{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:7HZYLPU5FD5DJPJ34YZNBM3OZX","short_pith_number":"pith:7HZYLPU5","schema_version":"1.0","canonical_sha256":"f9f385be9d28fa34bd3be632d0b36ecdf40d43adaa89da968071f9c3304ee2fb","source":{"kind":"arxiv","id":"1106.2404","version":1},"attestation_state":"computed","paper":{"title":"Some Results on the Information Loss in Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","nlin.SI"],"primary_cat":"cs.IT","authors_text":"Bernhard C. Geiger, Gernot Kubin","submitted_at":"2011-06-13T09:27:09Z","abstract_excerpt":"In this work we investigate the information loss in (nonlinear) dynamical input-output systems and provide some general results. In particular, we present an upper bound on the information loss rate, defined as the (non-negative) difference between the entropy rates of the jointly stationary stochastic processes at the input and output of the system.\n  We further introduce a family of systems with vanishing information loss rate. It is shown that not only linear filters belong to that family, but - under certain circumstances - also finite-precision implementations of the latter, which typical"},"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":"1106.2404","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2011-06-13T09:27:09Z","cross_cats_sorted":["math.IT","nlin.SI"],"title_canon_sha256":"4bb310c232cb7f65a8148a6e883bffec6acc2d71126addfba454ede9fb950800","abstract_canon_sha256":"56bd5fae2a27c6783560f4299ef3ae096ec6da08a6ba20e92f3014e3648659db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:03:19.361166Z","signature_b64":"t3qLR+1nDneztYIE7YYk0noAfl8O7Eh5X98VHFrmJmQqWmF8mMozHQCOB9YxfTVcVXkUdvyZJGkmHNm8t5RrDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9f385be9d28fa34bd3be632d0b36ecdf40d43adaa89da968071f9c3304ee2fb","last_reissued_at":"2026-05-18T04:03:19.360728Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:03:19.360728Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Some Results on the Information Loss in Dynamical Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","nlin.SI"],"primary_cat":"cs.IT","authors_text":"Bernhard C. Geiger, Gernot Kubin","submitted_at":"2011-06-13T09:27:09Z","abstract_excerpt":"In this work we investigate the information loss in (nonlinear) dynamical input-output systems and provide some general results. In particular, we present an upper bound on the information loss rate, defined as the (non-negative) difference between the entropy rates of the jointly stationary stochastic processes at the input and output of the system.\n  We further introduce a family of systems with vanishing information loss rate. It is shown that not only linear filters belong to that family, but - under certain circumstances - also finite-precision implementations of the latter, which typical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2404","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1106.2404","created_at":"2026-05-18T04:03:19.360792+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.2404v1","created_at":"2026-05-18T04:03:19.360792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2404","created_at":"2026-05-18T04:03:19.360792+00:00"},{"alias_kind":"pith_short_12","alias_value":"7HZYLPU5FD5D","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_16","alias_value":"7HZYLPU5FD5DJPJ3","created_at":"2026-05-18T12:26:22.705136+00:00"},{"alias_kind":"pith_short_8","alias_value":"7HZYLPU5","created_at":"2026-05-18T12:26:22.705136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX","json":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX.json","graph_json":"https://pith.science/api/pith-number/7HZYLPU5FD5DJPJ34YZNBM3OZX/graph.json","events_json":"https://pith.science/api/pith-number/7HZYLPU5FD5DJPJ34YZNBM3OZX/events.json","paper":"https://pith.science/paper/7HZYLPU5"},"agent_actions":{"view_html":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX","download_json":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX.json","view_paper":"https://pith.science/paper/7HZYLPU5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.2404&json=true","fetch_graph":"https://pith.science/api/pith-number/7HZYLPU5FD5DJPJ34YZNBM3OZX/graph.json","fetch_events":"https://pith.science/api/pith-number/7HZYLPU5FD5DJPJ34YZNBM3OZX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX/action/storage_attestation","attest_author":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX/action/author_attestation","sign_citation":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX/action/citation_signature","submit_replication":"https://pith.science/pith/7HZYLPU5FD5DJPJ34YZNBM3OZX/action/replication_record"}},"created_at":"2026-05-18T04:03:19.360792+00:00","updated_at":"2026-05-18T04:03:19.360792+00:00"}