{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:A6YQMQPWRF6PQIVXGYWHI6OW4P","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":"611461a3f5c71d5cb9138089fe20d227207940271f1b59837bc86d7af9085f4f","cross_cats_sorted":["cs.IT","eess.IV","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2023-10-20T04:24:42Z","title_canon_sha256":"4984062ba240e0ebb8cbb95515f45e00a5859086d8b90ec6689bca6956cb6434"},"schema_version":"1.0","source":{"id":"2310.17660","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.17660","created_at":"2026-07-05T08:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"2310.17660v2","created_at":"2026-07-05T08:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.17660","created_at":"2026-07-05T08:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"A6YQMQPWRF6P","created_at":"2026-07-05T08:10:57Z"},{"alias_kind":"pith_short_16","alias_value":"A6YQMQPWRF6PQIVX","created_at":"2026-07-05T08:10:57Z"},{"alias_kind":"pith_short_8","alias_value":"A6YQMQPW","created_at":"2026-07-05T08:10:57Z"}],"graph_snapshots":[{"event_id":"sha256:b0f75142e8f000bc4322fc757fdc7f835e037de81acf59c8795c250054340cd9","target":"graph","created_at":"2026-07-05T08:10:57Z","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/2310.17660/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hypercomplex signal processing (HSP) provides state-of-the-art tools to handle multidimensional signals by harnessing intrinsic correlation of the signal dimensions through Clifford algebra. Recently, the hypercomplex representation of the phase retrieval (PR) problem, wherein a complex-valued signal is estimated through its intensity-only projections, has attracted significant interest. The hypercomplex PR (HPR) arises in many optical imaging and computational sensing applications that usually comprise quaternion and octonion-valued signals. Analogous to the traditional PR, measurements in HP","authors_text":"Brian M. Sadler, Henry Arguello, Kumar Vijay Mishra, Roman Jacome","cross_cats":["cs.IT","eess.IV","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2023-10-20T04:24:42Z","title":"An Invitation to Hypercomplex Phase Retrieval: Theory and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.17660","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":"sha256:4ee1a3f06a51b5a87b9465b560f18b99376d2ddec04b73601979bd956c2e501c","target":"record","created_at":"2026-07-05T08:10:57Z","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":"611461a3f5c71d5cb9138089fe20d227207940271f1b59837bc86d7af9085f4f","cross_cats_sorted":["cs.IT","eess.IV","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"eess.SP","submitted_at":"2023-10-20T04:24:42Z","title_canon_sha256":"4984062ba240e0ebb8cbb95515f45e00a5859086d8b90ec6689bca6956cb6434"},"schema_version":"1.0","source":{"id":"2310.17660","kind":"arxiv","version":2}},"canonical_sha256":"07b10641f6897cf822b7362c7479d6e3c1ede6da5a920c86c8ff82352fdb3ffb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07b10641f6897cf822b7362c7479d6e3c1ede6da5a920c86c8ff82352fdb3ffb","first_computed_at":"2026-07-05T08:10:57.826913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:10:57.826913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wdq5QeQ91u6X5fx2RaODN2UPwzS08rjrMT2z3l8GCtNntTaknL8pgVRng5jJwznTOcf8NRO0McFz0JSNcu55AA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:10:57.827339Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.17660","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ee1a3f06a51b5a87b9465b560f18b99376d2ddec04b73601979bd956c2e501c","sha256:b0f75142e8f000bc4322fc757fdc7f835e037de81acf59c8795c250054340cd9"],"state_sha256":"112f410fc3e8b4fce25c30b748f6e3f85371bde25908a7989da44d92884707c7"}