{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:YUVCC3ZRESIYWLWI5S2K3K663G","short_pith_number":"pith:YUVCC3ZR","canonical_record":{"source":{"id":"2101.07427","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-01-19T02:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"9c40f4d8d4a825e996c221d6de955199a7a059a87d598651576416459a8b26e3","abstract_canon_sha256":"0e28601ee1a00bc22d314e081de1f821c9786eb98af0ee51c6f0e0bf920354ab"},"schema_version":"1.0"},"canonical_sha256":"c52a216f3124918b2ec8ecb4adabded9a832a4da2a6a85673e6f624983b3a035","source":{"kind":"arxiv","id":"2101.07427","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.07427","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"2101.07427v1","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.07427","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"YUVCC3ZRESIY","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"pith_short_16","alias_value":"YUVCC3ZRESIYWLWI","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"pith_short_8","alias_value":"YUVCC3ZR","created_at":"2026-07-05T02:07:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:YUVCC3ZRESIYWLWI5S2K3K663G","target":"record","payload":{"canonical_record":{"source":{"id":"2101.07427","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-01-19T02:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"9c40f4d8d4a825e996c221d6de955199a7a059a87d598651576416459a8b26e3","abstract_canon_sha256":"0e28601ee1a00bc22d314e081de1f821c9786eb98af0ee51c6f0e0bf920354ab"},"schema_version":"1.0"},"canonical_sha256":"c52a216f3124918b2ec8ecb4adabded9a832a4da2a6a85673e6f624983b3a035","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:07:57.791279Z","signature_b64":"V4SXTB99q755wjz7facgazlWD5rkF9T1HiNlKAqlTtx4eaf6y+PobmBBeI47yxhsns7P2DNJCqn2NI2uDKj/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c52a216f3124918b2ec8ecb4adabded9a832a4da2a6a85673e6f624983b3a035","last_reissued_at":"2026-07-05T02:07:57.790863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:07:57.790863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.07427","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":"2026-07-05T02:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MpMDmsg4AlojzbuBP3OD/jgVE1MIp9uTu9ARo7Y9TnKnQMiev+RZSCM+LWYKsxn42kjWtf0rZb6ekB+gTBJvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:51:09.384406Z"},"content_sha256":"8e97ddf558b139c09552bfa013f13f9ba53c64dde89db6f4a6686f3bebbc81fc","schema_version":"1.0","event_id":"sha256:8e97ddf558b139c09552bfa013f13f9ba53c64dde89db6f4a6686f3bebbc81fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:YUVCC3ZRESIYWLWI5S2K3K663G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Average skew information-based coherence and its typicality for random quantum states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lin Zhang, Shao-Ming Fei, Xianqing Li-Jost, Zhaoqi Wu","submitted_at":"2021-01-19T02:51:48Z","abstract_excerpt":"We study the average skew information-based coherence for both random pure and mixed states. The explicit formulae of the average skew information-based coherence are derived and shown to be the functions of the dimension N of the state space. We demonstrate that as N approaches to infinity, the average coherence is 1 for random pure states, and a positive constant less than 1/2 for random mixed states. We also explore the typicality of average skew information-based coherence of random quantum states. Furthermore, we identify a coherent subspace such that the amount of the skew information-ba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.07427","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2101.07427/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:07:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5y0l26rt86zM/GfSuPY5CvAS3z/nmm0lrZzgiC7FCg4gO03q7FPHV3DvpcGKXR41IopL3pI9o1V36mJY2iRODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:51:09.384994Z"},"content_sha256":"23ede5a4bb0246c08db1964619a5908897ab07fa47f2184534a580d53c5f460e","schema_version":"1.0","event_id":"sha256:23ede5a4bb0246c08db1964619a5908897ab07fa47f2184534a580d53c5f460e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YUVCC3ZRESIYWLWI5S2K3K663G/bundle.json","state_url":"https://pith.science/pith/YUVCC3ZRESIYWLWI