{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3ZJERFRSPMNY47ZDAOMML4OMTM","short_pith_number":"pith:3ZJERFRS","canonical_record":{"source":{"id":"1606.08443","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-27T20:00:02Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"title_canon_sha256":"5f834bf56ee0307dc4276a87cd3c545336fa32c3c18159b691661dfe87610020","abstract_canon_sha256":"5abd1865c7065415d4f1089a725782e6297589407758aca8ab03bc3b9b06e0cd"},"schema_version":"1.0"},"canonical_sha256":"de524896327b1b8e7f230398c5f1cc9b2db2baec3c023469629b4a2a049bb361","source":{"kind":"arxiv","id":"1606.08443","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08443","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08443v3","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08443","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"3ZJERFRSPMNY","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3ZJERFRSPMNY47ZD","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3ZJERFRS","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3ZJERFRSPMNY47ZDAOMML4OMTM","target":"record","payload":{"canonical_record":{"source":{"id":"1606.08443","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-27T20:00:02Z","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"title_canon_sha256":"5f834bf56ee0307dc4276a87cd3c545336fa32c3c18159b691661dfe87610020","abstract_canon_sha256":"5abd1865c7065415d4f1089a725782e6297589407758aca8ab03bc3b9b06e0cd"},"schema_version":"1.0"},"canonical_sha256":"de524896327b1b8e7f230398c5f1cc9b2db2baec3c023469629b4a2a049bb361","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:48.413154Z","signature_b64":"cMsappbirTKutshezfs7MWNOc4kTeNb2VdUvXlRvubseyufFGGE8LPFx7k3MvDwmq0LvGTdnnvoo3VuwZh/cDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de524896327b1b8e7f230398c5f1cc9b2db2baec3c023469629b4a2a049bb361","last_reissued_at":"2026-05-18T00:51:48.412418Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:48.412418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.08443","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":"2026-05-18T00:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kH5NNS9umJzdwCaV38oJaAQ1HOS/LPCLHgyzpJLulC/AlygWOGN6pF82nMpjv5BYkR9dtHA/bwjR9m+KCXGmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:07:56.099307Z"},"content_sha256":"15d86db503f5843d7d685f7edf9fa8cb34e42d99c1766a994bab96ac2a296bbe","schema_version":"1.0","event_id":"sha256:15d86db503f5843d7d685f7edf9fa8cb34e42d99c1766a994bab96ac2a296bbe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3ZJERFRSPMNY47ZDAOMML4OMTM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Holographic Proof of R\\'enyi Entropic Inequalities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Tatsuma Nishioka, Yuki Nakaguchi","submitted_at":"2016-06-27T20:00:02Z","abstract_excerpt":"We prove R\\'enyi entropic inequalities in a holographic setup based on the recent proposal for the holographic formula of R\\'enyi entropies when the bulk is stable against any perturbation. Regarding the R\\'enyi parameter as an inverse temperature, we reformulate the entropies in analogy with statistical mechanics, which provides us a concise interpretation of the inequalities as the positivities of entropy, energy and heat capacity. This analogy also makes clear a thermodynamic structure in deriving the holographic formula. As a by-product of the proof we obtain a holographic formula to calcu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08443","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":"2026-05-18T00:51:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b97awzdshE8JnG3G203v8DIAsqwss7t0ZXkKQ5ipBekZvJQVZlZickIHXotZ6C96ItP29xzEELt7Qz5izH8pAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:07:56.099720Z"},"content_sha256":"187031e836baa5a92928a84d722df62d128d247a6fadaa92f572a18da38809be","schema_version":"1.0","event_id":"sha256:187031e836baa5a92928a84d722df62d128d247a6fadaa92f572a18da38809be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3ZJERFRSPMNY47ZDAOMML4OMTM/bundle.json","state_url":"https://pith.science/pith/3ZJERFRSPMNY47ZDAOMML4OMTM