{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Z4MLOSI43TVDZ6AIFDBYF6C7NK","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":"30b88993079e803e9af19710b329bb33d910a8899cc6337d2201963e17d9e83b","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-23T17:20:40Z","title_canon_sha256":"8226c89c93be97f9abb90fb3bb0ad343210c8855aa7028a26613b79510af1d3e"},"schema_version":"1.0","source":{"id":"1207.5458","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5458","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5458v1","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5458","created_at":"2026-05-18T03:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"Z4MLOSI43TVD","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"Z4MLOSI43TVDZ6AI","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"Z4MLOSI4","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:bf0976cc3b4fe85fdc9c5c492f1d4c21fd90486f945645a89f57fd7af1e49ec2","target":"graph","created_at":"2026-05-18T03:50:23Z","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 show that two essentially conditional linear inequalities for Shannon's entropies (including the Zhang-Yeung'97 conditional inequality) do not hold for asymptotically entropic points. This means that these inequalities are non-robust in a very strong sense. This result raises the question of the meaning of these inequalities and the validity of their use in practice-oriented applications.","authors_text":"Andrei Romashchenko, Tarik Kaced","cross_cats":["math.IT","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-23T17:20:40Z","title":"On the Non-robustness of Essentially Conditional Information Inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5458","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:ccc0484107a2ccb3511d3d4308e8b5563fedf941021491fe2f09d242c4549b3d","target":"record","created_at":"2026-05-18T03:50:23Z","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":"30b88993079e803e9af19710b329bb33d910a8899cc6337d2201963e17d9e83b","cross_cats_sorted":["math.IT","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2012-07-23T17:20:40Z","title_canon_sha256":"8226c89c93be97f9abb90fb3bb0ad343210c8855aa7028a26613b79510af1d3e"},"schema_version":"1.0","source":{"id":"1207.5458","kind":"arxiv","version":1}},"canonical_sha256":"cf18b7491cdcea3cf80828c382f85f6aa60b009005c0eb2b81f0e68a49aa9569","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf18b7491cdcea3cf80828c382f85f6aa60b009005c0eb2b81f0e68a49aa9569","first_computed_at":"2026-05-18T03:50:23.411089Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:23.411089Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fXbj5VEZRS+pRRWBZCDpY3I4IWeLrBGVlYgIWaCVDp762hLqyN6vcRdM2SsIkI1+aJxj5GYrcIuiaBe0V+WCDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:23.411760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5458","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccc0484107a2ccb3511d3d4308e8b5563fedf941021491fe2f09d242c4549b3d","sha256:bf0976cc3b4fe85fdc9c5c492f1d4c21fd90486f945645a89f57fd7af1e49ec2"],"state_sha256":"20067290c7b47914e0e31dc0f88fb7973d358e143fd8b79010c5ceee02a5fdb1"}