{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:FJQAWWJYIDSXB4BMKHXXAH5GBT","short_pith_number":"pith:FJQAWWJY","schema_version":"1.0","canonical_sha256":"2a600b593840e570f02c51ef701fa60cec41b1bdbcd9d25f756c516a101a10a7","source":{"kind":"arxiv","id":"1611.00270","version":1},"attestation_state":"computed","paper":{"title":"When is Noisy State Information at the Encoder as Useless as No Information or as Good as Noise-Free State?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jian-Kang Zhang, Jun Chen, Rui Xu, Tsachy Weissman","submitted_at":"2016-11-01T15:24:00Z","abstract_excerpt":"For any binary-input channel with perfect state information at the decoder, if the mutual information between the noisy state observation at the encoder and the true channel state is below a positive threshold determined solely by the state distribution, then the capacity is the same as that with no encoder side information. A complementary phenomenon is revealed for the generalized probing capacity. Extensions beyond binary-input channels are developed."},"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":"1611.00270","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-11-01T15:24:00Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"9254959026d75187bf0f305476d014365e6a57c6df2034a0bd4502eb8f40ba46","abstract_canon_sha256":"cdc4e6bcc3edb01a8adc0d0a9607fa0f0004e1842c31ca68c97ecd3239f1686e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:41.143979Z","signature_b64":"TAxcSbMTSJp7hZD4EzPGb4AmUweR6E49S65mj8Zgtvq/uMa9tqVyYpkcq6dA4cF8cH4FYgcilMLkbu4YXbQfAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a600b593840e570f02c51ef701fa60cec41b1bdbcd9d25f756c516a101a10a7","last_reissued_at":"2026-05-18T01:00:41.143528Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:41.143528Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"When is Noisy State Information at the Encoder as Useless as No Information or as Good as Noise-Free State?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Jian-Kang Zhang, Jun Chen, Rui Xu, Tsachy Weissman","submitted_at":"2016-11-01T15:24:00Z","abstract_excerpt":"For any binary-input channel with perfect state information at the decoder, if the mutual information between the noisy state observation at the encoder and the true channel state is below a positive threshold determined solely by the state distribution, then the capacity is the same as that with no encoder side information. A complementary phenomenon is revealed for the generalized probing capacity. Extensions beyond binary-input channels are developed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00270","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":"1611.00270","created_at":"2026-05-18T01:00:41.143607+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.00270v1","created_at":"2026-05-18T01:00:41.143607+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00270","created_at":"2026-05-18T01:00:41.143607+00:00"},{"alias_kind":"pith_short_12","alias_value":"FJQAWWJYIDSX","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_16","alias_value":"FJQAWWJYIDSXB4BM","created_at":"2026-05-18T12:30:15.759754+00:00"},{"alias_kind":"pith_short_8","alias_value":"FJQAWWJY","created_at":"2026-05-18T12:30:15.759754+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/FJQAWWJYIDSXB4BMKHXXAH5GBT","json":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT.json","graph_json":"https://pith.science/api/pith-number/FJQAWWJYIDSXB4BMKHXXAH5GBT/graph.json","events_json":"https://pith.science/api/pith-number/FJQAWWJYIDSXB4BMKHXXAH5GBT/events.json","paper":"https://pith.science/paper/FJQAWWJY"},"agent_actions":{"view_html":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT","download_json":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT.json","view_paper":"https://pith.science/paper/FJQAWWJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.00270&json=true","fetch_graph":"https://pith.science/api/pith-number/FJQAWWJYIDSXB4BMKHXXAH5GBT/graph.json","fetch_events":"https://pith.science/api/pith-number/FJQAWWJYIDSXB4BMKHXXAH5GBT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT/action/storage_attestation","attest_author":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT/action/author_attestation","sign_citation":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT/action/citation_signature","submit_replication":"https://pith.science/pith/FJQAWWJYIDSXB4BMKHXXAH5GBT/action/replication_record"}},"created_at":"2026-05-18T01:00:41.143607+00:00","updated_at":"2026-05-18T01:00:41.143607+00:00"}