{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:DJ6CSE6QYA2IPPJBENTLUB4VJO","short_pith_number":"pith:DJ6CSE6Q","canonical_record":{"source":{"id":"2210.05571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-10-11T16:04:11Z","cross_cats_sorted":["cs.LG","eess.SP"],"title_canon_sha256":"d15fbdaeb20243eb790dcc3f15744a9582c5ef0da8b54ef6964eabdcfb3bed4c","abstract_canon_sha256":"afb6e127e0d7ae76e984b1102c4f8b19d1e821b7c2f0ba319f3503f66f8dacc9"},"schema_version":"1.0"},"canonical_sha256":"1a7c2913d0c03487bd212366ba07954b9883f0d86b5b491eb6389e46154af0bd","source":{"kind":"arxiv","id":"2210.05571","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.05571","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"2210.05571v1","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.05571","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"DJ6CSE6QYA2I","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"pith_short_16","alias_value":"DJ6CSE6QYA2IPPJB","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"pith_short_8","alias_value":"DJ6CSE6Q","created_at":"2026-07-05T05:05:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:DJ6CSE6QYA2IPPJBENTLUB4VJO","target":"record","payload":{"canonical_record":{"source":{"id":"2210.05571","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-10-11T16:04:11Z","cross_cats_sorted":["cs.LG","eess.SP"],"title_canon_sha256":"d15fbdaeb20243eb790dcc3f15744a9582c5ef0da8b54ef6964eabdcfb3bed4c","abstract_canon_sha256":"afb6e127e0d7ae76e984b1102c4f8b19d1e821b7c2f0ba319f3503f66f8dacc9"},"schema_version":"1.0"},"canonical_sha256":"1a7c2913d0c03487bd212366ba07954b9883f0d86b5b491eb6389e46154af0bd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:05:18.075889Z","signature_b64":"wNKj9ZgcM4VB65zuOzUtU2DHD9zwTuY1UJqE7e01BQ+2pgH7Fv4vm2zy6xLoPjWuZqpu66pmP3ARIiuSAihgDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a7c2913d0c03487bd212366ba07954b9883f0d86b5b491eb6389e46154af0bd","last_reissued_at":"2026-07-05T05:05:18.075437Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:05:18.075437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.05571","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"brQ9z1iZP4eFBKSZRmUvt3J0Uk5hngNCGO6xQibnVDTWavtvCxAx4PsN/I/5EabKEhcdZCfw2rbFH+QgCZREAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:37:27.523595Z"},"content_sha256":"826b9de88e86b559cf3d1432217d756c827bf69ceaab7cc5c0cffda40da20978","schema_version":"1.0","event_id":"sha256:826b9de88e86b559cf3d1432217d756c827bf69ceaab7cc5c0cffda40da20978"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:DJ6CSE6QYA2IPPJBENTLUB4VJO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Misspecified Phase Retrieval with Generative Priors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","eess.SP"],"primary_cat":"stat.ML","authors_text":"Jiulong Liu, Xinshao Wang, Zhaoqiang Liu","submitted_at":"2022-10-11T16:04:11Z","abstract_excerpt":"In this paper, we study phase retrieval under model misspecification and generative priors. In particular, we aim to estimate an $n$-dimensional signal $\\mathbf{x}$ from $m$ i.i.d.~realizations of the single index model $y = f(\\mathbf{a}^T\\mathbf{x})$, where $f$ is an unknown and possibly random nonlinear link function and $\\mathbf{a} \\in \\mathbb{R}^n$ is a standard Gaussian vector. We make the assumption $\\mathrm{Cov}[y,(\\mathbf{a}^T\\mathbf{x})^2] \\ne 0$, which corresponds to the misspecified phase retrieval problem. In addition, the underlying signal $\\mathbf{x}$ is assumed to lie in the ran"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.05571","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2210.05571/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:05:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErPgfHpPvrYz/MT+zT0Zg1KdC5ApQ4ASTX22+veExs37VJPl/mrn54hV3/9ovolKq9jYAQ2Fu5ZWck4dtykJDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T15:37:27.523996Z"},"content_sha256":"abcfd312e536ee7effaabf14fd3a2e124378c7bfa3142659706046f83430ecc1","schema_version":"1.0","event_id":"sha256:abcfd312e536ee7effaabf14fd3a2e124378c7bfa3142659706046f83430ecc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO/bundle.json","state_url":"https://pith.science/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO/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":"2026-07-05T15:37:27Z","links":{"resolver":"https://pith.science/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO","bundle":"https://pith.science/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO/bundle.json","state":"https://pith.science/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJ6CSE6QYA2IPPJBENTLUB4VJO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:DJ6CSE6QYA2IPPJBENTLUB4VJO","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":"afb6e127e0d7ae76e984b1102c4f8b19d1e821b7c2f0ba319f3503f66f8dacc9","cross_cats_sorted":["cs.LG","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-10-11T16:04:11Z","title_canon_sha256":"d15fbdaeb20243eb790dcc3f15744a9582c5ef0da8b54ef6964eabdcfb3bed4c"},"schema_version":"1.0","source":{"id":"2210.05571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.05571","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"arxiv_version","alias_value":"2210.05571v1","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.05571","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"pith_short_12","alias_value":"DJ6CSE6QYA2I","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"pith_short_16","alias_value":"DJ6CSE6QYA2IPPJB","created_at":"2026-07-05T05:05:18Z"},{"alias_kind":"pith_short_8","alias_value":"DJ6CSE6Q","created_at":"2026-07-05T05:05:18Z"}],"graph_snapshots":[{"event_id":"sha256:abcfd312e536ee7effaabf14fd3a2e124378c7bfa3142659706046f83430ecc1","target":"graph","created_at":"2026-07-05T05:05:18Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2210.05571/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study phase retrieval under model misspecification and generative priors. In particular, we aim to estimate an $n$-dimensional signal $\\mathbf{x}$ from $m$ i.i.d.~realizations of the single index model $y = f(\\mathbf{a}^T\\mathbf{x})$, where $f$ is an unknown and possibly random nonlinear link function and $\\mathbf{a} \\in \\mathbb{R}^n$ is a standard Gaussian vector. We make the assumption $\\mathrm{Cov}[y,(\\mathbf{a}^T\\mathbf{x})^2] \\ne 0$, which corresponds to the misspecified phase retrieval problem. In addition, the underlying signal $\\mathbf{x}$ is assumed to lie in the ran","authors_text":"Jiulong Liu, Xinshao Wang, Zhaoqiang Liu","cross_cats":["cs.LG","eess.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-10-11T16:04:11Z","title":"Misspecified Phase Retrieval with Generative Priors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.05571","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":"sha256:826b9de88e86b559cf3d1432217d756c827bf69ceaab7cc5c0cffda40da20978","target":"record","created_at":"2026-07-05T05:05:18Z","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":"afb6e127e0d7ae76e984b1102c4f8b19d1e821b7c2f0ba319f3503f66f8dacc9","cross_cats_sorted":["cs.LG","eess.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2022-10-11T16:04:11Z","title_canon_sha256":"d15fbdaeb20243eb790dcc3f15744a9582c5ef0da8b54ef6964eabdcfb3bed4c"},"schema_version":"1.0","source":{"id":"2210.05571","kind":"arxiv","version":1}},"canonical_sha256":"1a7c2913d0c03487bd212366ba07954b9883f0d86b5b491eb6389e46154af0bd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a7c2913d0c03487bd212366ba07954b9883f0d86b5b491eb6389e46154af0bd","first_computed_at":"2026-07-05T05:05:18.075437Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:05:18.075437Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wNKj9ZgcM4VB65zuOzUtU2DHD9zwTuY1UJqE7e01BQ+2pgH7Fv4vm2zy6xLoPjWuZqpu66pmP3ARIiuSAihgDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:05:18.075889Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.05571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:826b9de88e86b559cf3d1432217d756c827bf69ceaab7cc5c0cffda40da20978","sha256:abcfd312e536ee7effaabf14fd3a2e124378c7bfa3142659706046f83430ecc1"],"state_sha256":"454d1533ceaf58af3a7f142d7638c487f8a89c22bcabe153f4e9bb235bc2fbf6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MbfteFzzqk6wm/pWyIUWJdkZnVwwLa0TuYFF0a7c0Z1mfeKpseuPGjdh1l3JC/Tzp9lzmtF2c6xRq6m+a/RsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T15:37:27.526985Z","bundle_sha256":"310f532b3c8c86b4cafebe230b74d0dffb78aba99418216b5c2e5378ca78e56e"}}