{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:RY3XHQIW74QSTAE5BGX4XU4T75","short_pith_number":"pith:RY3XHQIW","schema_version":"1.0","canonical_sha256":"8e3773c116ff2129809d09afcbd393ff7e507698c079a52c14ca2a125e0dac87","source":{"kind":"arxiv","id":"1704.02569","version":3},"attestation_state":"computed","paper":{"title":"On Continuous-Time Gaussian Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Guangyue Han, Xianming Liu","submitted_at":"2017-04-09T07:23:11Z","abstract_excerpt":"A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the Shannon-Nyquist sampling theorem, where the original continuous-time channel is converted to an equivalent discrete-time channel, to which a great variety of established tools and methodology can be applied. However, one of the key issues of this scheme is that continuous-time feedback and memory cannot be incorporated into the channel model. It turns out that this issue can be circumvented by considering the Brownian"},"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":"1704.02569","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-04-09T07:23:11Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6f96f4f1fb653f596ab0cc6ee432f40eef146a8c5761f82bf87744d93ea05d26","abstract_canon_sha256":"833accb6dbea1baa8202af6c61697e43abbe5d368a0a2aab9b6743c8726fef44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:00.390249Z","signature_b64":"JWrBHD0L81zMtUahpMhakH++XCLIrCG4pC/3yCMu6V+92yf5lVBSQ9m6iSdpfy1qTLpyOb95GR5jtOGSI2N7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e3773c116ff2129809d09afcbd393ff7e507698c079a52c14ca2a125e0dac87","last_reissued_at":"2026-05-18T00:03:00.389385Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:00.389385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Continuous-Time Gaussian Channels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Guangyue Han, Xianming Liu","submitted_at":"2017-04-09T07:23:11Z","abstract_excerpt":"A continuous-time white Gaussian channel can be formulated using a white Gaussian noise, and a conventional way for examining such a channel is the sampling approach based on the Shannon-Nyquist sampling theorem, where the original continuous-time channel is converted to an equivalent discrete-time channel, to which a great variety of established tools and methodology can be applied. However, one of the key issues of this scheme is that continuous-time feedback and memory cannot be incorporated into the channel model. It turns out that this issue can be circumvented by considering the Brownian"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02569","kind":"arxiv","version":3},"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":"1704.02569","created_at":"2026-05-18T00:03:00.389519+00:00"},{"alias_kind":"arxiv_version","alias_value":"1704.02569v3","created_at":"2026-05-18T00:03:00.389519+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02569","created_at":"2026-05-18T00:03:00.389519+00:00"},{"alias_kind":"pith_short_12","alias_value":"RY3XHQIW74QS","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"RY3XHQIW74QSTAE5","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"RY3XHQIW","created_at":"2026-05-18T12:31:43.269735+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/RY3XHQIW74QSTAE5BGX4XU4T75","json":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75.json","graph_json":"https://pith.science/api/pith-number/RY3XHQIW74QSTAE5BGX4XU4T75/graph.json","events_json":"https://pith.science/api/pith-number/RY3XHQIW74QSTAE5BGX4XU4T75/events.json","paper":"https://pith.science/paper/RY3XHQIW"},"agent_actions":{"view_html":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75","download_json":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75.json","view_paper":"https://pith.science/paper/RY3XHQIW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1704.02569&json=true","fetch_graph":"https://pith.science/api/pith-number/RY3XHQIW74QSTAE5BGX4XU4T75/graph.json","fetch_events":"https://pith.science/api/pith-number/RY3XHQIW74QSTAE5BGX4XU4T75/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75/action/storage_attestation","attest_author":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75/action/author_attestation","sign_citation":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75/action/citation_signature","submit_replication":"https://pith.science/pith/RY3XHQIW74QSTAE5BGX4XU4T75/action/replication_record"}},"created_at":"2026-05-18T00:03:00.389519+00:00","updated_at":"2026-05-18T00:03:00.389519+00:00"}