{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:E4SPEBDY66DUY3RIYACCHWZCV5","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":"ed0ced0f8f589cc6d4cc8f63c1886630b8124d6728b67a8024c3d5d1acfaaab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-07T07:09:00Z","title_canon_sha256":"935d391101dceede996fb4f8ae5a88eb9b90a2239f91cd2f23181c998175e7a0"},"schema_version":"1.0","source":{"id":"1205.1298","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.1298","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"arxiv_version","alias_value":"1205.1298v2","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1298","created_at":"2026-05-18T01:57:37Z"},{"alias_kind":"pith_short_12","alias_value":"E4SPEBDY66DU","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"E4SPEBDY66DUY3RI","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"E4SPEBDY","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:3e1758159b235637889470a401ae6716669666f40f372e05705c3f65ae020749","target":"graph","created_at":"2026-05-18T01:57:37Z","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":"With time-dependent Lindblad operators, an open system may have a time-dependent decoherence-free subspace (t-DFS). In this paper, we define the t-DFS and present a necessary and sufficient condition for the t-DFS. Two examples are presented to illustrate the t-DFS, showing that this t-DFS is not trivial, when the dimension of the t-DFS varies.","authors_text":"L. C. Wang, S. L. Wu, X. X. Yi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-07T07:09:00Z","title":"Time-dependent Decoherence-Free Subspace"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1298","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":"sha256:351951846f156184f04110957615aa07cd4c521caee4d0257d3f75b44b9b8e3b","target":"record","created_at":"2026-05-18T01:57:37Z","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":"ed0ced0f8f589cc6d4cc8f63c1886630b8124d6728b67a8024c3d5d1acfaaab2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2012-05-07T07:09:00Z","title_canon_sha256":"935d391101dceede996fb4f8ae5a88eb9b90a2239f91cd2f23181c998175e7a0"},"schema_version":"1.0","source":{"id":"1205.1298","kind":"arxiv","version":2}},"canonical_sha256":"2724f20478f7874c6e28c00423db22af605d27d370cbdf42660e6e826a182c74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2724f20478f7874c6e28c00423db22af605d27d370cbdf42660e6e826a182c74","first_computed_at":"2026-05-18T01:57:37.521733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:37.521733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0rR0TJuazDBxu8o36OBMLQ4NIJbHnmRYe5WEMtXS84gsd+yWeYfrSYKY52akBbMqaohkmzkRw4kqfceYtbdRCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:37.522398Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.1298","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:351951846f156184f04110957615aa07cd4c521caee4d0257d3f75b44b9b8e3b","sha256:3e1758159b235637889470a401ae6716669666f40f372e05705c3f65ae020749"],"state_sha256":"383beb2fee5399a7b648cfe9d4b83a0c3889a641f19e56f02f38f146cddf6857"}