{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:HL257YARLCGFEWVRNZAMSTMGEY","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":"f415c366bc25925ec6014cdbc69fb7dff285743c5ec3af15c93145833bfd2ae5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-12T14:41:50Z","title_canon_sha256":"84fcbd823db1db97c2ef6a83ee4e5999d58b174118b357f79d07320867273ea8"},"schema_version":"1.0","source":{"id":"0903.2179","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2179","created_at":"2026-05-18T04:15:50Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2179v2","created_at":"2026-05-18T04:15:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2179","created_at":"2026-05-18T04:15:50Z"},{"alias_kind":"pith_short_12","alias_value":"HL257YARLCGF","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"HL257YARLCGFEWVR","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"HL257YAR","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:f084c4de18f8375c428da1894c3132f6b1ab6471d97ac2bdfaa710e61156a29d","target":"graph","created_at":"2026-05-18T04:15:50Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distributed and the parity of a+b equals xy. Such boxes have been central to the study of quantum or generalized non-locality as well as the simulation of non-signaling distributions. In this paper, we start by studying how many non-local boxes Alice and Bob need in order to compute a Boolean function f. We provide tight upper and lower bounds in terms of the communication complexity of the function both in the deterministic and rando","authors_text":"Iordanis Kerenidis, J\\'er\\'emie Roland, Marc Kaplan, Sophie Laplante","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-12T14:41:50Z","title":"Non-Local Box Complexity and Secure Function Evaluation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2179","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7d7373ed044b82a7fda6d7b8da40b109d5924082cfd1c8e59b20c780eaf63123","target":"record","created_at":"2026-05-18T04:15:50Z","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":"f415c366bc25925ec6014cdbc69fb7dff285743c5ec3af15c93145833bfd2ae5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-12T14:41:50Z","title_canon_sha256":"84fcbd823db1db97c2ef6a83ee4e5999d58b174118b357f79d07320867273ea8"},"schema_version":"1.0","source":{"id":"0903.2179","kind":"arxiv","version":2}},"canonical_sha256":"3af5dfe011588c525ab16e40c94d86262735a93818c0a6526396ef6daeecdc45","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3af5dfe011588c525ab16e40c94d86262735a93818c0a6526396ef6daeecdc45","first_computed_at":"2026-05-18T04:15:50.591845Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:15:50.591845Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UQuM0tu8/onNXJA3VeellSmfy5hfZiobUm0el6PceL5SUTpD/RTCetQzmEyST/kbQfN4pV8dJ3eGKdBZX5GzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:15:50.592354Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2179","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d7373ed044b82a7fda6d7b8da40b109d5924082cfd1c8e59b20c780eaf63123","sha256:f084c4de18f8375c428da1894c3132f6b1ab6471d97ac2bdfaa710e61156a29d"],"state_sha256":"2f139141cfd76a66cab6038086f0d3a74d8adf33dab3f0e2646b9c6e46b43e14"}