{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:73PUEKKONM3DY7ZKETZO4Y24XJ","short_pith_number":"pith:73PUEKKO","canonical_record":{"source":{"id":"1604.02927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-11T13:01:04Z","cross_cats_sorted":[],"title_canon_sha256":"43761e7a859a0c31b36f0aab4e1bdac6c1be9f7d7ede73bc24f4e192202e5118","abstract_canon_sha256":"4d435ea5ce5c66c20943d19084280addf10dbc996b93dd32b10d1b62b5e49bff"},"schema_version":"1.0"},"canonical_sha256":"fedf42294e6b363c7f2a24f2ee635cba7cffd5658a8b259d41298a1ac5c8ec03","source":{"kind":"arxiv","id":"1604.02927","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02927","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02927v1","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02927","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"73PUEKKONM3D","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"73PUEKKONM3DY7ZK","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"73PUEKKO","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:73PUEKKONM3DY7ZKETZO4Y24XJ","target":"record","payload":{"canonical_record":{"source":{"id":"1604.02927","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-11T13:01:04Z","cross_cats_sorted":[],"title_canon_sha256":"43761e7a859a0c31b36f0aab4e1bdac6c1be9f7d7ede73bc24f4e192202e5118","abstract_canon_sha256":"4d435ea5ce5c66c20943d19084280addf10dbc996b93dd32b10d1b62b5e49bff"},"schema_version":"1.0"},"canonical_sha256":"fedf42294e6b363c7f2a24f2ee635cba7cffd5658a8b259d41298a1ac5c8ec03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:02.304737Z","signature_b64":"E+X2aNW6hLSb8f3vi36KoX13KaagUZau65OdsYkE3Nuq4cefzuZUXbUJUHab20LAYqYy7Ip3JfLQ1xLLhAAVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fedf42294e6b363c7f2a24f2ee635cba7cffd5658a8b259d41298a1ac5c8ec03","last_reissued_at":"2026-05-18T01:16:02.304004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:02.304004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.02927","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":"2026-05-18T01:16:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2085l/sbvWg5ZJ+eZiaHFxiMiHmqRbZJ/xnTGRK2iLgwgdW1VrTBLQ6qEsZqBM1kKvYiGf6Py5oM4+zblFhGDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:56:43.977743Z"},"content_sha256":"bd21b59169189a5b208311bf01a940ba4c28335deb24f682c87957a055e55f30","schema_version":"1.0","event_id":"sha256:bd21b59169189a5b208311bf01a940ba4c28335deb24f682c87957a055e55f30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:73PUEKKONM3DY7ZKETZO4Y24XJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Strong entropic uncertainty relations for multiple measurements","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Naihuan Jing, Shao-Ming Fei, Tao Li, Teng Ma, Xianqing Li-Jost, Yunlong Xiao, Zhi-Xi Wang","submitted_at":"2016-04-11T13:01:04Z","abstract_excerpt":"In this paper, we study entropic uncertainty relations on a finite-dimensional Hilbert space and provide several tighter bounds for multi-measurements, with some of them also valid for R\\'{e}nyi and Tsallis entropies besides the Shannon entropy. We employ majorization theory and actions of the symmetric group to obtain an {\\it admixture bound} for entropic uncertainty relations for multi-measurements. Comparisons among all bounds for multi-measurements are shown in figures in our favor."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02927","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":"2026-05-18T01:16:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zEmSVzt639eaIAs96l8a1r87IJtDu+OgYNMxHIE3+MvrQ/yA+lc6dAJBGFAKKZQLRhu3lWD1yMZy3XmFF5IiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T21:56:43.978093Z"},"content_sha256":"44029d5539ab565cea89e5784c7c55ddafc330e3c6713fbdc3a69d0680fb212d","schema_version":"1.0","event_id":"sha256:44029d5539ab565cea89e5784c7c55ddafc330e3c6713fbdc3a69d0680fb212d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/73PUEKKONM3DY7ZKETZO4Y24XJ/bundle.json","state_url":"https://pith