{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UTXAXX7OA7DLQ5O2B2OHN54AYP","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":"2e291a845b026f8beffe5960f5b6e83689155fe95a04ef03cb640574a970b5cd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-19T06:06:46Z","title_canon_sha256":"b2a6d7d15a50694741ccbc1446b574a750f9faa4da0318213224f7dd56d34e88"},"schema_version":"1.0","source":{"id":"1504.04799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04799","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04799v1","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04799","created_at":"2026-05-18T02:18:24Z"},{"alias_kind":"pith_short_12","alias_value":"UTXAXX7OA7DL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UTXAXX7OA7DLQ5O2","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UTXAXX7O","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:7d0d8f1c4451bf4a2fb368cf866d984ec392b938954b5b794e16945d0faa120d","target":"graph","created_at":"2026-05-18T02:18:24Z","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":"Approximate message passing (AMP) and its variants, developed based on loopy belief propagation, are attractive for estimating a vector x from a noisy version of z = Ax, which arises in many applications. For a large A with i. i. d. elements, AMP can be characterized by the state evolution and exhibits fast convergence. However, it has been shown that, AMP mayeasily diverge for a generic A. In this work, we develop a new variant of AMP based on a unitary transformation of the original model (hence the variant is called UT-AMP), where the unitary matrix is available for any matrix A, e.g., the ","authors_text":"Jiangtao Xi, Qinghua Guo","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-19T06:06:46Z","title":"Approximate Message Passing with Unitary Transformation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04799","kind":"arxiv","version":1},"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:fe73d8ea0ae4e13bcecf230608a498903c5f8820f5fb7d933c612175c542a5c2","target":"record","created_at":"2026-05-18T02:18:24Z","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":"2e291a845b026f8beffe5960f5b6e83689155fe95a04ef03cb640574a970b5cd","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2015-04-19T06:06:46Z","title_canon_sha256":"b2a6d7d15a50694741ccbc1446b574a750f9faa4da0318213224f7dd56d34e88"},"schema_version":"1.0","source":{"id":"1504.04799","kind":"arxiv","version":1}},"canonical_sha256":"a4ee0bdfee07c6b875da0e9c76f780c3e2daf92f422ab568803e5f371741c34f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4ee0bdfee07c6b875da0e9c76f780c3e2daf92f422ab568803e5f371741c34f","first_computed_at":"2026-05-18T02:18:24.731340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:24.731340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0/Ktt9RUHQtRZmSbVoja7UtcwnN9S1xyiawCALegPvvs1zxr0qJmqrDm4wtpzvQs0eREO10tK/p3iUqZjlBCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:24.733614Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe73d8ea0ae4e13bcecf230608a498903c5f8820f5fb7d933c612175c542a5c2","sha256:7d0d8f1c4451bf4a2fb368cf866d984ec392b938954b5b794e16945d0faa120d"],"state_sha256":"4a29ac5cc02174119d1fba94d85ec5e47d0d838792246b223dc6078be47f8a5c"}