{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CALBY7CTUEXTB6AHK2446PJD66","short_pith_number":"pith:CALBY7CT","canonical_record":{"source":{"id":"1506.02090","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-06T00:07:01Z","cross_cats_sorted":[],"title_canon_sha256":"0f8379c7928c892b219547ba3a21b4433f56a0a46489afdeae22c0f2fc67c43d","abstract_canon_sha256":"6ba849cd02e27efde18f7b55e52cc001635177e3c05e01fa1b983f752db66371"},"schema_version":"1.0"},"canonical_sha256":"10161c7c53a12f30f80756b9cf3d23f7ab47d9a1355262606c13c5f12a941785","source":{"kind":"arxiv","id":"1506.02090","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02090","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02090v3","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02090","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"CALBY7CTUEXT","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CALBY7CTUEXTB6AH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CALBY7CT","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CALBY7CTUEXTB6AHK2446PJD66","target":"record","payload":{"canonical_record":{"source":{"id":"1506.02090","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-06T00:07:01Z","cross_cats_sorted":[],"title_canon_sha256":"0f8379c7928c892b219547ba3a21b4433f56a0a46489afdeae22c0f2fc67c43d","abstract_canon_sha256":"6ba849cd02e27efde18f7b55e52cc001635177e3c05e01fa1b983f752db66371"},"schema_version":"1.0"},"canonical_sha256":"10161c7c53a12f30f80756b9cf3d23f7ab47d9a1355262606c13c5f12a941785","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:10:33.344618Z","signature_b64":"6G5H09wHap3I1mT/m7zVL39icb+aUrXdKrgi9hAcnXzN5YmlxrfV/guYupw+wF3FU7L+XzSUO+ANz/RThkI6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10161c7c53a12f30f80756b9cf3d23f7ab47d9a1355262606c13c5f12a941785","last_reissued_at":"2026-05-18T01:10:33.344109Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:10:33.344109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.02090","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f2nDk8a3VlHn6Kt8jv5xKgcaEfqTfGV13hTqUUzHzochE2imfjTmwtxeqnNBwWuszRVTiSySkGk+S+KUoBJACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T12:39:29.540878Z"},"content_sha256":"9a45dad49f93842e70181b2c7d5051b9679f7f611164b2940f7ad33c7d6fe040","schema_version":"1.0","event_id":"sha256:9a45dad49f93842e70181b2c7d5051b9679f7f611164b2940f7ad33c7d6fe040"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CALBY7CTUEXTB6AHK2446PJD66","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A family of generalized quantum entropies: definition and properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"F. Holik, G.M. Bosyk, M. Portesi, P.W. Lamberti, S. Zozor","submitted_at":"2015-06-06T00:07:01Z","abstract_excerpt":"We present a quantum version of the generalized $(h,\\phi)$-entropies, introduced by Salicr\\'u \\textit{et al.} for the study of classical probability distributions. We establish their basic properties, and show that already known quantum entropies such as von Neumann, and quantum versions of R\\'enyi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicr\\'u form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum $(h,\\phi)$-entropies under the action of quantum operatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02090","kind":"arxiv","version":3},"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":"2026-05-18T01:10:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"baXKAeHS5vBhp8iDRNhIGbnL+HMiPC1P5QxhAKKEPi3fOxrM0nPagdrcyM+8Iz9zobS8MpMDQ9E6wuCef32MDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T12:39:29.541226Z"},"content_sha256":"22d1e7be3b7d647081428b7a4228ac0acc01839044b5719fb3709f7ed25b8d05","schema_version":"1.0","event_id":"sha256:22d1e7be3b7d647081428b7a4228ac0acc01839044b5719fb3709f7ed25b8d05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CALBY7CTUEXTB6AHK2446PJD66/bundle.json","state_url":"https://pith.science/pith/CALBY7CTUEXTB6AHK2446PJD66/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CALBY7CTUEXTB6AHK2446PJD66/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":"2026-05-19T12:39:29Z","links":{"resolver":"https://pith.science/pith/CALBY7CTUEXTB6AHK2446PJD66","bundle":"https://pith.science/pith/CALBY7CTUEXTB6AHK2446PJD66/bundle.json","state":"https://pith.science/pith/CALBY7CTUEXTB6AHK2446PJD66/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CALBY7CTUEXTB6AHK2446PJD66/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CALBY7CTUEXTB6AHK2446PJD66","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":"6ba849cd02e27efde18f7b55e52cc001635177e3c05e01fa1b983f752db66371","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-06T00:07:01Z","title_canon_sha256":"0f8379c7928c892b219547ba3a21b4433f56a0a46489afdeae22c0f2fc67c43d"},"schema_version":"1.0","source":{"id":"1506.02090","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02090","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02090v3","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02090","created_at":"2026-05-18T01:10:33Z"},{"alias_kind":"pith_short_12","alias_value":"CALBY7CTUEXT","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"CALBY7CTUEXTB6AH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"CALBY7CT","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:22d1e7be3b7d647081428b7a4228ac0acc01839044b5719fb3709f7ed25b8d05","target":"graph","created_at":"2026-05-18T01:10:33Z","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":"We present a quantum version of the generalized $(h,\\phi)$-entropies, introduced by Salicr\\'u \\textit{et al.} for the study of classical probability distributions. We establish their basic properties, and show that already known quantum entropies such as von Neumann, and quantum versions of R\\'enyi, Tsallis, and unified entropies, constitute particular classes of the present general quantum Salicr\\'u form. We exhibit that majorization plays a key role in explaining most of their common features. We give a characterization of the quantum $(h,\\phi)$-entropies under the action of quantum operatio","authors_text":"F. Holik, G.M. Bosyk, M. Portesi, P.W. Lamberti, S. Zozor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-06T00:07:01Z","title":"A family of generalized quantum entropies: definition and properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02090","kind":"arxiv","version":3},"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":"sha256:9a45dad49f93842e70181b2c7d5051b9679f7f611164b2940f7ad33c7d6fe040","target":"record","created_at":"2026-05-18T01:10:33Z","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":"6ba849cd02e27efde18f7b55e52cc001635177e3c05e01fa1b983f752db66371","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-06-06T00:07:01Z","title_canon_sha256":"0f8379c7928c892b219547ba3a21b4433f56a0a46489afdeae22c0f2fc67c43d"},"schema_version":"1.0","source":{"id":"1506.02090","kind":"arxiv","version":3}},"canonical_sha256":"10161c7c53a12f30f80756b9cf3d23f7ab47d9a1355262606c13c5f12a941785","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10161c7c53a12f30f80756b9cf3d23f7ab47d9a1355262606c13c5f12a941785","first_computed_at":"2026-05-18T01:10:33.344109Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:33.344109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6G5H09wHap3I1mT/m7zVL39icb+aUrXdKrgi9hAcnXzN5YmlxrfV/guYupw+wF3FU7L+XzSUO+ANz/RThkI6Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:33.344618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02090","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9a45dad49f93842e70181b2c7d5051b9679f7f611164b2940f7ad33c7d6fe040","sha256:22d1e7be3b7d647081428b7a4228ac0acc01839044b5719fb3709f7ed25b8d05"],"state_sha256":"eeaa0215589aafc31a7fbf9755ec29c465c0ea834947bf9abeb47fdea01ee4c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bpv+zuYBsO9lO8CPoUdizova9vTvbscSwgXqmNoskpoJaAImAOP5EWzjeZYMR35c9jsM0OGRop/8srvPpom9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T12:39:29.543473Z","bundle_sha256":"6a3441a00ef7d25fd20bf507b8c8e6a2a43942f624c8df273e11dd94ce04a24e"}}