{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2RL7NRSS6IL4JT5D2KMPGFBTAP","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":"2cbe702216a0c3e718c7314c8eb5b12662fa9b65182af5345aa2157daf10fba1","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-02-09T20:33:18Z","title_canon_sha256":"6d87de55ee7685ff2560b172dd5f722acfa6868163554d349577bd74473e6b36"},"schema_version":"1.0","source":{"id":"2602.09176","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2602.09176","created_at":"2026-06-29T01:15:04Z"},{"alias_kind":"arxiv_version","alias_value":"2602.09176v2","created_at":"2026-06-29T01:15:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2602.09176","created_at":"2026-06-29T01:15:04Z"},{"alias_kind":"pith_short_12","alias_value":"2RL7NRSS6IL4","created_at":"2026-06-29T01:15:04Z"},{"alias_kind":"pith_short_16","alias_value":"2RL7NRSS6IL4JT5D","created_at":"2026-06-29T01:15:04Z"},{"alias_kind":"pith_short_8","alias_value":"2RL7NRSS","created_at":"2026-06-29T01:15:04Z"}],"graph_snapshots":[{"event_id":"sha256:07884b4d67e3b91dbc3430d9190512d8fb434366107adb3a41c3b6c51b8b15f3","target":"graph","created_at":"2026-06-29T01:15:04Z","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/2602.09176/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider finite blocklength lossy compression of information sources whose components are independent but non-identically distributed. Crucially, Gaussian sources with memory can be cast in this form. We show that under the operational constraint of exceeding distortion $d$ with probability at most $\\epsilon$, the minimum achievable rate at blocklength $n$ satisfies $R(n, d, \\epsilon)=\\mathbb{R}_n(d)+\\sqrt{\\frac{\\mathbb{V}_n(d)}{n}}Q^{-1}(\\epsilon)+O \\left(\\frac{\\log n}{n}\\right)$, where $Q^{-1}(\\cdot)$ is the inverse $ Q$-function, while $\\mathbb{R}_n(d)$ and $\\mathbb{V}_n(d)$ are fundamen","authors_text":"Eyyup Tasci, Victoria Kostina","cross_cats":["math.IT"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-02-09T20:33:18Z","title":"Dispersion of Gaussian Sources with Memory and an Extension to Abstract Sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2602.09176","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:e2fb3257b869878dd9f287732cfc6591c1227885e348484f469efb2a0f43ab94","target":"record","created_at":"2026-06-29T01:15:04Z","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":"2cbe702216a0c3e718c7314c8eb5b12662fa9b65182af5345aa2157daf10fba1","cross_cats_sorted":["math.IT"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-02-09T20:33:18Z","title_canon_sha256":"6d87de55ee7685ff2560b172dd5f722acfa6868163554d349577bd74473e6b36"},"schema_version":"1.0","source":{"id":"2602.09176","kind":"arxiv","version":2}},"canonical_sha256":"d457f6c652f217c4cfa3d298f3143303e501b5b618b24bd8ead45238f04ceddd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d457f6c652f217c4cfa3d298f3143303e501b5b618b24bd8ead45238f04ceddd","first_computed_at":"2026-06-29T01:15:04.064873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T01:15:04.064873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wtcMguOnU/tffxhW+mwW4PIvrJOSyTsB4RLLR8kM2gtSt6LArddwdazckgUsFQBoXt6MjyK20qA6uBqF2rqvAw==","signature_status":"signed_v1","signed_at":"2026-06-29T01:15:04.065417Z","signed_message":"canonical_sha256_bytes"},"source_id":"2602.09176","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2fb3257b869878dd9f287732cfc6591c1227885e348484f469efb2a0f43ab94","sha256:07884b4d67e3b91dbc3430d9190512d8fb434366107adb3a41c3b6c51b8b15f3"],"state_sha256":"799c0d53e7b6f551b0c83a21b0d0e78555cfe47554fe72b07cf8c407fff30751"}