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dependent observations can eliminate residual uncertainty exactly after finitely many samples.","weakest_assumption":"The characterization of the zero-entropy regime relies on mild support assumptions for the discrete marginals and the enlarged coupling space allowing arbitrary dependence among the Y_i while preserving each marginal exactly."}},"verdict_id":"30b52f20-f82e-4be7-ba88-2948ce34f30b"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:65ad0af67a9d6b14d107e4d2329275601a7b2d4e1838f1f8852d2afb2c3b13af","target":"record","created_at":"2026-05-20T00:01:59Z","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":"77d2fd0e6dd95878cacf761e5349a9fe53a8eca8983bf855124af240250e7ac1","cross_cats_sorted":["math.IT","math.ST","stat.ML","stat.TH"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.IT","submitted_at":"2026-05-15T17:39:57Z","title_canon_sha256":"6432a681d875997e59a6ef7bdbc3e6408aadb6a8908b319f4d299c684a87f19c"},"schema_version":"1.0","source":{"id":"2605.16229","kind":"arxiv","version":1}},"canonical_sha256":"4b7e97b0af030074ebe936839fc31630b1d93415365a0b5b4da2e28abf42bc83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b7e97b0af030074ebe936839fc31630b1d93415365a0b5b4da2e28abf42bc83","first_computed_at":"2026-05-20T00:01:59.071108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:59.071108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hVB6AacyUOJbyqXG22wk6vIJ45VJ+qHw3C25ALtfwxQadblIn3hLKiT4nMsjpqhMUG4Gbaw98J3690B1L35WDA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:59.071835Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16229","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65ad0af67a9d6b14d107e4d2329275601a7b2d4e1838f1f8852d2afb2c3b13af","sha256:98950cf8650f71bd896d53f8aa23ea7e696bcca3973128c6722a6abb1777c08d"],"state_sha256":"13a3142cc1d10b081305dfc274adac5897eeb1586f8e99760a47717c9efb3248"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c1j0r1G+ypvD1F78qExxu3n0hibjdjmZM5MWMF7U2DmEoEpmPKt8vw0G6W5STeg+n2MP23lElzCdsmANkBtLDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:38:49.154847Z","bundle_sha256":"bcb2d54567d3f68e4edf7bafe4e8546610bf9a88835753bb5195a8c5799c04f9"}}