{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:N4ABJ2AVY3DM6L2XSMOV4DFARL","short_pith_number":"pith:N4ABJ2AV","canonical_record":{"source":{"id":"1402.5803","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-24T11:55:04Z","cross_cats_sorted":["cs.LG","math.IT"],"title_canon_sha256":"49e68cb856dd93e7555b4ff3a059e087bcf8693eb9112d5a1db155bf7842d9b8","abstract_canon_sha256":"cd1dd5ab2935475eeb1fe43496076950886a0f40ca8683152123f580975ea140"},"schema_version":"1.0"},"canonical_sha256":"6f0014e815c6c6cf2f57931d5e0ca08adbb882d8dd59a51e13cfe99a77a8450f","source":{"kind":"arxiv","id":"1402.5803","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5803","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5803v1","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5803","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"N4ABJ2AVY3DM","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N4ABJ2AVY3DM6L2X","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N4ABJ2AV","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:N4ABJ2AVY3DM6L2XSMOV4DFARL","target":"record","payload":{"canonical_record":{"source":{"id":"1402.5803","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-24T11:55:04Z","cross_cats_sorted":["cs.LG","math.IT"],"title_canon_sha256":"49e68cb856dd93e7555b4ff3a059e087bcf8693eb9112d5a1db155bf7842d9b8","abstract_canon_sha256":"cd1dd5ab2935475eeb1fe43496076950886a0f40ca8683152123f580975ea140"},"schema_version":"1.0"},"canonical_sha256":"6f0014e815c6c6cf2f57931d5e0ca08adbb882d8dd59a51e13cfe99a77a8450f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:13.592783Z","signature_b64":"Am7CMHQTMrZGVsYFE8XmUQT+9a6lDGQSalGitLoGy0C/5LtfxMqicPegNPvwBG6Fl2oAU2DszcZ6tFsBi3KrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6f0014e815c6c6cf2f57931d5e0ca08adbb882d8dd59a51e13cfe99a77a8450f","last_reissued_at":"2026-05-18T02:58:13.591932Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:13.591932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.5803","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":"2026-05-18T02:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pFI3nNajZkulQdnMKO8vLlz0AmXBBwLpQg2ri9CtwWgW3pp8/Y6NCUqkLR+kT5YPwDbzkMP3pTOgipn4jseNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:37:29.637399Z"},"content_sha256":"2e8ba8c5e9fd3357793bacaad2940bc308ce75dac03464f20babc6b34f529ec5","schema_version":"1.0","event_id":"sha256:2e8ba8c5e9fd3357793bacaad2940bc308ce75dac03464f20babc6b34f529ec5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:N4ABJ2AVY3DM6L2XSMOV4DFARL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sparse phase retrieval via group-sparse optimization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","math.IT"],"primary_cat":"cs.IT","authors_text":"Fabien Lauer (LORIA), Henrik Ohlsson","submitted_at":"2014-02-24T11:55:04Z","abstract_excerpt":"This paper deals with sparse phase retrieval, i.e., the problem of estimating a vector from quadratic measurements under the assumption that few components are nonzero. In particular, we consider the problem of finding the sparsest vector consistent with the measurements and reformulate it as a group-sparse optimization problem with linear constraints. Then, we analyze the convex relaxation of the latter based on the minimization of a block l1-norm and show various exact recovery and stability results in the real and complex cases. Invariance to circular shifts and reflections are also discuss"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5803","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":""},"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":"2026-05-18T02:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MvwsG76rBpE8pvtOmZnkFjZXYedV3930iZVyDLir4VhLBaFnbz51l0/VtqljXriN/ksRB2jIMAL6DJrwswuvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T14:37:29.638058Z"},"content_sha256":"5ad36ffc0a662ea7ec55fff3c4217a2e05bd879ce153a0b84208c376bdc53f08","schema_version":"1.0","event_id":"sha256:5ad36ffc0a662ea7ec55fff3c4217a2e05bd879ce153a0b84208c376bdc53f08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL/bundle.json","state_url":"https://pith.science/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL/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":"2026-05-27T14:37:29Z","links":{"resolver":"https://pith.science/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL","bundle":"https://pith.science/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL/bundle.json","state":"https://pith.science/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N4ABJ2AVY3DM6L2XSMOV4DFARL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:N4ABJ2AVY3DM6L2XSMOV4DFARL","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":"cd1dd5ab2935475eeb1fe43496076950886a0f40ca8683152123f580975ea140","cross_cats_sorted":["cs.LG","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-24T11:55:04Z","title_canon_sha256":"49e68cb856dd93e7555b4ff3a059e087bcf8693eb9112d5a1db155bf7842d9b8"},"schema_version":"1.0","source":{"id":"1402.5803","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.5803","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1402.5803v1","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.5803","created_at":"2026-05-18T02:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"N4ABJ2AVY3DM","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"N4ABJ2AVY3DM6L2X","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"N4ABJ2AV","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:5ad36ffc0a662ea7ec55fff3c4217a2e05bd879ce153a0b84208c376bdc53f08","target":"graph","created_at":"2026-05-18T02:58:13Z","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":"This paper deals with sparse phase retrieval, i.e., the problem of estimating a vector from quadratic measurements under the assumption that few components are nonzero. In particular, we consider the problem of finding the sparsest vector consistent with the measurements and reformulate it as a group-sparse optimization problem with linear constraints. Then, we analyze the convex relaxation of the latter based on the minimization of a block l1-norm and show various exact recovery and stability results in the real and complex cases. Invariance to circular shifts and reflections are also discuss","authors_text":"Fabien Lauer (LORIA), Henrik Ohlsson","cross_cats":["cs.LG","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-24T11:55:04Z","title":"Sparse phase retrieval via group-sparse optimization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5803","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":"sha256:2e8ba8c5e9fd3357793bacaad2940bc308ce75dac03464f20babc6b34f529ec5","target":"record","created_at":"2026-05-18T02:58:13Z","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":"cd1dd5ab2935475eeb1fe43496076950886a0f40ca8683152123f580975ea140","cross_cats_sorted":["cs.LG","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-02-24T11:55:04Z","title_canon_sha256":"49e68cb856dd93e7555b4ff3a059e087bcf8693eb9112d5a1db155bf7842d9b8"},"schema_version":"1.0","source":{"id":"1402.5803","kind":"arxiv","version":1}},"canonical_sha256":"6f0014e815c6c6cf2f57931d5e0ca08adbb882d8dd59a51e13cfe99a77a8450f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f0014e815c6c6cf2f57931d5e0ca08adbb882d8dd59a51e13cfe99a77a8450f","first_computed_at":"2026-05-18T02:58:13.591932Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:13.591932Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Am7CMHQTMrZGVsYFE8XmUQT+9a6lDGQSalGitLoGy0C/5LtfxMqicPegNPvwBG6Fl2oAU2DszcZ6tFsBi3KrCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:13.592783Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.5803","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e8ba8c5e9fd3357793bacaad2940bc308ce75dac03464f20babc6b34f529ec5","sha256:5ad36ffc0a662ea7ec55fff3c4217a2e05bd879ce153a0b84208c376bdc53f08"],"state_sha256":"612a679f2019e10457cd9d586a105a9e912472aca8a2efff1d55a136b3e15812"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LarlfE0hGlInV4A/4tvazwfvDwcWsvYjto5myBm9LO+jNLO0iUBf2caznWJ5CgJI7WSEQMm3GinU+6xs1oN5Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T14:37:29.641778Z","bundle_sha256":"6a05d30285d75a7dc2d162a128836cbbee44509e35383414cf49736371d9ebcf"}}