{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3TCZOTTMP43BFAWBXQ2LWJOZMN","short_pith_number":"pith:3TCZOTTM","canonical_record":{"source":{"id":"1712.02426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-06T22:20:05Z","cross_cats_sorted":["math.IT","math.OC"],"title_canon_sha256":"f42a5f813f501fa3c28e7b2684c799dcc92036e7eb15056ae832358917049114","abstract_canon_sha256":"fd46f7e9238841fa4c94a3cb14051ce474559cc04c908a76a0fd7bdd4abeb660"},"schema_version":"1.0"},"canonical_sha256":"dcc5974e6c7f361282c1bc34bb25d963550569bf33c300f1651c2bbb3589d95e","source":{"kind":"arxiv","id":"1712.02426","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02426","created_at":"2026-05-18T00:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02426v2","created_at":"2026-05-18T00:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02426","created_at":"2026-05-18T00:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"3TCZOTTMP43B","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3TCZOTTMP43BFAWB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3TCZOTTM","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3TCZOTTMP43BFAWBXQ2LWJOZMN","target":"record","payload":{"canonical_record":{"source":{"id":"1712.02426","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-06T22:20:05Z","cross_cats_sorted":["math.IT","math.OC"],"title_canon_sha256":"f42a5f813f501fa3c28e7b2684c799dcc92036e7eb15056ae832358917049114","abstract_canon_sha256":"fd46f7e9238841fa4c94a3cb14051ce474559cc04c908a76a0fd7bdd4abeb660"},"schema_version":"1.0"},"canonical_sha256":"dcc5974e6c7f361282c1bc34bb25d963550569bf33c300f1651c2bbb3589d95e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:03:09.106509Z","signature_b64":"lcHZhvvWO9N0IsKOkpM2mkfDDet2NNkYfGNQxgyyp+DSPpLcoK04sLeeyxyPZY27p0YJ0nfCUS/lShqyBlQCCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcc5974e6c7f361282c1bc34bb25d963550569bf33c300f1651c2bbb3589d95e","last_reissued_at":"2026-05-18T00:03:09.105253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:03:09.105253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.02426","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":"2026-05-18T00:03:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gK0LY/hZZ+HNuIfz8fvOZXprByciFSSI5DEaKlsxTWUmBKiv0WbeoUYTGlJvMAv0ddr3Uwr6fc0XLvT+PtniBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T22:18:10.025060Z"},"content_sha256":"50314597f20d7e812377d78f73d3df578855079cd5a2b5502aaa7a55e7c8cc9a","schema_version":"1.0","event_id":"sha256:50314597f20d7e812377d78f73d3df578855079cd5a2b5502aaa7a55e7c8cc9a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3TCZOTTMP43BFAWBXQ2LWJOZMN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compressive Phase Retrieval via Reweighted Amplitude Flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","math.OC"],"primary_cat":"cs.IT","authors_text":"Gang Wang, Georgios B. Giannakis, Jie Chen, Liang Zhang","submitted_at":"2017-12-06T22:20:05Z","abstract_excerpt":"The problem of reconstructing a sparse signal vector from magnitude-only measurements (a.k.a., compressive phase retrieval), emerges naturally in diverse applications, but it is NP-hard in general. Building on recent advances in nonconvex optimization, this paper puts forth a new algorithm that is termed compressive reweighted amplitude flow and abbreviated as CRAF, for compressive phase retrieval. Specifically, CRAF operates in two stages. The first stage seeks a sparse initial guess via a new spectral procedure. In the second stage, CRAF implements a few hard thresholding based iterations