{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:KYFBVGNROP4SMAQM3GX5EQZ62T","short_pith_number":"pith:KYFBVGNR","canonical_record":{"source":{"id":"1705.09590","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-26T14:12:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ab2c8cba8ad4bd2c2647952a2dc0d34836cc7c47145047597ef92e12bc26bed1","abstract_canon_sha256":"173a13d43888e1dbb0ad5596829cc8635fb530a228f1f4c722cf6acd55262d43"},"schema_version":"1.0"},"canonical_sha256":"560a1a99b173f926020cd9afd2433ed4e279c4a310e3b012bbdd14de304f3a94","source":{"kind":"arxiv","id":"1705.09590","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09590","created_at":"2026-05-18T00:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09590v3","created_at":"2026-05-18T00:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09590","created_at":"2026-05-18T00:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"KYFBVGNROP4S","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KYFBVGNROP4SMAQM","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KYFBVGNR","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:KYFBVGNROP4SMAQM3GX5EQZ62T","target":"record","payload":{"canonical_record":{"source":{"id":"1705.09590","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-26T14:12:47Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"ab2c8cba8ad4bd2c2647952a2dc0d34836cc7c47145047597ef92e12bc26bed1","abstract_canon_sha256":"173a13d43888e1dbb0ad5596829cc8635fb530a228f1f4c722cf6acd55262d43"},"schema_version":"1.0"},"canonical_sha256":"560a1a99b173f926020cd9afd2433ed4e279c4a310e3b012bbdd14de304f3a94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:12.666015Z","signature_b64":"H+tWTjL0VpV0o651cYHkoFl4vGWHXoozQQmNIszZAXnbUkgjEZqHWAhRZAwSZqSb+vnH+lqM6FqmEh4czJTiDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"560a1a99b173f926020cd9afd2433ed4e279c4a310e3b012bbdd14de304f3a94","last_reissued_at":"2026-05-18T00:31:12.665348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:12.665348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.09590","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"golmphk+2n8Pwv7lNQbfai1bN1d9KLyvMCk81GoZ8o/n8/k5vcWTFWGBvrWwSpWp14MMqprANfej12WXqpCEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:08:27.427191Z"},"content_sha256":"c8f96c46819edc35f79d84d39a909280f08a2d3ff5e15d0c687893e027c87ac2","schema_version":"1.0","event_id":"sha256:c8f96c46819edc35f79d84d39a909280f08a2d3ff5e15d0c687893e027c87ac2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:KYFBVGNROP4SMAQM3GX5EQZ62T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fourier Phase Retrieval: Uniqueness and Algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Robert Beinert, Tamir Bendory, Yonina C. Eldar","submitted_at":"2017-05-26T14:12:47Z","abstract_excerpt":"The problem of recovering a signal from its phaseless Fourier transform measurements, called Fourier phase retrieval, arises in many applications in engineering and science. Fourier phase retrieval poses fundamental theoretical and algorithmic challenges. In general, there is no unique mapping between a one-dimensional signal and its Fourier magnitude and therefore the problem is ill-posed. Additionally, while almost all multidimensional signals are uniquely mapped to their Fourier magnitude, the performance of existing algorithms is generally not well-understood. In this chapter we survey met"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09590","kind":"arxiv","version":3},"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":"2026-05-18T00:31:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iFWPeLdy0jt5Ox578qcPyZcFXlJSx/WsNdvHbRvlfSLH5gaY9DDjBVm/it2L/jHin5F3JED7zkd418O3RxSnDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T19:08:27.427873Z"},"content_sha256":"8984e59a7b5a83e20e6633cf7296f84dc4814b8901153fa78a9975d96ec8a9c2","schema_version":"1.0","event_id":"sha256:8984e59a7b5a83e20e6633cf7296f84dc4814b8901153fa78a9975d96ec8a9c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KYFBVGNROP4SMAQM3GX5EQZ62T/bundle.json","state_url":"https://pith.science/pith/KYFBVGNROP4SMAQM3GX5EQZ62T