{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DBLE7WQLVMS3OORV2IDELQFM5E","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":"4f7517fec057f45fa22c8dcb7d979cd3cba7db2db0823162e01d8c700f6316bb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-03T07:38:17Z","title_canon_sha256":"9e251d77834c5ba9c6dfcf9a6fa10454c4a55ffb32db1c86f681ed687e9197aa"},"schema_version":"1.0","source":{"id":"1501.00539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00539","created_at":"2026-05-18T02:30:07Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00539v1","created_at":"2026-05-18T02:30:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00539","created_at":"2026-05-18T02:30:07Z"},{"alias_kind":"pith_short_12","alias_value":"DBLE7WQLVMS3","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DBLE7WQLVMS3OORV","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DBLE7WQL","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:15de5b1462bc45d92bcb7e962dce4eb27d283c52e07d5b04837ee39cb4682617","target":"graph","created_at":"2026-05-18T02:30:07Z","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":"Two maximization problems of R\\'enyi entropy rate are investigated: the maximization over all stochastic processes whose marginals satisfy a linear constraint, and the Burg-like maximization over all stochastic processes whose autocovariance function begins with some given values. The solutions are related to the solutions to the analogous maximization problems of Shannon entropy rate.","authors_text":"Amos Lapidoth, Christoph Bunte","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-03T07:38:17Z","title":"Maximum R\\'enyi Entropy Rate"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00539","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":"sha256:97253824796c82e62c8e853e3afa1365ddffe66a604bc838ec37096e7f42a088","target":"record","created_at":"2026-05-18T02:30:07Z","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":"4f7517fec057f45fa22c8dcb7d979cd3cba7db2db0823162e01d8c700f6316bb","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-01-03T07:38:17Z","title_canon_sha256":"9e251d77834c5ba9c6dfcf9a6fa10454c4a55ffb32db1c86f681ed687e9197aa"},"schema_version":"1.0","source":{"id":"1501.00539","kind":"arxiv","version":1}},"canonical_sha256":"18564fda0bab25b73a35d20645c0ace9348c697fabc793eab98d5d642cc4bb75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"18564fda0bab25b73a35d20645c0ace9348c697fabc793eab98d5d642cc4bb75","first_computed_at":"2026-05-18T02:30:07.325508Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:07.325508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8h26HpQEIlP+s+Nmtqkzw5QkvGuVYrey7LlJMOMXEnaM3ldhWSSkS4UpFNopZInP1f50lMs70F2z8Eke9DXoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:07.326754Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97253824796c82e62c8e853e3afa1365ddffe66a604bc838ec37096e7f42a088","sha256:15de5b1462bc45d92bcb7e962dce4eb27d283c52e07d5b04837ee39cb4682617"],"state_sha256":"d810bb550a37254711c80fbf940995f488733b8395713fdbc6a482a343eefdd7"}