{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GBECUTJZLVYCQPOPUUMMA7BTHB","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":"21b16b28b6a5cb74135f8dde26d25f3b1f33118c8b3c6f5e39591bea65b13d77","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-14T20:44:03Z","title_canon_sha256":"8a2cd10aef0cccbc14fcb4eb636cfafac69f172940cb9a6855594b483da25839"},"schema_version":"1.0","source":{"id":"1710.05234","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.05234","created_at":"2026-05-18T00:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"1710.05234v1","created_at":"2026-05-18T00:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05234","created_at":"2026-05-18T00:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"GBECUTJZLVYC","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"GBECUTJZLVYCQPOP","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"GBECUTJZ","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:0c371e45b3542e45838d407931517a16a12729a648323d323441528ae8fef5a2","target":"graph","created_at":"2026-05-18T00:32:53Z","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":"A recently proposed convex formulation of the phase retrieval problem estimates the unknown signal by solving a simple linear program. This new scheme, known as PhaseMax, is computationally efficient compared to standard convex relaxation methods based on lifting techniques. In this paper, we present an exact performance analysis of PhaseMax under Gaussian measurements in the large system limit. In contrast to previously known performance bounds in the literature, our results are asymptotically exact and they also reveal a sharp phase transition phenomenon. Furthermore, the geometrical insight","authors_text":"Christos Thrampoulidis, Oussama Dhifallah, Yue M. Lu","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-14T20:44:03Z","title":"Phase Retrieval via Linear Programming: Fundamental Limits and Algorithmic Improvements"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05234","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:fdea5ecf0a31f4df6e99df966123a47ed2976078bb190efdd28a5869b22b24df","target":"record","created_at":"2026-05-18T00:32:53Z","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":"21b16b28b6a5cb74135f8dde26d25f3b1f33118c8b3c6f5e39591bea65b13d77","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-10-14T20:44:03Z","title_canon_sha256":"8a2cd10aef0cccbc14fcb4eb636cfafac69f172940cb9a6855594b483da25839"},"schema_version":"1.0","source":{"id":"1710.05234","kind":"arxiv","version":1}},"canonical_sha256":"30482a4d395d70283dcfa518c07c33387ec6cb995b1283cc936d3f0d14296103","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30482a4d395d70283dcfa518c07c33387ec6cb995b1283cc936d3f0d14296103","first_computed_at":"2026-05-18T00:32:53.962249Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:53.962249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0EDZx0vFBvTj0xpmLyziY2LICdCl3wVmloglyiITXqDaE+sjn19ytuH7lVfwH7gpYqbWTNsigX4oA6iNsEe3Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:53.963153Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.05234","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdea5ecf0a31f4df6e99df966123a47ed2976078bb190efdd28a5869b22b24df","sha256:0c371e45b3542e45838d407931517a16a12729a648323d323441528ae8fef5a2"],"state_sha256":"6402d977b69e0f7baa831628300135f29d38b3ddce2542bb555da12f2985e5c2"}