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3ZJERFRSPMNY47ZDAOMML4OMTM/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":"2026-05-31T23:07:56Z","links":{"resolver":"https://pith.science/pith/3ZJERFRSPMNY47ZDAOMML4OMTM","bundle":"https://pith.science/pith/3ZJERFRSPMNY47ZDAOMML4OMTM/bundle.json","state":"https://pith.science/pith/3ZJERFRSPMNY47ZDAOMML4OMTM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3ZJERFRSPMNY47ZDAOMML4OMTM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3ZJERFRSPMNY47ZDAOMML4OMTM","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":"5abd1865c7065415d4f1089a725782e6297589407758aca8ab03bc3b9b06e0cd","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-27T20:00:02Z","title_canon_sha256":"5f834bf56ee0307dc4276a87cd3c545336fa32c3c18159b691661dfe87610020"},"schema_version":"1.0","source":{"id":"1606.08443","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.08443","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1606.08443v3","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.08443","created_at":"2026-05-18T00:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"3ZJERFRSPMNY","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3ZJERFRSPMNY47ZD","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3ZJERFRS","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:187031e836baa5a92928a84d722df62d128d247a6fadaa92f572a18da38809be","target":"graph","created_at":"2026-05-18T00:51:48Z","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 prove R\\'enyi entropic inequalities in a holographic setup based on the recent proposal for the holographic formula of R\\'enyi entropies when the bulk is stable against any perturbation. Regarding the R\\'enyi parameter as an inverse temperature, we reformulate the entropies in analogy with statistical mechanics, which provides us a concise interpretation of the inequalities as the positivities of entropy, energy and heat capacity. This analogy also makes clear a thermodynamic structure in deriving the holographic formula. As a by-product of the proof we obtain a holographic formula to calcu","authors_text":"Tatsuma Nishioka, Yuki Nakaguchi","cross_cats":["cond-mat.str-el","gr-qc","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-27T20:00:02Z","title":"A Holographic Proof of R\\'enyi Entropic Inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.08443","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":"sha256:15d86db503f5843d7d685f7edf9fa8cb34e42d99c1766a994bab96ac2a296bbe","target":"record","created_at":"2026-05-18T00:51:48Z","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":"5abd1865c7065415d4f1089a725782e6297589407758aca8ab03bc3b9b06e0cd","cross_cats_sorted":["cond-mat.str-el","gr-qc","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-06-27T20:00:02Z","title_canon_sha256":"5f834bf56ee0307dc4276a87cd3c545336fa32c3c18159b691661dfe87610020"},"schema_version":"1.0","source":{"id":"1606.08443","kind":"arxiv","version":3}},"canonical_sha256":"de524896327b1b8e7f230398c5f1cc9b2db2baec3c023469629b4a2a049bb361","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de524896327b1b8e7f230398c5f1cc9b2db2baec3c023469629b4a2a049bb361","first_computed_at":"2026-05-18T00:51:48.412418Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:48.412418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cMsappbirTKutshezfs7MWNOc4kTeNb2VdUvXlRvubseyufFGGE8LPFx7k3MvDwmq0LvGTdnnvoo3VuwZh/cDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:48.413154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.08443","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15d86db503f5843d7d685f7edf9fa8cb34e42d99c1766a994bab96ac2a296bbe","sha256:187031e836baa5a92928a84d722df62d128d247a6fadaa92f572a18da38809be"],"state_sha256":"d4c361350a0f9b36f4b71f868b58197f930a291cc6aed306270fa11af51dc39e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uu9K+h4OdlGgQsUstEWAb5I/mlQgTrUv4gyr/XdoJ4BrZjNuZj7a22Bd54Lavy5UvgAD2ygCLIi8Nkwdf8FBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:07:56.101868Z","bundle_sha256":"326c62d736fb1dc14b86f4ab52493a8ce3f15769ed79c970bc02b0b9eea3a8fc"}}