{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:37C545HDOA375NJHPCEDVSJO32","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":"5ee52fe3669ddce96adc6c0020acf8b6820713a67a5968b01a34995d6168e095","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-23T16:05:51Z","title_canon_sha256":"166e083af139b5dcffcfbde27ee773ebb2fd1a669c40f6eeda3cb758f673cca1"},"schema_version":"1.0","source":{"id":"1507.06545","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.06545","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"arxiv_version","alias_value":"1507.06545v2","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.06545","created_at":"2026-05-18T01:15:06Z"},{"alias_kind":"pith_short_12","alias_value":"37C545HDOA37","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"37C545HDOA375NJH","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"37C545HD","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:d542b379ed4e84ad0d999034eb80ffecc949bd5fb394fb50e4c5c3ca91dbf739","target":"graph","created_at":"2026-05-18T01:15:06Z","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":"This is an introduction to antilinear operators. In following E.P.Wigner the terminus \"antilinear\" is used as it is standard in Physics. Mathematicians prefer to say \"conjugate linear\". By restricting to finite-dimensional complex-linear spaces, the exposition becomes elementary in the functional analytic sense. Nevertheless it shows the amazing differences to the linear case.\n  Basics of antilinearity is explained in sections 2, 3,4, 7 and in subsection 1.2: Spectrum, canonical Hermitian form, antilinear rank one and two operators, the Hermitian adjoint, classification of antilinear normal op","authors_text":"Armin Uhlmann","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-23T16:05:51Z","title":"Anti- (Conjugate) Linearity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.06545","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":"sha256:38247be6bec0a952393fd1e14e21e7f4fd0cf9fedc29933f4ba74c62e17ba06d","target":"record","created_at":"2026-05-18T01:15:06Z","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":"5ee52fe3669ddce96adc6c0020acf8b6820713a67a5968b01a34995d6168e095","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-07-23T16:05:51Z","title_canon_sha256":"166e083af139b5dcffcfbde27ee773ebb2fd1a669c40f6eeda3cb758f673cca1"},"schema_version":"1.0","source":{"id":"1507.06545","kind":"arxiv","version":2}},"canonical_sha256":"dfc5de74e37037feb52778883ac92edeb37516b2f904940e2005df76aa23f9a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dfc5de74e37037feb52778883ac92edeb37516b2f904940e2005df76aa23f9a8","first_computed_at":"2026-05-18T01:15:06.801119Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:06.801119Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SAOMdsYbxiKfevoKFSyFer0LnqwAJF5qSWqkBcqhLrdWkv00DZU0yxX+ehYez0eLehtmrwb/QbswSeRIqWwjAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:06.801731Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.06545","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38247be6bec0a952393fd1e14e21e7f4fd0cf9fedc29933f4ba74c62e17ba06d","sha256:d542b379ed4e84ad0d999034eb80ffecc949bd5fb394fb50e4c5c3ca91dbf739"],"state_sha256":"3aa411583f6dbaccbdb9a6ce7d8331d518a9563ec21eacca76f113132a25ad36"}