{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:LITXEL3OLQWETNFUUUNO2GVCGG","short_pith_number":"pith:LITXEL3O","schema_version":"1.0","canonical_sha256":"5a27722f6e5c2c49b4b4a51aed1aa2318ef9c515e056f5e39ff236ffba05433d","source":{"kind":"arxiv","id":"chao-dyn/9901028","version":1},"attestation_state":"computed","paper":{"title":"Analog to Digital Conversion in Physical Measurements","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"chao-dyn","authors_text":"C. Grebogi, K.Zyczkowski, T. Kapitaniak, U. Feudel","submitted_at":"1999-01-26T12:34:51Z","abstract_excerpt":"There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such converting devices can be understood using concepts from symbolic dynamics. Our approach is based on a nonlinear one-to-one mapping between the analog input and the digital output of the device. We analyze the Bernoulli shift and the tent map which are realized in specific analog/digital converters. Furthermore, we discuss the sources of errors that are inevitable in physical realizations of such systems and suggest m"},"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":"chao-dyn/9901028","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"chao-dyn","submitted_at":"1999-01-26T12:34:51Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"da278bced62ed15947f12089c30576f39fcdc97daa3135ae32f7279d44be8175","abstract_canon_sha256":"b56b30bc39a0fb78e99a0975776271148c361dacb64379649eee31f2b51c4442"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:11.455358Z","signature_b64":"Y4SCTBTX6MDbc2UMAb8TRtH0zLpgbWeMWl0VyVS5AJBlyrBXnOOW8l1O6fMY7TbfCfEWhN8nq1E9wq+ybzO5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a27722f6e5c2c49b4b4a51aed1aa2318ef9c515e056f5e39ff236ffba05433d","last_reissued_at":"2026-05-18T01:40:11.454543Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:11.454543Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Analog to Digital Conversion in Physical Measurements","license":"","headline":"","cross_cats":["nlin.CD"],"primary_cat":"chao-dyn","authors_text":"C. Grebogi, K.Zyczkowski, T. Kapitaniak, U. Feudel","submitted_at":"1999-01-26T12:34:51Z","abstract_excerpt":"There exist measuring devices where an analog input is converted into a digital output. Such converters can have a nonlinear internal dynamics. We show how measurements with such converting devices can be understood using concepts from symbolic dynamics. Our approach is based on a nonlinear one-to-one mapping between the analog input and the digital output of the device. We analyze the Bernoulli shift and the tent map which are realized in specific analog/digital converters. Furthermore, we discuss the sources of errors that are inevitable in physical realizations of such systems and suggest m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"chao-dyn/9901028","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":"chao-dyn/9901028","created_at":"2026-05-18T01:40:11.454664+00:00"},{"alias_kind":"arxiv_version","alias_value":"chao-dyn/9901028v1","created_at":"2026-05-18T01:40:11.454664+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.chao-dyn/9901028","created_at":"2026-05-18T01:40:11.454664+00:00"},{"alias_kind":"pith_short_12","alias_value":"LITXEL3OLQWE","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_16","alias_value":"LITXEL3OLQWETNFU","created_at":"2026-05-18T12:25:49.631198+00:00"},{"alias_kind":"pith_short_8","alias_value":"LITXEL3O","created_at":"2026-05-18T12:25:49.631198+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/LITXEL3OLQWETNFUUUNO2GVCGG","json":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG.json","graph_json":"https://pith.science/api/pith-number/LITXEL3OLQWETNFUUUNO2GVCGG/graph.json","events_json":"https://pith.science/api/pith-number/LITXEL3OLQWETNFUUUNO2GVCGG/events.json","paper":"https://pith.science/paper/LITXEL3O"},"agent_actions":{"view_html":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG","download_json":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG.json","view_paper":"https://pith.science/paper/LITXEL3O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=chao-dyn/9901028&json=true","fetch_graph":"https://pith.science/api/pith-number/LITXEL3OLQWETNFUUUNO2GVCGG/graph.json","fetch_events":"https://pith.science/api/pith-number/LITXEL3OLQWETNFUUUNO2GVCGG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG/action/storage_attestation","attest_author":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG/action/author_attestation","sign_citation":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG/action/citation_signature","submit_replication":"https://pith.science/pith/LITXEL3OLQWETNFUUUNO2GVCGG/action/replication_record"}},"created_at":"2026-05-18T01:40:11.454664+00:00","updated_at":"2026-05-18T01:40:11.454664+00:00"}