{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZUKVGN6RLDZMELXYU66HC4Z7N6","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":"c62e715c39b560e92a7ed8cbe412e8c6e535cf76f8f873b311b18e6faa3b5819","cross_cats_sorted":["cs.CV","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-15T08:19:49Z","title_canon_sha256":"a0df04bc2e3deec1fc827f1ce078f36ff372edc486b0378e4f1ca9702d661c60"},"schema_version":"1.0","source":{"id":"1604.04397","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04397","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04397v2","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04397","created_at":"2026-05-18T01:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"ZUKVGN6RLDZM","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZUKVGN6RLDZMELXY","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZUKVGN6R","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:e2c315aa18ba35f46b7f84d710aac5a1ebe6ce18f4d68c473f185bd9c41cfb79","target":"graph","created_at":"2026-05-18T01:04:37Z","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":"We present a new approach on low-rank matrix recovery (LRMR) based on Gabidulin Codes. Since most applications of LRMR deal with matrices over infinite fields, we use the recently introduced generalization of Gabidulin codes to fields of characterstic zero. We show that LRMR can be reduced to decoding of Gabidulin codes and discuss which field extensions can be used in the code construction.","authors_text":"Martin Bossert, Sven M\\\"uelich, Sven Puchinger","cross_cats":["cs.CV","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-15T08:19:49Z","title":"Low-Rank Matrix Recovery using Gabidulin Codes in Characteristic Zero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04397","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:d1516635d0228c28dc8f63b296247d89f0053c621d88cacc5dbdffea62bbca45","target":"record","created_at":"2026-05-18T01:04:37Z","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":"c62e715c39b560e92a7ed8cbe412e8c6e535cf76f8f873b311b18e6faa3b5819","cross_cats_sorted":["cs.CV","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-04-15T08:19:49Z","title_canon_sha256":"a0df04bc2e3deec1fc827f1ce078f36ff372edc486b0378e4f1ca9702d661c60"},"schema_version":"1.0","source":{"id":"1604.04397","kind":"arxiv","version":2}},"canonical_sha256":"cd155337d158f2c22ef8a7bc71733f6fac65d3d5c7c6371c55e1dda7fb231032","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd155337d158f2c22ef8a7bc71733f6fac65d3d5c7c6371c55e1dda7fb231032","first_computed_at":"2026-05-18T01:04:37.375075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:37.375075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4P3ADPU7FE7z9b/vMpU5/v2AL+kNx30wYNO0PvDFAInIz9aJeH5wPL0ZfWqE5PQRk2Wv50hXGWq8VzbuD76eCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:37.375608Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04397","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1516635d0228c28dc8f63b296247d89f0053c621d88cacc5dbdffea62bbca45","sha256:e2c315aa18ba35f46b7f84d710aac5a1ebe6ce18f4d68c473f185bd9c41cfb79"],"state_sha256":"88965f2dd218c09a7dc27fb1c38956dc4efbd12cdf454f2a02123beb4e3f3822"}