{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WW5TLPBBTRAI6ZZTLMAXP2TFKZ","short_pith_number":"pith:WW5TLPBB","canonical_record":{"source":{"id":"1501.06667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-27T06:57:14Z","cross_cats_sorted":[],"title_canon_sha256":"81004a6f8e1ba4c13edd1ee920c59a14e5e3b94c3784bb4059c91e44466d9f32","abstract_canon_sha256":"840dc2e2bf37a5000f178e1cf0059e12b6168cf723f3ca622e9109aded9d73e2"},"schema_version":"1.0"},"canonical_sha256":"b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e","source":{"kind":"arxiv","id":"1501.06667","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06667","created_at":"2026-05-18T01:26:58Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06667v2","created_at":"2026-05-18T01:26:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06667","created_at":"2026-05-18T01:26:58Z"},{"alias_kind":"pith_short_12","alias_value":"WW5TLPBBTRAI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WW5TLPBBTRAI6ZZT","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WW5TLPBB","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WW5TLPBBTRAI6ZZTLMAXP2TFKZ","target":"record","payload":{"canonical_record":{"source":{"id":"1501.06667","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-27T06:57:14Z","cross_cats_sorted":[],"title_canon_sha256":"81004a6f8e1ba4c13edd1ee920c59a14e5e3b94c3784bb4059c91e44466d9f32","abstract_canon_sha256":"840dc2e2bf37a5000f178e1cf0059e12b6168cf723f3ca622e9109aded9d73e2"},"schema_version":"1.0"},"canonical_sha256":"b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:58.045778Z","signature_b64":"wjIM64UggZ8XzesuZLQiGhUDwKsTyzb8x37JXVjd3fJrfWhrdoQyC8lZeVf1jNJCHtclxdfePtdvLcE4ri9jAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e","last_reissued_at":"2026-05-18T01:26:58.045162Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:58.045162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.06667","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ro3hmXrFdxCgu8Ce6a7ALH8YP+l+Uys5ZE1VXWxodJjsnRWMBT2Jf5S+ksM+w4DvGuGb6pLePne76xmXB4e4Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:12:25.512412Z"},"content_sha256":"8250438f42f51beb0a8c9b50fe04a64c76f67ad0f4be1d642312bfe0e35d943e","schema_version":"1.0","event_id":"sha256:8250438f42f51beb0a8c9b50fe04a64c76f67ad0f4be1d642312bfe0e35d943e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WW5TLPBBTRAI6ZZTLMAXP2TFKZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic measures of joint uncertainty: effects of lack of majorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alfredo Luis, Gustavo Mart\\'in Bosyk, Mariela Portesi","submitted_at":"2015-01-27T06:57:14Z","abstract_excerpt":"We compute R\\'enyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard duality relation. We show that these behaviors are consistent with the lack of majorization relation between the corresponding statistics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06667","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:26:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hdMD2tJSHFGkOmQz9+idqwF9T9CwlrNMwx9+T7yixrDk592uU18jtT42C3m3TbY/n60VkpY8OKMGwaTZuJKjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:12:25.512759Z"},"content_sha256":"46af013a7eaf10a367077901bb0b16010de2b02df5750e697a1dbbcb9e93e33e","schema_version":"1.0","event_id":"sha256:46af013a7eaf10a367077901bb0b16010de2b02df5750e697a1dbbcb9e93e33e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ/bundle.json","state_url":"https://pith.science/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ/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":"2026-06-23T02:12:25Z","links":{"resolver":"https://pith.science/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ","bundle":"https://pith.science/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ/bundle.json","state":"https://pith.science/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WW5TLPBBTRAI6ZZTLMAXP2TFKZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WW5TLPBBTRAI6ZZTLMAXP2TFKZ","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":"840dc2e2bf37a5000f178e1cf0059e12b6168cf723f3ca622e9109aded9d73e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-27T06:57:14Z","title_canon_sha256":"81004a6f8e1ba4c13edd1ee920c59a14e5e3b94c3784bb4059c91e44466d9f32"},"schema_version":"1.0","source":{"id":"1501.06667","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06667","created_at":"2026-05-18T01:26:58Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06667v2","created_at":"2026-05-18T01:26:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06667","created_at":"2026-05-18T01:26:58Z"},{"alias_kind":"pith_short_12","alias_value":"WW5TLPBBTRAI","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WW5TLPBBTRAI6ZZT","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WW5TLPBB","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:46af013a7eaf10a367077901bb0b16010de2b02df5750e697a1dbbcb9e93e33e","target":"graph","created_at":"2026-05-18T01:26:58Z","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":"We compute R\\'enyi entropies for the statistics of a noisy simultaneous observation of two complementary observables in two-dimensional quantum systems. The relative amount of uncertainty between two states depends on the uncertainty measure used. These results are not reproduced by a more standard duality relation. We show that these behaviors are consistent with the lack of majorization relation between the corresponding statistics.","authors_text":"Alfredo Luis, Gustavo Mart\\'in Bosyk, Mariela Portesi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-27T06:57:14Z","title":"Entropic measures of joint uncertainty: effects of lack of majorization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06667","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":"sha256:8250438f42f51beb0a8c9b50fe04a64c76f67ad0f4be1d642312bfe0e35d943e","target":"record","created_at":"2026-05-18T01:26:58Z","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":"840dc2e2bf37a5000f178e1cf0059e12b6168cf723f3ca622e9109aded9d73e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-01-27T06:57:14Z","title_canon_sha256":"81004a6f8e1ba4c13edd1ee920c59a14e5e3b94c3784bb4059c91e44466d9f32"},"schema_version":"1.0","source":{"id":"1501.06667","kind":"arxiv","version":2}},"canonical_sha256":"b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5bb35bc219c408f67335b0177ea655654c6b4cf7d96c88844745fbafac09d9e","first_computed_at":"2026-05-18T01:26:58.045162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:58.045162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wjIM64UggZ8XzesuZLQiGhUDwKsTyzb8x37JXVjd3fJrfWhrdoQyC8lZeVf1jNJCHtclxdfePtdvLcE4ri9jAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:58.045778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06667","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8250438f42f51beb0a8c9b50fe04a64c76f67ad0f4be1d642312bfe0e35d943e","sha256:46af013a7eaf10a367077901bb0b16010de2b02df5750e697a1dbbcb9e93e33e"],"state_sha256":"6b7795f9a1dc0cecd24df64882170e8a877a5bf68a1eac78d2f374ec8c4ea994"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ix3V//RFQ2t2ClExiW0xqHIw83KHAvxlh6owkc3fww++n2CPKfuNPft+Ews7VyExNFz1VOEZCBlowjzi1QMRBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T02:12:25.514877Z","bundle_sha256":"cfc4fb34e80b683a91ac7f76802fadf66e33c8b45b13ef3ba7c0cb1e415ddbfc"}}