{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ASFWEHKM737IRTLOSLZYGLLGQZ","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":"2f5d2e9e0d85aab3cbaaf185c26e6d74c04e92c752f254011b438e6f9f89bbce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-01-23T12:42:22Z","title_canon_sha256":"3247b9cc18e288c0ec4e7d36995868c5e9a398ad5dc8cc3672dff5d4d8cfad94"},"schema_version":"1.0","source":{"id":"1901.07852","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07852","created_at":"2026-05-17T23:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07852v3","created_at":"2026-05-17T23:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07852","created_at":"2026-05-17T23:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"ASFWEHKM737I","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"ASFWEHKM737IRTLO","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"ASFWEHKM","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:99c1a53c85ddfa94798368f1a0b1da6edd1171bf256c0176dde3ad434970cd30","target":"graph","created_at":"2026-05-17T23:40:17Z","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":"A recent line of research termed unlabeled sensing and shuffled linear regression has been exploring under great generality the recovery of signals from subsampled and permuted measurements; a challenging problem in diverse fields of data science and machine learning. In this paper we introduce an abstraction of this problem which we call homomorphic sensing. Given a linear subspace and a finite set of linear transformations we develop an algebraic theory which establishes conditions guaranteeing that points in the subspace are uniquely determined from their homomorphic image under some transf","authors_text":"Liangzu Peng, Manolis C. Tsakiris","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-01-23T12:42:22Z","title":"Homomorphic Sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07852","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:c088e6752ee2e5853f6873be41b31712c85e6057f34d9c2f529bfd6edcfce6ae","target":"record","created_at":"2026-05-17T23:40:17Z","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":"2f5d2e9e0d85aab3cbaaf185c26e6d74c04e92c752f254011b438e6f9f89bbce","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2019-01-23T12:42:22Z","title_canon_sha256":"3247b9cc18e288c0ec4e7d36995868c5e9a398ad5dc8cc3672dff5d4d8cfad94"},"schema_version":"1.0","source":{"id":"1901.07852","kind":"arxiv","version":3}},"canonical_sha256":"048b621d4cfefe88cd6e92f3832d668640bf664834961b7024188e4aeea621da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"048b621d4cfefe88cd6e92f3832d668640bf664834961b7024188e4aeea621da","first_computed_at":"2026-05-17T23:40:17.579850Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:17.579850Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rCwjnuIEAUrB3WtfLy6jzCFPucEOyAqgH++RK7HQKnuQ5/MioERnxDQBRsxRnUcLRo1OpfzS3qvix+KmsbMaCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:17.580697Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07852","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c088e6752ee2e5853f6873be41b31712c85e6057f34d9c2f529bfd6edcfce6ae","sha256:99c1a53c85ddfa94798368f1a0b1da6edd1171bf256c0176dde3ad434970cd30"],"state_sha256":"56062843f6fb6969325e207c26244517e474e093d8fd985924c19bf6464373a9"}