{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5CW5HM5DFS54NZD2BUFU2M44JQ","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":"1884f93565a765760b5ff820b996272bfbfc3c0a6eb79a636bed427a3104be4a","cross_cats_sorted":["math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-15T22:29:12Z","title_canon_sha256":"1d4dbe06feddc1c78484d5ea155537d0173929b323e1f49bffe90539209fafe5"},"schema_version":"1.0","source":{"id":"1203.3581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.3581","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"arxiv_version","alias_value":"1203.3581v1","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.3581","created_at":"2026-05-18T03:43:52Z"},{"alias_kind":"pith_short_12","alias_value":"5CW5HM5DFS54","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5CW5HM5DFS54NZD2","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5CW5HM5D","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:71498c584029fecc16256ed5b0e50b1df7fd10427a1b8f588c481d1b2dd2bf1a","target":"graph","created_at":"2026-05-18T03:43:52Z","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":"Two quasi-free states on a CAR or CCR algebra are shown to generate quasi-equivalent representations unless they are disjoint.","authors_text":"Shigeru Yamagami, Taku Matsui","cross_cats":["math.MP","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-15T22:29:12Z","title":"Kakutani Dichotomy on Free States"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.3581","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":"sha256:57475ea3e23510c118b10914b5a7e1e0a23a63c91359e55e201ce3919a1650ce","target":"record","created_at":"2026-05-18T03:43:52Z","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":"1884f93565a765760b5ff820b996272bfbfc3c0a6eb79a636bed427a3104be4a","cross_cats_sorted":["math.MP","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-03-15T22:29:12Z","title_canon_sha256":"1d4dbe06feddc1c78484d5ea155537d0173929b323e1f49bffe90539209fafe5"},"schema_version":"1.0","source":{"id":"1203.3581","kind":"arxiv","version":1}},"canonical_sha256":"e8add3b3a32cbbc6e47a0d0b4d339c4c2bbbe0b0d3fc82971398ba8008fc104c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8add3b3a32cbbc6e47a0d0b4d339c4c2bbbe0b0d3fc82971398ba8008fc104c","first_computed_at":"2026-05-18T03:43:52.473422Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:52.473422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dD4siksDchZMEK6EHX8IcMVV9AX8aRJ2ljfcCFYVfir7bVl/ioFQrBkHzFNjrRtoH7qdcAkkL9YqLMayLrDbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:52.474021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.3581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57475ea3e23510c118b10914b5a7e1e0a23a63c91359e55e201ce3919a1650ce","sha256:71498c584029fecc16256ed5b0e50b1df7fd10427a1b8f588c481d1b2dd2bf1a"],"state_sha256":"60a7ed303b82e4f26604e308adb962875d6f68fab1653a988e30a0851d131213"}