{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:AY2R4DLLFMNNWG77CBHG7L5CIX","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":"98edcd0c50b06a54b6f7c17927bd527604c207ae36a85bed29278af0ab88d06d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-02-18T15:30:35Z","title_canon_sha256":"6cba99e404974e218fc4fadeeab0cc53272edab785891d4e29b3d3184fd7245d"},"schema_version":"1.0","source":{"id":"2602.16536","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.16536","created_at":"2026-05-20T00:05:42Z"},{"alias_kind":"arxiv_version","alias_value":"2602.16536v2","created_at":"2026-05-20T00:05:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.16536","created_at":"2026-05-20T00:05:42Z"},{"alias_kind":"pith_short_12","alias_value":"AY2R4DLLFMNN","created_at":"2026-05-20T00:05:42Z"},{"alias_kind":"pith_short_16","alias_value":"AY2R4DLLFMNNWG77","created_at":"2026-05-20T00:05:42Z"},{"alias_kind":"pith_short_8","alias_value":"AY2R4DLL","created_at":"2026-05-20T00:05:42Z"}],"graph_snapshots":[{"event_id":"sha256:7accaa43a7d091935116a5efb647576f687ba5e3b89193e8913fca1d84c25ec4","target":"graph","created_at":"2026-05-20T00:05:42Z","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/2602.16536/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Ingleton inequality is a classical linear information inequality that holds for representable matroids but fails to be universally valid for entropic vectors. Understanding the extent to which this inequality can be violated has been a longstanding problem in information theory. In this paper, we show that for a broad class of jointly distributed random variables $(X,Y)$ the Ingleton inequality holds up to a small additive error, even even though the mutual information between $X$ and $Y$ is far from being extractable. Contrary to common intuition, strongly non-extractable mutual informati","authors_text":"Andrei Romashchenko, Rostislav Matveev","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-02-18T15:30:35Z","title":"Spectral Conditions for the Ingleton Inequality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.16536","kind":"arxiv","version":2},"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:e2f922ff524e7a9ef89853beb89bfc50d8935c28b9bf50379e5312f7a17ccbcc","target":"record","created_at":"2026-05-20T00:05:42Z","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":"98edcd0c50b06a54b6f7c17927bd527604c207ae36a85bed29278af0ab88d06d","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2026-02-18T15:30:35Z","title_canon_sha256":"6cba99e404974e218fc4fadeeab0cc53272edab785891d4e29b3d3184fd7245d"},"schema_version":"1.0","source":{"id":"2602.16536","kind":"arxiv","version":2}},"canonical_sha256":"06351e0d6b2b1adb1bff104e6fafa245f4fa2284b1afeaa2d97d18b846c509d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06351e0d6b2b1adb1bff104e6fafa245f4fa2284b1afeaa2d97d18b846c509d3","first_computed_at":"2026-05-20T00:05:42.339921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:05:42.339921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1UlPwsWmTS7VdSBQfAoNL3hW8QhN5EkJAGnU7zqRYjanrciQExBoLS4A2M+i/7G/l1MwsldYb1tE3NZYXF6rDg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:05:42.340376Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.16536","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2f922ff524e7a9ef89853beb89bfc50d8935c28b9bf50379e5312f7a17ccbcc","sha256:7accaa43a7d091935116a5efb647576f687ba5e3b89193e8913fca1d84c25ec4"],"state_sha256":"a8296db5501cea5f3a104fa4f3568fd62b71e14629dc8546269758e0b17cf5bf"}