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In the asymptotic case, the probability of the correct prediction the current machine state after observing $L$ generated symbols tends to $1$ exponentially fast as $1-b^L$ for $0<b<1$ and the infimum of such $b$ is a so-called prediction rate constant.\n  Hence the synchronization and prediction rate constants s"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1406.7363","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-06-28T06:55:37Z","cross_cats_sorted":["cs.DS","cs.FL","math.IT"],"title_canon_sha256":"97ee65e0da9c6877c3872892cf76f0a47a105fcf213f05576455a65604052f97","abstract_canon_sha256":"40d870e2a66640700d413feaa1bd2023e757dc236c6f9442a1a7b102a3ad9a9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:07.685917Z","signature_b64":"QzGQbpixI5n+EmR2E6mvpaBKJJuzbjfS4eNIO2FS+1HqVfG8NGDrjlfAy5qsQlPmbn9JrHxViZc4glmaGw93CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"59a8f63cbe18814ce9499ed48bbf101136c52e4c69d077d8d7c9cdfe69a71ca8","last_reissued_at":"2026-05-18T02:42:07.685365Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:07.685365Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Synchronization Rate for e-machines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DS","cs.FL","math.IT"],"primary_cat":"cs.IT","authors_text":"Mikhail V. 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