{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VPZCCB3MKNCAENPGIO5EPYTTP7","short_pith_number":"pith:VPZCCB3M","canonical_record":{"source":{"id":"1803.09385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-26T01:54:41Z","cross_cats_sorted":[],"title_canon_sha256":"829a3ebd8abc7ffa387f8c42c5b1a57badedbcd6574a241e7cc736532bfcff8e","abstract_canon_sha256":"e74f6aa5a97e61ff7bf05c3b81711c00d674ce7533d44e72a8ac9d0dda342b86"},"schema_version":"1.0"},"canonical_sha256":"abf221076c53440235e643ba47e2737fc806c0549400d46dbdace4881b6b13a3","source":{"kind":"arxiv","id":"1803.09385","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.09385","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1803.09385v1","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09385","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"VPZCCB3MKNCA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VPZCCB3MKNCAENPG","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VPZCCB3M","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VPZCCB3MKNCAENPGIO5EPYTTP7","target":"record","payload":{"canonical_record":{"source":{"id":"1803.09385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-26T01:54:41Z","cross_cats_sorted":[],"title_canon_sha256":"829a3ebd8abc7ffa387f8c42c5b1a57badedbcd6574a241e7cc736532bfcff8e","abstract_canon_sha256":"e74f6aa5a97e61ff7bf05c3b81711c00d674ce7533d44e72a8ac9d0dda342b86"},"schema_version":"1.0"},"canonical_sha256":"abf221076c53440235e643ba47e2737fc806c0549400d46dbdace4881b6b13a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:11.772989Z","signature_b64":"A61HMMVVWtadJGYH6M2JCT3aRvzuAWvSZNsg7QokUqpIeLx+9eDP6LB2FAt8k7asldZhv/1fCx8pB3Bj8CuKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abf221076c53440235e643ba47e2737fc806c0549400d46dbdace4881b6b13a3","last_reissued_at":"2026-05-18T00:20:11.772360Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:11.772360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.09385","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":"2026-05-18T00:20:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqTAekrt98IpxRRvPxHTAgmMoUfUYbq3X/U7BGYQKRgq9ybXtPHjeT/ors6ccw3NZSyDTS1hI9QsJ8AKkNt7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:07:49.376856Z"},"content_sha256":"1ffd05b04c7ed47c791e69cdcc65be16b3116474bd2749424191fdf69b29d02a","schema_version":"1.0","event_id":"sha256:1ffd05b04c7ed47c791e69cdcc65be16b3116474bd2749424191fdf69b29d02a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VPZCCB3MKNCAENPGIO5EPYTTP7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifying the quantumness of ensembles via unitary similarity invariant norms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fengli Yan, Ting Gao, Xianfei Qi","submitted_at":"2018-03-26T01:54:41Z","abstract_excerpt":"The quantification of the quantumness of a quantum ensemble has theoretical and practical significance in quantum information theory. We propose herein a class of measures of the quantumness of quantum ensembles using the unitary similarity invariant norms of the commutators of the constituent density operators of an ensemble. Rigorous proof shows that they share desirable properties for a measure of quantumness, such as positivity, unitary invariance, concavity under probabilistic union, convexity under state decomposition, decreasing under coarse graining, and increasing under fine graining."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09385","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":"2026-05-18T00:20:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"20MkhtE4UI1QJP+Z8zLTOTFmfCiShAh3dra8OhW0hRKGH/F6kH5XCqCWr2cBjSwRGRvXWN54gbU1eKWFiec/Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:07:49.377213Z"},"content_sha256":"e77134203a056f3c72c04b4d881779ffe47fade3ea5e53fc3a0f3c9d0f44cf53","schema_version":"1.0","event_id":"sha256:e77134203a056f3c72c04b4d881779ffe47fade3ea5e53fc3a0f3c9d0f44cf53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VPZCCB3MKNCAENPGIO5EPYTTP7/bundle.json","state_url":"https://pith.science/pith/VPZCCB3MKNCAENPGIO5EPYTTP7