{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5PKTSUAMZYI6SECB66LYUDT2EG","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":"ae88dc2247932ebd51ed45703813b76f6a1e497729b6efdef53d7703c9e39b5e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-03T10:07:28Z","title_canon_sha256":"ae0e31d56d60d08a58bba5afcd8a45a1da2f60ee83076ebab5c6b0083859fca2"},"schema_version":"1.0","source":{"id":"1401.0615","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0615","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0615v1","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0615","created_at":"2026-05-18T02:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"5PKTSUAMZYI6","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5PKTSUAMZYI6SECB","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5PKTSUAM","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:fc6646721fe6b97d02bc786b39b848fa7c7563874c9b16a3d7c9e8d89affa0e4","target":"graph","created_at":"2026-05-18T02:43:52Z","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":"Spread codes and orbit codes are special families of constant dimension subspace codes. These codes have been well-studied for their error correction capability and transmission rate, but the question of how to encode messages has not been investigated. In this work we show how the message space can be chosen for a given code and how message en- and decoding can be done.","authors_text":"Anna-Lena Trautmann","cross_cats":["math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-03T10:07:28Z","title":"Message Encoding for Spread and Orbit Codes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0615","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:c5dd69ebb1c3f9d1a98601d21f89abc8bd14532bd5011ede7fd8b204b63845d9","target":"record","created_at":"2026-05-18T02:43:52Z","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":"ae88dc2247932ebd51ed45703813b76f6a1e497729b6efdef53d7703c9e39b5e","cross_cats_sorted":["math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2014-01-03T10:07:28Z","title_canon_sha256":"ae0e31d56d60d08a58bba5afcd8a45a1da2f60ee83076ebab5c6b0083859fca2"},"schema_version":"1.0","source":{"id":"1401.0615","kind":"arxiv","version":1}},"canonical_sha256":"ebd539500cce11e91041f7978a0e7a21938d2298777ea5f976436a090e493bc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebd539500cce11e91041f7978a0e7a21938d2298777ea5f976436a090e493bc4","first_computed_at":"2026-05-18T02:43:52.269218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:52.269218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IlJsB2beolDye02wb11N2wRyGo0kvpN+g2az9czegTvPPEwv0mOVMlDmqniIv1eGThFI/vE6cH/zNXenUPM9BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:52.269645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0615","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5dd69ebb1c3f9d1a98601d21f89abc8bd14532bd5011ede7fd8b204b63845d9","sha256:fc6646721fe6b97d02bc786b39b848fa7c7563874c9b16a3d7c9e8d89affa0e4"],"state_sha256":"a0283cc4f3fb675c02332c27004eeab8688c39e58f7dc641d26e38880e786b72"}