{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LDJVEHKQU2N7RBH37VH5ICPQDJ","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":"51d7761fce9a4f9ca5806d0c758361450b5973107becb4a094d23e70e1f6d767","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-24T08:26:39Z","title_canon_sha256":"c63cf2b94c2cd1963bd56ed5575a85f0ad9293e6469eb03a87f418c660b9e3a3"},"schema_version":"1.0","source":{"id":"1404.6052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.6052","created_at":"2026-05-18T02:53:18Z"},{"alias_kind":"arxiv_version","alias_value":"1404.6052v1","created_at":"2026-05-18T02:53:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.6052","created_at":"2026-05-18T02:53:18Z"},{"alias_kind":"pith_short_12","alias_value":"LDJVEHKQU2N7","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LDJVEHKQU2N7RBH3","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LDJVEHKQ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:8eae5f59686215676af485db56ee72c3b4ed3502e7e4fecc81ea7a97c6161ccf","target":"graph","created_at":"2026-05-18T02:53:18Z","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":"After a short introduction to anti-linearity, bounds for the number of orthogonal (skew) conjugations are proved. They are saturated if the dimension of the Hilbert space is a power of two. For the other dimensions this is an open problem.","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":"2014-04-24T08:26:39Z","title":"The number of orthogonal conjugations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.6052","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":"sha256:977c28246cf07b2e709df88d08f1275fb3eb0efead0d79740d16c9c5e3ca1512","target":"record","created_at":"2026-05-18T02:53:18Z","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":"51d7761fce9a4f9ca5806d0c758361450b5973107becb4a094d23e70e1f6d767","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-24T08:26:39Z","title_canon_sha256":"c63cf2b94c2cd1963bd56ed5575a85f0ad9293e6469eb03a87f418c660b9e3a3"},"schema_version":"1.0","source":{"id":"1404.6052","kind":"arxiv","version":1}},"canonical_sha256":"58d3521d50a69bf884fbfd4fd409f01a72b85ecbae098f731b3ec38f05d22644","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58d3521d50a69bf884fbfd4fd409f01a72b85ecbae098f731b3ec38f05d22644","first_computed_at":"2026-05-18T02:53:18.525124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:53:18.525124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4zUD7pcUSE8CKfXQpVsGfhswmtxDVJfYDmR/G95yyCf69NGEUHmcxdUKEXUtPN7DFlZntXnmj8kysSergv5+CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:53:18.525776Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.6052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:977c28246cf07b2e709df88d08f1275fb3eb0efead0d79740d16c9c5e3ca1512","sha256:8eae5f59686215676af485db56ee72c3b4ed3502e7e4fecc81ea7a97c6161ccf"],"state_sha256":"f8b4316ec122a7a9c39fcef995d41802f6bfbc21ceef7ce553c965d92b92751c"}