5S2K3K663G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YUVCC3ZRESIYWLWI5S2K3K663G/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":"2026-08-11T06:51:09Z","links":{"resolver":"https://pith.science/pith/YUVCC3ZRESIYWLWI5S2K3K663G","bundle":"https://pith.science/pith/YUVCC3ZRESIYWLWI5S2K3K663G/bundle.json","state":"https://pith.science/pith/YUVCC3ZRESIYWLWI5S2K3K663G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YUVCC3ZRESIYWLWI5S2K3K663G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:YUVCC3ZRESIYWLWI5S2K3K663G","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":"0e28601ee1a00bc22d314e081de1f821c9786eb98af0ee51c6f0e0bf920354ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-01-19T02:51:48Z","title_canon_sha256":"9c40f4d8d4a825e996c221d6de955199a7a059a87d598651576416459a8b26e3"},"schema_version":"1.0","source":{"id":"2101.07427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.07427","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"arxiv_version","alias_value":"2101.07427v1","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.07427","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"pith_short_12","alias_value":"YUVCC3ZRESIY","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"pith_short_16","alias_value":"YUVCC3ZRESIYWLWI","created_at":"2026-07-05T02:07:57Z"},{"alias_kind":"pith_short_8","alias_value":"YUVCC3ZR","created_at":"2026-07-05T02:07:57Z"}],"graph_snapshots":[{"event_id":"sha256:23ede5a4bb0246c08db1964619a5908897ab07fa47f2184534a580d53c5f460e","target":"graph","created_at":"2026-07-05T02:07:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.07427/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the average skew information-based coherence for both random pure and mixed states. The explicit formulae of the average skew information-based coherence are derived and shown to be the functions of the dimension N of the state space. We demonstrate that as N approaches to infinity, the average coherence is 1 for random pure states, and a positive constant less than 1/2 for random mixed states. We also explore the typicality of average skew information-based coherence of random quantum states. Furthermore, we identify a coherent subspace such that the amount of the skew information-ba","authors_text":"Lin Zhang, Shao-Ming Fei, Xianqing Li-Jost, Zhaoqi Wu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-01-19T02:51:48Z","title":"Average skew information-based coherence and its typicality for random quantum states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.07427","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":"sha256:8e97ddf558b139c09552bfa013f13f9ba53c64dde89db6f4a6686f3bebbc81fc","target":"record","created_at":"2026-07-05T02:07:57Z","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":"0e28601ee1a00bc22d314e081de1f821c9786eb98af0ee51c6f0e0bf920354ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2021-01-19T02:51:48Z","title_canon_sha256":"9c40f4d8d4a825e996c221d6de955199a7a059a87d598651576416459a8b26e3"},"schema_version":"1.0","source":{"id":"2101.07427","kind":"arxiv","version":1}},"canonical_sha256":"c52a216f3124918b2ec8ecb4adabded9a832a4da2a6a85673e6f624983b3a035","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c52a216f3124918b2ec8ecb4adabded9a832a4da2a6a85673e6f624983b3a035","first_computed_at":"2026-07-05T02:07:57.790863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:07:57.790863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V4SXTB99q755wjz7facgazlWD5rkF9T1HiNlKAqlTtx4eaf6y+PobmBBeI47yxhsns7P2DNJCqn2NI2uDKj/AA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:07:57.791279Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.07427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e97ddf558b139c09552bfa013f13f9ba53c64dde89db6f4a6686f3bebbc81fc","sha256:23ede5a4bb0246c08db1964619a5908897ab07fa47f2184534a580d53c5f460e"],"state_sha256":"6d46a603e024ea965ab6630832413fdb0d2cafd50bb77df1822f4a29bcd9540c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OobMw9QodWDQuQsqLlYGCzmDGmd4Ff9IPJyo4ntfmCN00eCKrdJV4JgtfUUbMXhlUM7t7iRXjg0qwFNjWdrNDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T06:51:09.389413Z","bundle_sha256":"cd1b841634b2bfd97a034af228e7f9ee3fce320fd8f6debce19412e06131ec0b"}}