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VPZCCB3MKNCAENPGIO5EPYTTP7/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":"2026-05-31T21:07:49Z","links":{"resolver":"https://pith.science/pith/VPZCCB3MKNCAENPGIO5EPYTTP7","bundle":"https://pith.science/pith/VPZCCB3MKNCAENPGIO5EPYTTP7/bundle.json","state":"https://pith.science/pith/VPZCCB3MKNCAENPGIO5EPYTTP7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VPZCCB3MKNCAENPGIO5EPYTTP7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VPZCCB3MKNCAENPGIO5EPYTTP7","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":"e74f6aa5a97e61ff7bf05c3b81711c00d674ce7533d44e72a8ac9d0dda342b86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-26T01:54:41Z","title_canon_sha256":"829a3ebd8abc7ffa387f8c42c5b1a57badedbcd6574a241e7cc736532bfcff8e"},"schema_version":"1.0","source":{"id":"1803.09385","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.09385","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"arxiv_version","alias_value":"1803.09385v1","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.09385","created_at":"2026-05-18T00:20:11Z"},{"alias_kind":"pith_short_12","alias_value":"VPZCCB3MKNCA","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VPZCCB3MKNCAENPG","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VPZCCB3M","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:e77134203a056f3c72c04b4d881779ffe47fade3ea5e53fc3a0f3c9d0f44cf53","target":"graph","created_at":"2026-05-18T00:20:11Z","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":"The quantification of the quantumness of a quantum ensemble has theoretical and practical significance in quantum information theory. We propose herein a class of measures of the quantumness of quantum ensembles using the unitary similarity invariant norms of the commutators of the constituent density operators of an ensemble. Rigorous proof shows that they share desirable properties for a measure of quantumness, such as positivity, unitary invariance, concavity under probabilistic union, convexity under state decomposition, decreasing under coarse graining, and increasing under fine graining.","authors_text":"Fengli Yan, Ting Gao, Xianfei Qi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-26T01:54:41Z","title":"Quantifying the quantumness of ensembles via unitary similarity invariant norms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.09385","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":"sha256:1ffd05b04c7ed47c791e69cdcc65be16b3116474bd2749424191fdf69b29d02a","target":"record","created_at":"2026-05-18T00:20:11Z","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":"e74f6aa5a97e61ff7bf05c3b81711c00d674ce7533d44e72a8ac9d0dda342b86","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-03-26T01:54:41Z","title_canon_sha256":"829a3ebd8abc7ffa387f8c42c5b1a57badedbcd6574a241e7cc736532bfcff8e"},"schema_version":"1.0","source":{"id":"1803.09385","kind":"arxiv","version":1}},"canonical_sha256":"abf221076c53440235e643ba47e2737fc806c0549400d46dbdace4881b6b13a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"abf221076c53440235e643ba47e2737fc806c0549400d46dbdace4881b6b13a3","first_computed_at":"2026-05-18T00:20:11.772360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:11.772360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A61HMMVVWtadJGYH6M2JCT3aRvzuAWvSZNsg7QokUqpIeLx+9eDP6LB2FAt8k7asldZhv/1fCx8pB3Bj8CuKCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:11.772989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.09385","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ffd05b04c7ed47c791e69cdcc65be16b3116474bd2749424191fdf69b29d02a","sha256:e77134203a056f3c72c04b4d881779ffe47fade3ea5e53fc3a0f3c9d0f44cf53"],"state_sha256":"066f44aa25cd80fda9fdb2a4d87aa57e481244a06dd6ba64cd6d88f76157f696"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JfVYw4ncWps1XxwvDYOglhaCudiS2Eg8fuMR3g4NIBaYwQ7X9xpf+Y+yU3fgqVDFDHWg2o+nUDloNkXPVJYgAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:07:49.380309Z","bundle_sha256":"1584b3b32c69bc79f47235190b1243929ce48ddd591840ae7c878d13760391aa"}}