.science/pith/73PUEKKONM3DY7ZKETZO4Y24XJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/73PUEKKONM3DY7ZKETZO4Y24XJ/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":"2026-06-10T21:56:43Z","links":{"resolver":"https://pith.science/pith/73PUEKKONM3DY7ZKETZO4Y24XJ","bundle":"https://pith.science/pith/73PUEKKONM3DY7ZKETZO4Y24XJ/bundle.json","state":"https://pith.science/pith/73PUEKKONM3DY7ZKETZO4Y24XJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/73PUEKKONM3DY7ZKETZO4Y24XJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:73PUEKKONM3DY7ZKETZO4Y24XJ","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":"4d435ea5ce5c66c20943d19084280addf10dbc996b93dd32b10d1b62b5e49bff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-11T13:01:04Z","title_canon_sha256":"43761e7a859a0c31b36f0aab4e1bdac6c1be9f7d7ede73bc24f4e192202e5118"},"schema_version":"1.0","source":{"id":"1604.02927","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02927","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02927v1","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02927","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"73PUEKKONM3D","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"73PUEKKONM3DY7ZK","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"73PUEKKO","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:44029d5539ab565cea89e5784c7c55ddafc330e3c6713fbdc3a69d0680fb212d","target":"graph","created_at":"2026-05-18T01:16:02Z","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":"In this paper, we study entropic uncertainty relations on a finite-dimensional Hilbert space and provide several tighter bounds for multi-measurements, with some of them also valid for R\\'{e}nyi and Tsallis entropies besides the Shannon entropy. We employ majorization theory and actions of the symmetric group to obtain an {\\it admixture bound} for entropic uncertainty relations for multi-measurements. Comparisons among all bounds for multi-measurements are shown in figures in our favor.","authors_text":"Naihuan Jing, Shao-Ming Fei, Tao Li, Teng Ma, Xianqing Li-Jost, Yunlong Xiao, Zhi-Xi Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-11T13:01:04Z","title":"Strong entropic uncertainty relations for multiple measurements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02927","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:bd21b59169189a5b208311bf01a940ba4c28335deb24f682c87957a055e55f30","target":"record","created_at":"2026-05-18T01:16:02Z","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":"4d435ea5ce5c66c20943d19084280addf10dbc996b93dd32b10d1b62b5e49bff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-11T13:01:04Z","title_canon_sha256":"43761e7a859a0c31b36f0aab4e1bdac6c1be9f7d7ede73bc24f4e192202e5118"},"schema_version":"1.0","source":{"id":"1604.02927","kind":"arxiv","version":1}},"canonical_sha256":"fedf42294e6b363c7f2a24f2ee635cba7cffd5658a8b259d41298a1ac5c8ec03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fedf42294e6b363c7f2a24f2ee635cba7cffd5658a8b259d41298a1ac5c8ec03","first_computed_at":"2026-05-18T01:16:02.304004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:02.304004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+X2aNW6hLSb8f3vi36KoX13KaagUZau65OdsYkE3Nuq4cefzuZUXbUJUHab20LAYqYy7Ip3JfLQ1xLLhAAVAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:02.304737Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02927","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd21b59169189a5b208311bf01a940ba4c28335deb24f682c87957a055e55f30","sha256:44029d5539ab565cea89e5784c7c55ddafc330e3c6713fbdc3a69d0680fb212d"],"state_sha256":"4ec04c8b2add3464f02c7d2a83613bed1ee612c27fa4950bc31ca2a3964b8ca5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFmW6QmhqTronf/HH3rfBF0VDqcNYOQ4uWXK5aHBFTHq0LQhBqYETMVa1/tsJyoCTZQPbt1oC6iprc2vejmaDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T21:56:43.980075Z","bundle_sha256":"cebb05ad46ddfc2aee7927fbd96f1f9ace9a354709cd382eb6993684f325d77a"}}