3 −A 1)B3 ≤4 (B1) Following the SOS approach as outlined in Sec","work_id":"74a8061a-dc05-45dc-8239-6db24301704b","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"This, in turn, provides (C3)opt Q =3 √ 3=6 cos π 3 (B6) Clearly, Alice’s observables follow the relation ⟨{Ai,A i+x}⟩=2 cos πx 3 ,∀i∈[2],x∈[3−i] (B7) Following Eq. (18) (more details are given in Appe","work_id":"fd5ba93b-f75d-410e-9885-c9d952239daa","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Detailed derivation forn=5 Substitutingn=5 in Eq. (1) of the main text, we get the chained Bell inequality C5 =(A 1 +A 2)B1 +(A 2 +A 3)B2 +(A 3 +A 4)B3 +(A 4 +A 5)B4 +(A 5 −A 1)B5 ≤8 (B12) Following t","work_id":"73a80abe-67e4-4ec9-9987-135fda2330d0","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"(1) of the main text forn=7, we get C7 = 7X i=1 (Ai +A i+1)Bi ≤12 (B27) whereA 8 =−A 1","work_id":"7e75e2f2-7df4-42ea-88f5-9a442d40a682","year":null}],"snapshot_sha256":"51e62d1a9561d818793e6d72ea7207db0df469c04eed09bde2d474ac0d8b577a"},"source":{"id":"2505.19917","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-19T13:25:42.212882Z","id":"c4e04372-6f0c-4ea5-a0eb-0d68b2175abd","model_set":{"reader":"grok-4.3"},"one_line_summary":"Derives robust device-independent self-testing and two-bit certified randomness from the optimal quantum violation of the arbitrary-input chained Bell inequality via a dimension-independent sum-of-squares technique.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Violations of the chained Bell inequality enable device-independent self-testing of quantum states and measurements even with noise.","strongest_claim":"We demonstrate the DI self-testing based on the arbitrary-input chained Bell inequality. We devise a systematic and elegant sum-of-squares (SOS) technique enabling dimension-independent optimization of the quantum violation. Our approach enables the derivation of the state along with the relationship between the local observables directly from the optimization condition.","weakest_assumption":"The assumption that the sum-of-squares relaxation exactly captures the optimal quantum violation of the chained Bell inequality for arbitrary input numbers and that the resulting algebraic relations directly yield the physical state and observables without additional dimension-dependent constraints."}},"verdict_id":"c4e04372-6f0c-4ea5-a0eb-0d68b2175abd"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:810f3a5b707b0bfdd5688736eb7500edd495ef59cab845a719e16f45485a6bb7","target":"record","created_at":"2026-05-28T01:05:10Z","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":"a9a09ecfe290adabe36cc2f873f69c99545113d679bd2b12ba8f408daa88d60d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-05-26T12:40:57Z","title_canon_sha256":"d85185e3ea8f126cec28af30c98d5459d50fa8b7840fabf9dde2cf6737aa4402"},"schema_version":"1.0","source":{"id":"2505.19917","kind":"arxiv","version":2}},"canonical_sha256":"cb35d62e34fb18f5b37758d82b468edb422a47b11d276b2f121e2c0393136d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cb35d62e34fb18f5b37758d82b468edb422a47b11d276b2f121e2c0393136d23","first_computed_at":"2026-05-28T01:05:10.516560Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-28T01:05:10.516560Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C6wZdJA5c9DS+Qs15n1xoIszWUGT+vRE+mWDRkZSwOjpjFbqBI+xSEXoD++w+IXszWb5pMiKszau9Kr/Vd0/AQ==","signature_status":"signed_v1","signed_at":"2026-05-28T01:05:10.517005Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.19917","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:810f3a5b707b0bfdd5688736eb7500edd495ef59cab845a719e16f45485a6bb7","sha256:fb663b73c2617f20d1304c6b9addad1d9ff71de94d3b96e802d366b345940372"],"state_sha256":"49b2fdba47bcabdb72f528270155fc1bee8fab02b8a49847965a40008add7d43"}