us"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02426","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":"2026-05-18T00:03:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kRE83A6neY10rVPhw5NionGKWqZ5/MbC+xIuyoLCy0UpZzSLUH7qnsPO0F7UzRqTDub754uUPdGbjvSvMdv1AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T22:18:10.025440Z"},"content_sha256":"da5c7609eefb428eb0aba17fb973ad377f5be767c4ba222fc04563ec46575662","schema_version":"1.0","event_id":"sha256:da5c7609eefb428eb0aba17fb973ad377f5be767c4ba222fc04563ec46575662"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN/bundle.json","state_url":"https://pith.science/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN/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":"2026-05-19T22:18:10Z","links":{"resolver":"https://pith.science/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN","bundle":"https://pith.science/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN/bundle.json","state":"https://pith.science/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3TCZOTTMP43BFAWBXQ2LWJOZMN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3TCZOTTMP43BFAWBXQ2LWJOZMN","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":"fd46f7e9238841fa4c94a3cb14051ce474559cc04c908a76a0fd7bdd4abeb660","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-06T22:20:05Z","title_canon_sha256":"f42a5f813f501fa3c28e7b2684c799dcc92036e7eb15056ae832358917049114"},"schema_version":"1.0","source":{"id":"1712.02426","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.02426","created_at":"2026-05-18T00:03:09Z"},{"alias_kind":"arxiv_version","alias_value":"1712.02426v2","created_at":"2026-05-18T00:03:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.02426","created_at":"2026-05-18T00:03:09Z"},{"alias_kind":"pith_short_12","alias_value":"3TCZOTTMP43B","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3TCZOTTMP43BFAWB","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3TCZOTTM","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:da5c7609eefb428eb0aba17fb973ad377f5be767c4ba222fc04563ec46575662","target":"graph","created_at":"2026-05-18T00:03:09Z","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 reconstructing a sparse signal vector from magnitude-only measurements (a.k.a., compressive phase retrieval), emerges naturally in diverse applications, but it is NP-hard in general. Building on recent advances in nonconvex optimization, this paper puts forth a new algorithm that is termed compressive reweighted amplitude flow and abbreviated as CRAF, for compressive phase retrieval. Specifically, CRAF operates in two stages. The first stage seeks a sparse initial guess via a new spectral procedure. In the second stage, CRAF implements a few hard thresholding based iterations us","authors_text":"Gang Wang, Georgios B. Giannakis, Jie Chen, Liang Zhang","cross_cats":["math.IT","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-06T22:20:05Z","title":"Compressive Phase Retrieval via Reweighted Amplitude Flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.02426","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":"sha256:50314597f20d7e812377d78f73d3df578855079cd5a2b5502aaa7a55e7c8cc9a","target":"record","created_at":"2026-05-18T00:03:09Z","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":"fd46f7e9238841fa4c94a3cb14051ce474559cc04c908a76a0fd7bdd4abeb660","cross_cats_sorted":["math.IT","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2017-12-06T22:20:05Z","title_canon_sha256":"f42a5f813f501fa3c28e7b2684c799dcc92036e7eb15056ae832358917049114"},"schema_version":"1.0","source":{"id":"1712.02426","kind":"arxiv","version":2}},"canonical_sha256":"dcc5974e6c7f361282c1bc34bb25d963550569bf33c300f1651c2bbb3589d95e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcc5974e6c7f361282c1bc34bb25d963550569bf33c300f1651c2bbb3589d95e","first_computed_at":"2026-05-18T00:03:09.105253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:09.105253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lcHZhvvWO9N0IsKOkpM2mkfDDet2NNkYfGNQxgyyp+DSPpLcoK04sLeeyxyPZY27p0YJ0nfCUS/lShqyBlQCCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:09.106509Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.02426","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50314597f20d7e812377d78f73d3df578855079cd5a2b5502aaa7a55e7c8cc9a","sha256:da5c7609eefb428eb0aba17fb973ad377f5be767c4ba222fc04563ec46575662"],"state_sha256":"9fe41f220355cd19a3f5c197026f815c028cb4cc2bcfc50f2ba6a65209c497aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KIZ+lqJshBfZTt6ROwhukm3/lyp4ycoIVQRWOGHtuz76dJ0JztgEAbSNRN3pUv78/4U1qJxOQ0xObrLd+rEUCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T22:18:10.027476Z","bundle_sha256":"8f6fca04afecb375abd2bca50a0adc34745ff7827a2ca78c67fcbacb2f4714bf"}}