{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FGPAOYKKTGVCCZVOLRWSDW6T5U","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":"00ac2f0df31514149d9d5c61d07e1416df0cf6eca48e601ad23653dbfef64071","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-02-09T08:03:43Z","title_canon_sha256":"52e495fce9d2fb44b32cb693090ddb897ca11bf89c942ea788241c8c3f7ed2d3"},"schema_version":"1.0","source":{"id":"1802.03161","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03161","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03161v2","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03161","created_at":"2026-05-17T23:53:44Z"},{"alias_kind":"pith_short_12","alias_value":"FGPAOYKKTGVC","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FGPAOYKKTGVCCZVO","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FGPAOYKK","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:6769f2c538d28901cebc387497a0d631f2a52dc065cfe2cae28d4170d566024f","target":"graph","created_at":"2026-05-17T23:53:44Z","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 conditions for which the correspondence between quasi-free states on self-dual CAR algebras and covariant operators is affine.","authors_text":"Yusuke Sawada","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-02-09T08:03:43Z","title":"The affine property of quasi-free states on self-dual CAR algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03161","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":"sha256:9faa092e01525dd82590104fa2838d4470d6a085a788e3b17339a91caeb98bb8","target":"record","created_at":"2026-05-17T23:53:44Z","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":"00ac2f0df31514149d9d5c61d07e1416df0cf6eca48e601ad23653dbfef64071","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2018-02-09T08:03:43Z","title_canon_sha256":"52e495fce9d2fb44b32cb693090ddb897ca11bf89c942ea788241c8c3f7ed2d3"},"schema_version":"1.0","source":{"id":"1802.03161","kind":"arxiv","version":2}},"canonical_sha256":"299e07614a99aa2166ae5c6d21dbd3ed0fc96fd112b0e01825d721bceba4aade","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"299e07614a99aa2166ae5c6d21dbd3ed0fc96fd112b0e01825d721bceba4aade","first_computed_at":"2026-05-17T23:53:44.357766Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:44.357766Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"05p4+lQgb15M43WKiUITGsv5EcrtVqtR/vK+23BRtWYH/K2hIke3+cbIVBWY422kkkhz71CcWpUXjGSJZF18DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:44.358283Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03161","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9faa092e01525dd82590104fa2838d4470d6a085a788e3b17339a91caeb98bb8","sha256:6769f2c538d28901cebc387497a0d631f2a52dc065cfe2cae28d4170d566024f"],"state_sha256":"cf7a20aa834874019d498851be42498f05d3a0c87262fd6f2a91f2fa7f297e44"}