{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:U5OR4XQXWASJFQDUJGCQAQ32SJ","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":"a70469fcef84dcad7b9a35d63338948007c603e6ed7b4a0ce6a3958856fa2e01","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-02T09:48:46Z","title_canon_sha256":"d690441f33adb7c34ff97fd0be448722f9b1d8af2a9b40719f0ae91d15a172bd"},"schema_version":"1.0","source":{"id":"2608.01124","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.01124","created_at":"2026-08-04T01:56:55Z"},{"alias_kind":"arxiv_version","alias_value":"2608.01124v1","created_at":"2026-08-04T01:56:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.01124","created_at":"2026-08-04T01:56:55Z"},{"alias_kind":"pith_short_12","alias_value":"U5OR4XQXWASJ","created_at":"2026-08-04T01:56:55Z"},{"alias_kind":"pith_short_16","alias_value":"U5OR4XQXWASJFQDU","created_at":"2026-08-04T01:56:55Z"},{"alias_kind":"pith_short_8","alias_value":"U5OR4XQX","created_at":"2026-08-04T01:56:55Z"}],"graph_snapshots":[{"event_id":"sha256:711915dad2a493a81967af4fbe3dba76c026efd360471c034376c4cb3cccadeb","target":"graph","created_at":"2026-08-04T01:56:55Z","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/2608.01124/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantum relative entropies play a fundamental role in quantum information theory. In the classical setting, R\\'enyi relative entropies constitute, up to linear combinations, the most general class of relative entropies, naturally motivating the search for their minimal and maximal quantum extensions. The minimal extension is known to be the reverse sandwiched R\\'enyi relative entropy for $\\alpha\\in[0,1/2)$ and the sandwiched R\\'enyi relative entropy for $\\alpha\\geq 1/2$. In contrast, the maximal extension had previously been identified only for $\\alpha\\in[0,2]$, where it is given by the geomet","authors_text":"Roberto Rubboli","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-02T09:48:46Z","title":"Maximal R\\'enyi Relative Entropy for $\\alpha>2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.01124","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":"sha256:99396910df2bea5265f86b3c650f6f778fe94e206b2a981a8fb0349feb943fe4","target":"record","created_at":"2026-08-04T01:56:55Z","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":"a70469fcef84dcad7b9a35d63338948007c603e6ed7b4a0ce6a3958856fa2e01","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2026-08-02T09:48:46Z","title_canon_sha256":"d690441f33adb7c34ff97fd0be448722f9b1d8af2a9b40719f0ae91d15a172bd"},"schema_version":"1.0","source":{"id":"2608.01124","kind":"arxiv","version":1}},"canonical_sha256":"a75d1e5e17b02492c074498500437a927e855003ff7d9da689aa3c577952d609","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a75d1e5e17b02492c074498500437a927e855003ff7d9da689aa3c577952d609","first_computed_at":"2026-08-04T01:56:55.188461Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T01:56:55.188461Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C+iej5NgpAk0AeBlnfjFzWjaC1cKGj1F0feoGso135yqtzBWE0UjY6f7QW7F7Irg7NxDh8CylIwGgGkxMIyeDw==","signature_status":"signed_v1","signed_at":"2026-08-04T01:56:55.189924Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.01124","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99396910df2bea5265f86b3c650f6f778fe94e206b2a981a8fb0349feb943fe4","sha256:711915dad2a493a81967af4fbe3dba76c026efd360471c034376c4cb3cccadeb"],"state_sha256":"bd89a01c6c4e26e8e028dff0bc25a994ae071adcfc6f08d54b92e0488d60fc6e"}