{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:AMKZY7G252Y2C2CNXADYBBKGED","short_pith_number":"pith:AMKZY7G2","canonical_record":{"source":{"id":"0905.2915","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-05-18T19:21:12Z","cross_cats_sorted":[],"title_canon_sha256":"a10ffc3e41530421dfbd49d99efcade71a33e7b1c795bb7d0521e3f9e2b44889","abstract_canon_sha256":"6cd6d14eb3a5e6ad1223f2b0e1da34c1f05fc6d78501abca38958444c28b4c61"},"schema_version":"1.0"},"canonical_sha256":"03159c7cdaeeb1a1684db80780854620e40771f414712f2d43e36cf280a51f5f","source":{"kind":"arxiv","id":"0905.2915","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2915","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2915v1","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2915","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"AMKZY7G252Y2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AMKZY7G252Y2C2CN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AMKZY7G2","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:AMKZY7G252Y2C2CNXADYBBKGED","target":"record","payload":{"canonical_record":{"source":{"id":"0905.2915","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-05-18T19:21:12Z","cross_cats_sorted":[],"title_canon_sha256":"a10ffc3e41530421dfbd49d99efcade71a33e7b1c795bb7d0521e3f9e2b44889","abstract_canon_sha256":"6cd6d14eb3a5e6ad1223f2b0e1da34c1f05fc6d78501abca38958444c28b4c61"},"schema_version":"1.0"},"canonical_sha256":"03159c7cdaeeb1a1684db80780854620e40771f414712f2d43e36cf280a51f5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:38.847110Z","signature_b64":"dzKX/w74nPKWlxJgwCW2JitCdXgitpzftw66ajNPbcGXpOef3QlsTdbJ9kn1KFS1zwGejqMjKH9bKy7M3MoQDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03159c7cdaeeb1a1684db80780854620e40771f414712f2d43e36cf280a51f5f","last_reissued_at":"2026-05-18T02:13:38.846584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:38.846584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.2915","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Y2p8zZt+ss4mTHGdN5pSqE9TGDi7QRGX2f0y+TAK39risochyXiMsLaO52uV3MF3CUAWnFBPAsPNb5POyEfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T11:40:54.233492Z"},"content_sha256":"330a389db610982d8defaab1ca3cb1f42fb550b4e8ed95b4fd4b78ae5b1ff917","schema_version":"1.0","event_id":"sha256:330a389db610982d8defaab1ca3cb1f42fb550b4e8ed95b4fd4b78ae5b1ff917"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:AMKZY7G252Y2C2CNXADYBBKGED","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Concavity of the quantum body for any given dimension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"K.F. P\\'al, T. V\\'ertesi","submitted_at":"2009-05-18T19:21:12Z","abstract_excerpt":"Let us consider the set of all joint probabilities generated by local binary measurements on two separated quantum systems of a given local dimension d. We address the question of whether the shape of this quantum body is convex or not. We construct a point in the space of joint probabilities, which is on the convex hull of the local polytope, but still cannot be attained by measuring d-dimensional quantum systems, if the number of measurement settings is large enough. From this it follows that this body is not convex. We also show that for finite d the quantum body with POVM allowed may conta"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2915","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:13:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AsHpp9g58Lws/5Ht5jhLswcSOG4HPwUFuUlaLcw0j1+6W/sBi/Yv0PIE9P+dfNEEDkL8lLaHAmY/iGPsRiqEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T11:40:54.234181Z"},"content_sha256":"7d7aa443bdcaad29dd93a6502e99e143d4b2042db96d425aea733723184fc106","schema_version":"1.0","event_id":"sha256:7d7aa443bdcaad29dd93a6502e99e143d4b2042db96d425aea733723184fc106"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AMKZY7G252Y2C2CNXADYBBKGED/bundle.json","state_url":"https://pith.science/pith/AMKZY7G252Y2C2CNXADYBBKGED/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AMKZY7G252Y2C2CNXADYBBKGED/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T11:40:54Z","links":{"resolver":"https://pith.science/pith/AMKZY7G252Y2C2CNXADYBBKGED","bundle":"https://pith.science/pith/AMKZY7G252Y2C2CNXADYBBKGED/bundle.json","state":"https://pith.science/pith/AMKZY7G252Y2C2CNXADYBBKGED/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AMKZY7G252Y2C2CNXADYBBKGED/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AMKZY7G252Y2C2CNXADYBBKGED","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":"6cd6d14eb3a5e6ad1223f2b0e1da34c1f05fc6d78501abca38958444c28b4c61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-05-18T19:21:12Z","title_canon_sha256":"a10ffc3e41530421dfbd49d99efcade71a33e7b1c795bb7d0521e3f9e2b44889"},"schema_version":"1.0","source":{"id":"0905.2915","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.2915","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"arxiv_version","alias_value":"0905.2915v1","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.2915","created_at":"2026-05-18T02:13:38Z"},{"alias_kind":"pith_short_12","alias_value":"AMKZY7G252Y2","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AMKZY7G252Y2C2CN","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AMKZY7G2","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:7d7aa443bdcaad29dd93a6502e99e143d4b2042db96d425aea733723184fc106","target":"graph","created_at":"2026-05-18T02:13:38Z","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":"Let us consider the set of all joint probabilities generated by local binary measurements on two separated quantum systems of a given local dimension d. We address the question of whether the shape of this quantum body is convex or not. We construct a point in the space of joint probabilities, which is on the convex hull of the local polytope, but still cannot be attained by measuring d-dimensional quantum systems, if the number of measurement settings is large enough. From this it follows that this body is not convex. We also show that for finite d the quantum body with POVM allowed may conta","authors_text":"K.F. P\\'al, T. V\\'ertesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-05-18T19:21:12Z","title":"Concavity of the quantum body for any given dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.2915","kind":"arxiv","version":1},"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":"sha256:330a389db610982d8defaab1ca3cb1f42fb550b4e8ed95b4fd4b78ae5b1ff917","target":"record","created_at":"2026-05-18T02:13:38Z","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":"6cd6d14eb3a5e6ad1223f2b0e1da34c1f05fc6d78501abca38958444c28b4c61","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-05-18T19:21:12Z","title_canon_sha256":"a10ffc3e41530421dfbd49d99efcade71a33e7b1c795bb7d0521e3f9e2b44889"},"schema_version":"1.0","source":{"id":"0905.2915","kind":"arxiv","version":1}},"canonical_sha256":"03159c7cdaeeb1a1684db80780854620e40771f414712f2d43e36cf280a51f5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03159c7cdaeeb1a1684db80780854620e40771f414712f2d43e36cf280a51f5f","first_computed_at":"2026-05-18T02:13:38.846584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:38.846584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dzKX/w74nPKWlxJgwCW2JitCdXgitpzftw66ajNPbcGXpOef3QlsTdbJ9kn1KFS1zwGejqMjKH9bKy7M3MoQDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:38.847110Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.2915","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:330a389db610982d8defaab1ca3cb1f42fb550b4e8ed95b4fd4b78ae5b1ff917","sha256:7d7aa443bdcaad29dd93a6502e99e143d4b2042db96d425aea733723184fc106"],"state_sha256":"a91831f70ea783d66dfa7df95821745bbaa2c89594ea31b4d71e2453fbad480c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6zLymd4EwgFmQVgbC4it75exxMIyxliSi6n+fPU+br6v2a14VmIV1THlchCepkBBga/0onc6hJGrflUO3/3+Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T11:40:54.238809Z","bundle_sha256":"383381469fbb446867c58ea8e01c7b0dbf2c5fd4d468b4c99c80fc7b6a7820fb"}}