{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YCP5PFGXQEE6ECUS5N7VETZSO4","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":"688c48448cd1413e09c29856501510105a2e993f5a9eb57eb6716f00396b9bfe","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T18:00:03Z","title_canon_sha256":"396e81cc4c81f604c7b0fe2fbaaf04446f529b4d4027f1bb0ee4784ec0e4af14"},"schema_version":"1.0","source":{"id":"2607.07799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.07799","created_at":"2026-07-10T00:18:59Z"},{"alias_kind":"arxiv_version","alias_value":"2607.07799v1","created_at":"2026-07-10T00:18:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.07799","created_at":"2026-07-10T00:18:59Z"},{"alias_kind":"pith_short_12","alias_value":"YCP5PFGXQEE6","created_at":"2026-07-10T00:18:59Z"},{"alias_kind":"pith_short_16","alias_value":"YCP5PFGXQEE6ECUS","created_at":"2026-07-10T00:18:59Z"},{"alias_kind":"pith_short_8","alias_value":"YCP5PFGX","created_at":"2026-07-10T00:18:59Z"}],"graph_snapshots":[{"event_id":"sha256:ad45bc2c4732027a6361b266f6f0268777b3369e8b3c701ed4b6e9303d665807","target":"graph","created_at":"2026-07-10T00:18:59Z","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/2607.07799/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The quantum focusing conjecture is a mathematical expression of the idea that semiclassical gravity remains universally attractive. Its off-diagonal part is a monotonicity condition on the double null shape variation of relative entropy on distinct null generators, and has been argued to follow from strong subadditivity of entanglement entropy. Recent proof of a diagonal R\\'enyi quantum null energy condition raises the question: does a full R\\'enyi focusing statement also hold? We answer this question negatively for any R\\'enyi-type divergence satisfying data processing, tensor additivity, and","authors_text":"Pratik Roy, Tanay Kibe","cross_cats":["gr-qc","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T18:00:03Z","title":"No off-diagonal quantum focusing for R\\'enyi divergences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.07799","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":"sha256:58df71a527eac152d9694cc9c510801b1433459ea428e8aeb01895848c5ce2ab","target":"record","created_at":"2026-07-10T00:18:59Z","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":"688c48448cd1413e09c29856501510105a2e993f5a9eb57eb6716f00396b9bfe","cross_cats_sorted":["gr-qc","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-07-08T18:00:03Z","title_canon_sha256":"396e81cc4c81f604c7b0fe2fbaaf04446f529b4d4027f1bb0ee4784ec0e4af14"},"schema_version":"1.0","source":{"id":"2607.07799","kind":"arxiv","version":1}},"canonical_sha256":"c09fd794d78109e20a92eb7f524f32772b99d2abb78ccc96df4c5592ccbbe04a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c09fd794d78109e20a92eb7f524f32772b99d2abb78ccc96df4c5592ccbbe04a","first_computed_at":"2026-07-10T00:18:59.580535Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T00:18:59.580535Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HMrmd+ioFGXWMYeUbqGyO+uqKOJBOzEOiahVAZladkzWGxNL/3hvjh+X+PPdhVU9BXpN1pXKsMhVGKXN+mjpAg==","signature_status":"signed_v1","signed_at":"2026-07-10T00:18:59.580996Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.07799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58df71a527eac152d9694cc9c510801b1433459ea428e8aeb01895848c5ce2ab","sha256:ad45bc2c4732027a6361b266f6f0268777b3369e8b3c701ed4b6e9303d665807"],"state_sha256":"373b19a0e8c21e71ed4ff12bed323aa82b825c6626bf8e463b892f4ca07e8967"}