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KYFBVGNROP4SMAQM3GX5EQZ62T/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":"2026-05-29T19:08:27Z","links":{"resolver":"https://pith.science/pith/KYFBVGNROP4SMAQM3GX5EQZ62T","bundle":"https://pith.science/pith/KYFBVGNROP4SMAQM3GX5EQZ62T/bundle.json","state":"https://pith.science/pith/KYFBVGNROP4SMAQM3GX5EQZ62T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KYFBVGNROP4SMAQM3GX5EQZ62T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KYFBVGNROP4SMAQM3GX5EQZ62T","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":"173a13d43888e1dbb0ad5596829cc8635fb530a228f1f4c722cf6acd55262d43","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-26T14:12:47Z","title_canon_sha256":"ab2c8cba8ad4bd2c2647952a2dc0d34836cc7c47145047597ef92e12bc26bed1"},"schema_version":"1.0","source":{"id":"1705.09590","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09590","created_at":"2026-05-18T00:31:12Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09590v3","created_at":"2026-05-18T00:31:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09590","created_at":"2026-05-18T00:31:12Z"},{"alias_kind":"pith_short_12","alias_value":"KYFBVGNROP4S","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"KYFBVGNROP4SMAQM","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"KYFBVGNR","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:8984e59a7b5a83e20e6633cf7296f84dc4814b8901153fa78a9975d96ec8a9c2","target":"graph","created_at":"2026-05-18T00:31:12Z","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":"The problem of recovering a signal from its phaseless Fourier transform measurements, called Fourier phase retrieval, arises in many applications in engineering and science. Fourier phase retrieval poses fundamental theoretical and algorithmic challenges. In general, there is no unique mapping between a one-dimensional signal and its Fourier magnitude and therefore the problem is ill-posed. Additionally, while almost all multidimensional signals are uniquely mapped to their Fourier magnitude, the performance of existing algorithms is generally not well-understood. In this chapter we survey met","authors_text":"Robert Beinert, Tamir Bendory, Yonina C. Eldar","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-26T14:12:47Z","title":"Fourier Phase Retrieval: Uniqueness and Algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09590","kind":"arxiv","version":3},"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:c8f96c46819edc35f79d84d39a909280f08a2d3ff5e15d0c687893e027c87ac2","target":"record","created_at":"2026-05-18T00:31:12Z","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":"173a13d43888e1dbb0ad5596829cc8635fb530a228f1f4c722cf6acd55262d43","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-05-26T14:12:47Z","title_canon_sha256":"ab2c8cba8ad4bd2c2647952a2dc0d34836cc7c47145047597ef92e12bc26bed1"},"schema_version":"1.0","source":{"id":"1705.09590","kind":"arxiv","version":3}},"canonical_sha256":"560a1a99b173f926020cd9afd2433ed4e279c4a310e3b012bbdd14de304f3a94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"560a1a99b173f926020cd9afd2433ed4e279c4a310e3b012bbdd14de304f3a94","first_computed_at":"2026-05-18T00:31:12.665348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:12.665348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H+tWTjL0VpV0o651cYHkoFl4vGWHXoozQQmNIszZAXnbUkgjEZqHWAhRZAwSZqSb+vnH+lqM6FqmEh4czJTiDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:12.666015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09590","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c8f96c46819edc35f79d84d39a909280f08a2d3ff5e15d0c687893e027c87ac2","sha256:8984e59a7b5a83e20e6633cf7296f84dc4814b8901153fa78a9975d96ec8a9c2"],"state_sha256":"503dad74f51609ee35aa43b807a9774d08cb3b52cab86398d4db2fedde9d5240"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"goFrQ+xuianah7V9ttMpDpMM3i32fsbDUYKz3URuqKhZ/RBdd1r+w7YDfnXMjCEyVWguotA3dmkBzYepxdgSBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T19:08:27.433900Z","bundle_sha256":"93a32a35db217ec530acc5677eb9455aa25ca422b43482d18e08e33d0dba1142"}}