{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V2A332XUX7AS5J2FUJVLM6SXCM","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":"9fe0fe4db42278cc0735b2b90cafae82dd697aadc7d33723f71bcd865800d7f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-07-24T04:29:17Z","title_canon_sha256":"9613f1f22cf3ec754f95382b0d8a12983d0cd7b906c8b0fd297d46d9db03b8f1"},"schema_version":"1.0","source":{"id":"1507.06983","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06983","created_at":"2026-05-18T01:36:17Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06983v1","created_at":"2026-05-18T01:36:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06983","created_at":"2026-05-18T01:36:17Z"},{"alias_kind":"pith_short_12","alias_value":"V2A332XUX7AS","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2A332XUX7AS5J2F","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2A332XU","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:929c30f32512922dc2960ed18bea552cf3c8ceefe61710bf7aff22ab6699178e","target":"graph","created_at":"2026-05-18T01:36:17Z","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":"Recently, it has been proved that if we have a field extension, then it has linear matching property if and only if L is purely transcendental or is an extension of prime degree. In this note we provide a counterexample for this result.","authors_text":"Mohsen Aliabadi, Saieed Akbari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-07-24T04:29:17Z","title":"Erratum to: Matching Subspaces in a Field Extension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06983","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:c5a8f8a0f39337e608d9c85d5de7790e34b788fed10e2a7b8e6febd7ca1dcc44","target":"record","created_at":"2026-05-18T01:36:17Z","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":"9fe0fe4db42278cc0735b2b90cafae82dd697aadc7d33723f71bcd865800d7f1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-07-24T04:29:17Z","title_canon_sha256":"9613f1f22cf3ec754f95382b0d8a12983d0cd7b906c8b0fd297d46d9db03b8f1"},"schema_version":"1.0","source":{"id":"1507.06983","kind":"arxiv","version":1}},"canonical_sha256":"ae81bdeaf4bfc12ea745a26ab67a57131983d6da29eb996f80225f00b3712053","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae81bdeaf4bfc12ea745a26ab67a57131983d6da29eb996f80225f00b3712053","first_computed_at":"2026-05-18T01:36:17.612633Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:17.612633Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"idfPHmPE0w3TswHNqe/nDskfSqvzMnyvb8QypY/g39UqSplgtRDSK/aKep4XmSWj6aEIU1yhnkMZ8CWggdcOAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:17.613168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.06983","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5a8f8a0f39337e608d9c85d5de7790e34b788fed10e2a7b8e6febd7ca1dcc44","sha256:929c30f32512922dc2960ed18bea552cf3c8ceefe61710bf7aff22ab6699178e"],"state_sha256":"58b19b7d9c0309e154d7f5e2971b3e6ab2d67ed0839ce3b3a7b987fba4e2c31d"}