{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:MCZNTF63TFUU4RYJ4R2HTJTBPS","short_pith_number":"pith:MCZNTF63","schema_version":"1.0","canonical_sha256":"60b2d997db99694e4709e47479a6617c96dfaf2b245b263af146317c6fccdd4e","source":{"kind":"arxiv","id":"1605.01142","version":2},"attestation_state":"computed","paper":{"title":"Separations in communication complexity using cheat sheets and information complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Aleksandrs Belovs, Anurag Anshu, Mika G\\\"o\\\"os, Miklos Santha, Rahul Jain, Robin Kothari, Shalev Ben-David, Troy Lee","submitted_at":"2016-05-04T04:42:08Z","abstract_excerpt":"While exponential separations are known between quantum and randomized communication complexity for partial functions (Raz, STOC 1999), the best known separation between these measures for a total function is quadratic, witnessed by the disjointness function. We give the first super-quadratic separation between quantum and randomized communication complexity for a total function, giving an example exhibiting a power 2.5 gap. We further present a 1.5 power separation between exact quantum and randomized communication complexity, improving on the previous ~1.15 separation by Ambainis (STOC 2013)"},"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":"1605.01142","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-05-04T04:42:08Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"56de1e0c3ae36e68bc7f93512ea5e26753deb11c96fb20b0ea85af1d6c747d45","abstract_canon_sha256":"29ffc92d1a8b88b98f65595669754c98a3c2de7b127911b6c9362acc17f41dc7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:35.412171Z","signature_b64":"HCLAh5LcVNMsWIyp4xNSF9g1ziig4BEaJmd/gBqCmPODVc2BQj00K8ogYhQwGXHo1/8jl8kAF8t8UXVdwrAOAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60b2d997db99694e4709e47479a6617c96dfaf2b245b263af146317c6fccdd4e","last_reissued_at":"2026-05-18T00:34:35.411660Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:35.411660Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Separations in communication complexity using cheat sheets and information complexity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"quant-ph","authors_text":"Aleksandrs Belovs, Anurag Anshu, Mika G\\\"o\\\"os, Miklos Santha, Rahul Jain, Robin Kothari, Shalev Ben-David, Troy Lee","submitted_at":"2016-05-04T04:42:08Z","abstract_excerpt":"While exponential separations are known between quantum and randomized communication complexity for partial functions (Raz, STOC 1999), the best known separation between these measures for a total function is quadratic, witnessed by the disjointness function. We give the first super-quadratic separation between quantum and randomized communication complexity for a total function, giving an example exhibiting a power 2.5 gap. We further present a 1.5 power separation between exact quantum and randomized communication complexity, improving on the previous ~1.15 separation by Ambainis (STOC 2013)"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01142","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":"1605.01142","created_at":"2026-05-18T00:34:35.411744+00:00"},{"alias_kind":"arxiv_version","alias_value":"1605.01142v2","created_at":"2026-05-18T00:34:35.411744+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01142","created_at":"2026-05-18T00:34:35.411744+00:00"},{"alias_kind":"pith_short_12","alias_value":"MCZNTF63TFUU","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_16","alias_value":"MCZNTF63TFUU4RYJ","created_at":"2026-05-18T12:30:32.724797+00:00"},{"alias_kind":"pith_short_8","alias_value":"MCZNTF63","created_at":"2026-05-18T12:30:32.724797+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/MCZNTF63TFUU4RYJ4R2HTJTBPS","json":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS.json","graph_json":"https://pith.science/api/pith-number/MCZNTF63TFUU4RYJ4R2HTJTBPS/graph.json","events_json":"https://pith.science/api/pith-number/MCZNTF63TFUU4RYJ4R2HTJTBPS/events.json","paper":"https://pith.science/paper/MCZNTF63"},"agent_actions":{"view_html":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS","download_json":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS.json","view_paper":"https://pith.science/paper/MCZNTF63","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1605.01142&json=true","fetch_graph":"https://pith.science/api/pith-number/MCZNTF63TFUU4RYJ4R2HTJTBPS/graph.json","fetch_events":"https://pith.science/api/pith-number/MCZNTF63TFUU4RYJ4R2HTJTBPS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS/action/storage_attestation","attest_author":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS/action/author_attestation","sign_citation":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS/action/citation_signature","submit_replication":"https://pith.science/pith/MCZNTF63TFUU4RYJ4R2HTJTBPS/action/replication_record"}},"created_at":"2026-05-18T00:34:35.411744+00:00","updated_at":"2026-05-18T00:34:35.411744+00:00"}