{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:TC6QI2OC2QZXPFH2LFOWHPRPSK","short_pith_number":"pith:TC6QI2OC","canonical_record":{"source":{"id":"1703.05244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-15T16:35:39Z","cross_cats_sorted":[],"title_canon_sha256":"6713550cba5a13da33001e3fae9e6baa52bc50bda5d16bf3996259e067f7a30f","abstract_canon_sha256":"8a8bf66b1121fc6f41dd03d4ec72b3583abd1223fb0d203f1e20415edcbc2d7e"},"schema_version":"1.0"},"canonical_sha256":"98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450","source":{"kind":"arxiv","id":"1703.05244","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05244","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05244v1","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05244","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"pith_short_12","alias_value":"TC6QI2OC2QZX","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TC6QI2OC2QZXPFH2","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TC6QI2OC","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:TC6QI2OC2QZXPFH2LFOWHPRPSK","target":"record","payload":{"canonical_record":{"source":{"id":"1703.05244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-15T16:35:39Z","cross_cats_sorted":[],"title_canon_sha256":"6713550cba5a13da33001e3fae9e6baa52bc50bda5d16bf3996259e067f7a30f","abstract_canon_sha256":"8a8bf66b1121fc6f41dd03d4ec72b3583abd1223fb0d203f1e20415edcbc2d7e"},"schema_version":"1.0"},"canonical_sha256":"98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:05.325676Z","signature_b64":"EgkYh7sPfOaANAibJGitVEprYZAUwWN1Wv1gRM6Kt6RxH95Y7JgDArAFgp3vtuLt7/IHpvBF+GYUALguKn5jDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450","last_reissued_at":"2026-05-18T00:30:05.325225Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:05.325225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.05244","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":"2026-05-18T00:30:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zdYGS3e5R0bMV0fnBkKS4yLfhMsyly+RT8iRDCEBiBYwin3hx7ecqTWTuPfSJ/YF7+Xy+cP8XSuF7PJfqODjAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:51:49.768811Z"},"content_sha256":"b847e43e35d80b2094fad5e9d2b410128ee95be371873686a731635880243377","schema_version":"1.0","event_id":"sha256:b847e43e35d80b2094fad5e9d2b410128ee95be371873686a731635880243377"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:TC6QI2OC2QZXPFH2LFOWHPRPSK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maps on positive operators preserving R\\'enyi type relative entropies and maximal $f$-divergences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Gerg\\H{o} Nagy, Marcell Ga\\'al","submitted_at":"2017-03-15T16:35:39Z","abstract_excerpt":"In this paper we deal with two quantum relative entropy preserver problems on the cones of positive (either positive definite or positive semidefinite) operators. The first one is related to a quantum R\\'enyi relative entropy like quantity which plays an important role in classical-quantum channel decoding. The second one is connected to the so-called maximal $f$-divergences introduced by D. Petz and M. B. Ruskai who considered this quantity as a generalization of the usual Belavkin-Staszewski relative entropy. We emphasize in advance that all the results are obtained for finite dimensional Hi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05244","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":"2026-05-18T00:30:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iHsG7z8Tblhm2GeNhYrRorfIPbUYrtp39zmo/voK37gIsLDWeNr2mifG3wHRkGdxyqwugVCliNUgbjBL8vyCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T17:51:49.769346Z"},"content_sha256":"98b883aa12d4fc501f2c003ec60da0dd1bb8d955f2d869e1e508b4f6e99f1780","schema_version":"1.0","event_id":"sha256:98b883aa12d4fc501f2c003ec60da0dd1bb8d955f2d869e1e508b4f6e99f1780"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK/bundle.json","state_url":"https://pith.science/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK/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":"2026-06-24T17:51:49Z","links":{"resolver":"https://pith.science/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK","bundle":"https://pith.science/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK/bundle.json","state":"https://pith.science/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TC6QI2OC2QZXPFH2LFOWHPRPSK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TC6QI2OC2QZXPFH2LFOWHPRPSK","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":"8a8bf66b1121fc6f41dd03d4ec72b3583abd1223fb0d203f1e20415edcbc2d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-15T16:35:39Z","title_canon_sha256":"6713550cba5a13da33001e3fae9e6baa52bc50bda5d16bf3996259e067f7a30f"},"schema_version":"1.0","source":{"id":"1703.05244","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.05244","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"arxiv_version","alias_value":"1703.05244v1","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.05244","created_at":"2026-05-18T00:30:05Z"},{"alias_kind":"pith_short_12","alias_value":"TC6QI2OC2QZX","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TC6QI2OC2QZXPFH2","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TC6QI2OC","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:98b883aa12d4fc501f2c003ec60da0dd1bb8d955f2d869e1e508b4f6e99f1780","target":"graph","created_at":"2026-05-18T00:30:05Z","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 deal with two quantum relative entropy preserver problems on the cones of positive (either positive definite or positive semidefinite) operators. The first one is related to a quantum R\\'enyi relative entropy like quantity which plays an important role in classical-quantum channel decoding. The second one is connected to the so-called maximal $f$-divergences introduced by D. Petz and M. B. Ruskai who considered this quantity as a generalization of the usual Belavkin-Staszewski relative entropy. We emphasize in advance that all the results are obtained for finite dimensional Hi","authors_text":"Gerg\\H{o} Nagy, Marcell Ga\\'al","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-15T16:35:39Z","title":"Maps on positive operators preserving R\\'enyi type relative entropies and maximal $f$-divergences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.05244","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:b847e43e35d80b2094fad5e9d2b410128ee95be371873686a731635880243377","target":"record","created_at":"2026-05-18T00:30:05Z","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":"8a8bf66b1121fc6f41dd03d4ec72b3583abd1223fb0d203f1e20415edcbc2d7e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-03-15T16:35:39Z","title_canon_sha256":"6713550cba5a13da33001e3fae9e6baa52bc50bda5d16bf3996259e067f7a30f"},"schema_version":"1.0","source":{"id":"1703.05244","kind":"arxiv","version":1}},"canonical_sha256":"98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450","first_computed_at":"2026-05-18T00:30:05.325225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:05.325225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EgkYh7sPfOaANAibJGitVEprYZAUwWN1Wv1gRM6Kt6RxH95Y7JgDArAFgp3vtuLt7/IHpvBF+GYUALguKn5jDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:05.325676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.05244","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b847e43e35d80b2094fad5e9d2b410128ee95be371873686a731635880243377","sha256:98b883aa12d4fc501f2c003ec60da0dd1bb8d955f2d869e1e508b4f6e99f1780"],"state_sha256":"a3671897a9e2de49c42a69110ee289498fec0957e76dc8daabe76b2151e720cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L49QNkAmdxOWtkTNuKawTxgoyepVCb1dMzfOHz1/UtIpY1tIJ3Tg7uK/bMBlDrFwV2ZilFxgyJzXNZr9RIMqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T17:51:49.771531Z","bundle_sha256":"c07674871abd3000ab0ad48904a6aecef4c2f9b6712714123d996be10e368e03"}}