{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VCQFA6RRERFVOLIB4IR4G4QOVC","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":"386b8dacbc69193cfb6232e61c2cb23ec6f597a8401e287d315a437487f297f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-11-04T21:13:15Z","title_canon_sha256":"a8db3171028b0e08d00a5997fdcc471746692a4e75c78bf12df8b373dca7c3a8"},"schema_version":"1.0","source":{"id":"1311.0896","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.0896","created_at":"2026-05-18T03:07:56Z"},{"alias_kind":"arxiv_version","alias_value":"1311.0896v1","created_at":"2026-05-18T03:07:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.0896","created_at":"2026-05-18T03:07:56Z"},{"alias_kind":"pith_short_12","alias_value":"VCQFA6RRERFV","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VCQFA6RRERFVOLIB","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VCQFA6RR","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:145029161e6c0f6f65c29b6d6b72966e29dd8200976f0577460f9f1da9b3efb5","target":"graph","created_at":"2026-05-18T03:07:56Z","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 study the notion of strongly badly approximable matrices in the field of power series over a field $K$. We prove a transference principle in this setting, and show that such matrices exist when $K$ is infinite.","authors_text":"Jeffrey D. Vaaler, Thai Hoang Le","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-11-04T21:13:15Z","title":"Strongly badly approximable matrices in fields of power series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.0896","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:f4e30f9a56f649b8ab74a938631158f8c19322f6271b83c870b021439c78670f","target":"record","created_at":"2026-05-18T03:07:56Z","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":"386b8dacbc69193cfb6232e61c2cb23ec6f597a8401e287d315a437487f297f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-11-04T21:13:15Z","title_canon_sha256":"a8db3171028b0e08d00a5997fdcc471746692a4e75c78bf12df8b373dca7c3a8"},"schema_version":"1.0","source":{"id":"1311.0896","kind":"arxiv","version":1}},"canonical_sha256":"a8a0507a31244b572d01e223c3720ea89ca5ad0fef36201a736ae55d0ad84983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8a0507a31244b572d01e223c3720ea89ca5ad0fef36201a736ae55d0ad84983","first_computed_at":"2026-05-18T03:07:56.169488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:56.169488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2amRukSTwemzPiVmciXqfm8wmbB2nLiWxwyXngOI5FFP3KwGEs2Bt8tJBzCneAYePk3wZ2lCKekMfEAPFJ5xAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:56.170026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.0896","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4e30f9a56f649b8ab74a938631158f8c19322f6271b83c870b021439c78670f","sha256:145029161e6c0f6f65c29b6d6b72966e29dd8200976f0577460f9f1da9b3efb5"],"state_sha256":"900d795f524ae26b22e2e9c47d07df0327af9965c3ef120004258174e81f318e"}