{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:PSZLYOMP4I2244DHKGRGUTX6EB","short_pith_number":"pith:PSZLYOMP","canonical_record":{"source":{"id":"1710.10252","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-27T17:34:34Z","cross_cats_sorted":["cs.IT","hep-th","math-ph","math.IT","math.MP"],"title_canon_sha256":"fc960c4bc8b7a47326a0685e2f68b36974f9e2333fa01e84b418caaac340fd9e","abstract_canon_sha256":"989320d9e8739d8d567d8c76682d257fb1507f875e972ff49178494fb60ac82d"},"schema_version":"1.0"},"canonical_sha256":"7cb2bc398fe235ae706751a26a4efe207d700016528cfbff47dec47f1700e98e","source":{"kind":"arxiv","id":"1710.10252","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10252","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10252v2","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10252","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"PSZLYOMP4I22","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PSZLYOMP4I2244DH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PSZLYOMP","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:PSZLYOMP4I2244DHKGRGUTX6EB","target":"record","payload":{"canonical_record":{"source":{"id":"1710.10252","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-27T17:34:34Z","cross_cats_sorted":["cs.IT","hep-th","math-ph","math.IT","math.MP"],"title_canon_sha256":"fc960c4bc8b7a47326a0685e2f68b36974f9e2333fa01e84b418caaac340fd9e","abstract_canon_sha256":"989320d9e8739d8d567d8c76682d257fb1507f875e972ff49178494fb60ac82d"},"schema_version":"1.0"},"canonical_sha256":"7cb2bc398fe235ae706751a26a4efe207d700016528cfbff47dec47f1700e98e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:08:27.214566Z","signature_b64":"fYgQ+WCpUkKUQF0kpFfvWz6vVcLgM4QR70huokfCTKMwx9ltbkxF85ndDZHtfL+Wn3++aBAqB1AZCQnRwOurBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7cb2bc398fe235ae706751a26a4efe207d700016528cfbff47dec47f1700e98e","last_reissued_at":"2026-05-18T00:08:27.214153Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:08:27.214153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.10252","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":"2026-05-18T00:08:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWWQ39CGYKq6eGrRV/EAekaZdg24EdblI247BtPU2yID3ri1tFmKMT24OTXNXi+Kb66mst8rbxgS/PDxhK/XBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:02:32.360185Z"},"content_sha256":"2e81860dbadc38bdc10be3920526eb5c36166dcbdaf537a848a657f81ac1894a","schema_version":"1.0","event_id":"sha256:2e81860dbadc38bdc10be3920526eb5c36166dcbdaf537a848a657f81ac1894a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:PSZLYOMP4I2244DHKGRGUTX6EB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimized quantum f-divergences and data processing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.IT","hep-th","math-ph","math.IT","math.MP"],"primary_cat":"quant-ph","authors_text":"Mark M. Wilde","submitted_at":"2017-10-27T17:34:34Z","abstract_excerpt":"The quantum relative entropy is a measure of the distinguishability of two quantum states, and it is a unifying concept in quantum information theory: many information measures such as entropy, conditional entropy, mutual information, and entanglement measures can be realized from it. As such, there has been broad interest in generalizing the notion to further understand its most basic properties, one of which is the data processing inequality. The quantum f-divergence of Petz is one generalization of the quantum relative entropy, and it also leads to other relative entropies, such as the Petz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10252","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":"2026-05-18T00:08:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"koQJ5tZTK0zmigel3umWNEBYJPV9fyvTEvYqzOIGJycP8g5h6KK5oEgkCp6h652SeYHXrt3ce/TcZqD0ypfLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:02:32.360563Z"},"content_sha256":"964ea1c847c5d96f3dc1907357c762cddc5720aef90220e7202dad6814ebe293","schema_version":"1.0","event_id":"sha256:964ea1c847c5d96f3dc1907357c762cddc5720aef90220e7202dad6814ebe293"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PSZLYOMP4I2244DHKGRGUTX6EB/bundle.json","state_url":"https://pith.science/pith/PSZLYOMP4I2244