{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:SXNPMLY7QFWPMQ22GZ72AGY5CW","short_pith_number":"pith:SXNPMLY7","schema_version":"1.0","canonical_sha256":"95daf62f1f816cf6435a367fa01b1d15a56611a0f2db021c378bb60fe484f169","source":{"kind":"arxiv","id":"2606.10936","version":1},"attestation_state":"computed","paper":{"title":"Genuine Multipartite Nonlocality for Arbitrary Input: Maximal Randomness Generation and Robust Self-Testing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alok Kumar Pan, Rajdeep Paul, Ranendu Adhikary","submitted_at":"2026-06-09T14:45:31Z","abstract_excerpt":"Bell nonlocality provides the foundation for device-independent (DI) certification of quantum devices. We introduce a Bell inequality capable of identifying genuine multipartite nonlocality (GMNL) in an arbitrary m-partite scenario with an arbitrary odd number of measurements per party. Since the multi-setting nature of this inequality precludes the use of Jordan's Lemma, we construct an analytical sum-of-squares (SOS) decomposition to obtain the optimal quantum violation without assuming any bound on the Hilbert space dimension. This, in turn, enables self-testing of the shared entangled stat"},"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":"2606.10936","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-06-09T14:45:31Z","cross_cats_sorted":[],"title_canon_sha256":"333facff2ae68d3938672ae8489b9de1f19421a51cadfbbcb7f2a02ad41e4e67","abstract_canon_sha256":"9904c5f539a51a171d2cbad45dc58e31feced8dd0c72dcb85523d9acee88f876"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:10:48.883968Z","signature_b64":"QBjfhxlqCM1U6SnPemV8GTCi4ocqr5nOHFMiB46OHJ/0Yz4satFORZYwvyy5ygm7wNBsUtX2nLhuBkl/7h4TDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95daf62f1f816cf6435a367fa01b1d15a56611a0f2db021c378bb60fe484f169","last_reissued_at":"2026-06-10T01:10:48.883096Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:10:48.883096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Genuine Multipartite Nonlocality for Arbitrary Input: Maximal Randomness Generation and Robust Self-Testing","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alok Kumar Pan, Rajdeep Paul, Ranendu Adhikary","submitted_at":"2026-06-09T14:45:31Z","abstract_excerpt":"Bell nonlocality provides the foundation for device-independent (DI) certification of quantum devices. We introduce a Bell inequality capable of identifying genuine multipartite nonlocality (GMNL) in an arbitrary m-partite scenario with an arbitrary odd number of measurements per party. Since the multi-setting nature of this inequality precludes the use of Jordan's Lemma, we construct an analytical sum-of-squares (SOS) decomposition to obtain the optimal quantum violation without assuming any bound on the Hilbert space dimension. This, in turn, enables self-testing of the shared entangled stat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.10936","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/2606.10936/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":"2606.10936","created_at":"2026-06-10T01:10:48.883240+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.10936v1","created_at":"2026-06-10T01:10:48.883240+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.10936","created_at":"2026-06-10T01:10:48.883240+00:00"},{"alias_kind":"pith_short_12","alias_value":"SXNPMLY7QFWP","created_at":"2026-06-10T01:10:48.883240+00:00"},{"alias_kind":"pith_short_16","alias_value":"SXNPMLY7QFWPMQ22","created_at":"2026-06-10T01:10:48.883240+00:00"},{"alias_kind":"pith_short_8","alias_value":"SXNPMLY7","created_at":"2026-06-10T01:10:48.883240+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/SXNPMLY7QFWPMQ22GZ72AGY5CW","json":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW.json","graph_json":"https://pith.science/api/pith-number/SXNPMLY7QFWPMQ22GZ72AGY5CW/graph.json","events_json":"https://pith.science/api/pith-number/SXNPMLY7QFWPMQ22GZ72AGY5CW/events.json","paper":"https://pith.science/paper/SXNPMLY7"},"agent_actions":{"view_html":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW","download_json":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW.json","view_paper":"https://pith.science/paper/SXNPMLY7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.10936&json=true","fetch_graph":"https://pith.science/api/pith-number/SXNPMLY7QFWPMQ22GZ72AGY5CW/graph.json","fetch_events":"https://pith.science/api/pith-number/SXNPMLY7QFWPMQ22GZ72AGY5CW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW/action/storage_attestation","attest_author":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW/action/author_attestation","sign_citation":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW/action/citation_signature","submit_replication":"https://pith.science/pith/SXNPMLY7QFWPMQ22GZ72AGY5CW/action/replication_record"}},"created_at":"2026-06-10T01:10:48.883240+00:00","updated_at":"2026-06-10T01:10:48.883240+00:00"}