{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:DIC2IR6OPWU7CWNJJWCY3GVEM3","short_pith_number":"pith:DIC2IR6O","canonical_record":{"source":{"id":"1507.07766","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-07-28T13:43:39Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3a4cb4528ab62934586f69c3169dd6eae342c0ad3c1dc61eb79300d1a30a05a4","abstract_canon_sha256":"65dd88fae968c94915aa1f01022ad309dd531b16e2f135b3378d23eb63263c20"},"schema_version":"1.0"},"canonical_sha256":"1a05a447ce7da9f159a94d858d9aa466cf9a775eb38acae525ec519a4dae305c","source":{"kind":"arxiv","id":"1507.07766","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07766","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07766v2","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07766","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"DIC2IR6OPWU7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DIC2IR6OPWU7CWNJ","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DIC2IR6O","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:DIC2IR6OPWU7CWNJJWCY3GVEM3","target":"record","payload":{"canonical_record":{"source":{"id":"1507.07766","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-07-28T13:43:39Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"3a4cb4528ab62934586f69c3169dd6eae342c0ad3c1dc61eb79300d1a30a05a4","abstract_canon_sha256":"65dd88fae968c94915aa1f01022ad309dd531b16e2f135b3378d23eb63263c20"},"schema_version":"1.0"},"canonical_sha256":"1a05a447ce7da9f159a94d858d9aa466cf9a775eb38acae525ec519a4dae305c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:52.701591Z","signature_b64":"1w9RIhEyC/56Qp0XyiOdsWgS8H9zPdBT2fQOo/0EdMxWrskPqhD/nvzFIouzqtb1JdYZZ4DtIeOdIWsj+JjYDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a05a447ce7da9f159a94d858d9aa466cf9a775eb38acae525ec519a4dae305c","last_reissued_at":"2026-05-18T01:15:52.701108Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:52.701108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.07766","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AyrzGHL5RuZ1pLU1n6/5E28T/cT+3gjt/OAv5UCOHpsS0M0d9+JJ0EfSPTBmvfUzD9cG+F21O1V+Q2F7lJD5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:05:06.858686Z"},"content_sha256":"075dced390dc4a794d01ba9c5d78de5ab8f78c5e264841d55795f407eeb23c3b","schema_version":"1.0","event_id":"sha256:075dced390dc4a794d01ba9c5d78de5ab8f78c5e264841d55795f407eeb23c3b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:DIC2IR6OPWU7CWNJJWCY3GVEM3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bayes-Optimal Joint Channel-and-Data Estimation for Massive MIMO with Low-Precision ADCs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Chang-Jen Wang, Chao-Kai Wen, Kai-Kit Wong, Pangan Ting, Shi Jin","submitted_at":"2015-07-28T13:43:39Z","abstract_excerpt":"This paper considers a multiple-input multiple-output (MIMO) receiver with very low-precision analog-to-digital convertors (ADCs) with the goal of developing massive MIMO antenna systems that require minimal cost and power. Previous studies demonstrated that the training duration should be {\\em relatively long} to obtain acceptable channel state information. To address this requirement, we adopt a joint channel-and-data (JCD) estimation method based on Bayes-optimal inference. This method yields minimal mean square errors with respect to the channels and payload data. We develop a Bayes-optima"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07766","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x2eet/cM5NlyvvWHmrgkHqU7CS2qfa0y+UxUPN+6wbQ1QMBKcdEDLluyx0tHLDuzcZfCZtnsfO93ndB7+gt4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:05:06.859039Z"},"content_sha256":"5732959e484f3587ff3248154d01b30a4c5193e5f05f92859d69ec6608cde0af","schema_version":"1.0","event_id":"sha256:5732959e484f3587ff3248154d01b30a4c5193e5f05f92859d69ec6608cde0af"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3/bundle.json","state_url":"https://pith.science/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T05:05:06Z","links":{"resolver":"https://pith.science/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3","bundle":"https://pith.science/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3/bundle.json","state":"https://pith.science/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DIC2IR6OPWU7CWNJJWCY3GVEM3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DIC2IR6OPWU7CWNJJWCY3GVEM3","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":"65dd88fae968c94915aa1f01022ad309dd531b16e2f135b3378d23eb63263c20","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-07-28T13:43:39Z","title_canon_sha256":"3a4cb4528ab62934586f69c3169dd6eae342c0ad3c1dc61eb79300d1a30a05a4"},"schema_version":"1.0","source":{"id":"1507.07766","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.07766","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"1507.07766v2","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.07766","created_at":"2026-05-18T01:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"DIC2IR6OPWU7","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DIC2IR6OPWU7CWNJ","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DIC2IR6O","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:5732959e484f3587ff3248154d01b30a4c5193e5f05f92859d69ec6608cde0af","target":"graph","created_at":"2026-05-18T01:15:52Z","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":"This paper considers a multiple-input multiple-output (MIMO) receiver with very low-precision analog-to-digital convertors (ADCs) with the goal of developing massive MIMO antenna systems that require minimal cost and power. Previous studies demonstrated that the training duration should be {\\em relatively long} to obtain acceptable channel state information. To address this requirement, we adopt a joint channel-and-data (JCD) estimation method based on Bayes-optimal inference. This method yields minimal mean square errors with respect to the channels and payload data. We develop a Bayes-optima","authors_text":"Chang-Jen Wang, Chao-Kai Wen, Kai-Kit Wong, Pangan Ting, Shi Jin","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-07-28T13:43:39Z","title":"Bayes-Optimal Joint Channel-and-Data Estimation for Massive MIMO with Low-Precision ADCs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.07766","kind":"arxiv","version":2},"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":"sha256:075dced390dc4a794d01ba9c5d78de5ab8f78c5e264841d55795f407eeb23c3b","target":"record","created_at":"2026-05-18T01:15:52Z","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":"65dd88fae968c94915aa1f01022ad309dd531b16e2f135b3378d23eb63263c20","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-07-28T13:43:39Z","title_canon_sha256":"3a4cb4528ab62934586f69c3169dd6eae342c0ad3c1dc61eb79300d1a30a05a4"},"schema_version":"1.0","source":{"id":"1507.07766","kind":"arxiv","version":2}},"canonical_sha256":"1a05a447ce7da9f159a94d858d9aa466cf9a775eb38acae525ec519a4dae305c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a05a447ce7da9f159a94d858d9aa466cf9a775eb38acae525ec519a4dae305c","first_computed_at":"2026-05-18T01:15:52.701108Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:52.701108Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1w9RIhEyC/56Qp0XyiOdsWgS8H9zPdBT2fQOo/0EdMxWrskPqhD/nvzFIouzqtb1JdYZZ4DtIeOdIWsj+JjYDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:52.701591Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.07766","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:075dced390dc4a794d01ba9c5d78de5ab8f78c5e264841d55795f407eeb23c3b","sha256:5732959e484f3587ff3248154d01b30a4c5193e5f05f92859d69ec6608cde0af"],"state_sha256":"86d5449917024e86fddefaa7eeedbcfe3c341c18f6860832568bec370dc1a891"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0JwWuUooGB1NUjlejantWyLTaPhjs4D767BooCaSqzvYp/mP5JYn22+oji5sRda8nDAYdHfvmhzBEex8jkLtCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:05:06.861520Z","bundle_sha256":"ccb9f9d17ea957e3845f22d0167331dd656f1ecf8fe64a77e339bf964253721d"}}