DHKGRGUTX6EB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PSZLYOMP4I2244DHKGRGUTX6EB/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":"2026-06-04T23:02:32Z","links":{"resolver":"https://pith.science/pith/PSZLYOMP4I2244DHKGRGUTX6EB","bundle":"https://pith.science/pith/PSZLYOMP4I2244DHKGRGUTX6EB/bundle.json","state":"https://pith.science/pith/PSZLYOMP4I2244DHKGRGUTX6EB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PSZLYOMP4I2244DHKGRGUTX6EB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PSZLYOMP4I2244DHKGRGUTX6EB","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":"989320d9e8739d8d567d8c76682d257fb1507f875e972ff49178494fb60ac82d","cross_cats_sorted":["cs.IT","hep-th","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-27T17:34:34Z","title_canon_sha256":"fc960c4bc8b7a47326a0685e2f68b36974f9e2333fa01e84b418caaac340fd9e"},"schema_version":"1.0","source":{"id":"1710.10252","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.10252","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"arxiv_version","alias_value":"1710.10252v2","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10252","created_at":"2026-05-18T00:08:27Z"},{"alias_kind":"pith_short_12","alias_value":"PSZLYOMP4I22","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"PSZLYOMP4I2244DH","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"PSZLYOMP","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:964ea1c847c5d96f3dc1907357c762cddc5720aef90220e7202dad6814ebe293","target":"graph","created_at":"2026-05-18T00:08:27Z","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 quantum relative entropy is a measure of the distinguishability of two quantum states, and it is a unifying concept in quantum information theory: many information measures such as entropy, conditional entropy, mutual information, and entanglement measures can be realized from it. As such, there has been broad interest in generalizing the notion to further understand its most basic properties, one of which is the data processing inequality. The quantum f-divergence of Petz is one generalization of the quantum relative entropy, and it also leads to other relative entropies, such as the Petz","authors_text":"Mark M. Wilde","cross_cats":["cs.IT","hep-th","math-ph","math.IT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-27T17:34:34Z","title":"Optimized quantum f-divergences and data processing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10252","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":"sha256:2e81860dbadc38bdc10be3920526eb5c36166dcbdaf537a848a657f81ac1894a","target":"record","created_at":"2026-05-18T00:08:27Z","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":"989320d9e8739d8d567d8c76682d257fb1507f875e972ff49178494fb60ac82d","cross_cats_sorted":["cs.IT","hep-th","math-ph","math.IT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-10-27T17:34:34Z","title_canon_sha256":"fc960c4bc8b7a47326a0685e2f68b36974f9e2333fa01e84b418caaac340fd9e"},"schema_version":"1.0","source":{"id":"1710.10252","kind":"arxiv","version":2}},"canonical_sha256":"7cb2bc398fe235ae706751a26a4efe207d700016528cfbff47dec47f1700e98e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7cb2bc398fe235ae706751a26a4efe207d700016528cfbff47dec47f1700e98e","first_computed_at":"2026-05-18T00:08:27.214153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:08:27.214153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fYgQ+WCpUkKUQF0kpFfvWz6vVcLgM4QR70huokfCTKMwx9ltbkxF85ndDZHtfL+Wn3++aBAqB1AZCQnRwOurBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:08:27.214566Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.10252","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e81860dbadc38bdc10be3920526eb5c36166dcbdaf537a848a657f81ac1894a","sha256:964ea1c847c5d96f3dc1907357c762cddc5720aef90220e7202dad6814ebe293"],"state_sha256":"d8a264e883eee20ae263eefe934caa630d5cc31b61bb6a94f089effaee94c262"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x7hfqnAFIizQ5N9wGBBB9ZGQFehvqkdP6in/qgK1tae5Fd64fJFAr0bkFuyluEWG5mTklWd14AXxEPCajnw5BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:02:32.363067Z","bundle_sha256":"e146edd18491409bb43fb3f950bc395fc540a2016a83ff5eecd4c4db39fb70a0"}}