{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KJE3OGH6S34ZJOBTEXYLNIYL5F","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":"6ca8837249afa30d474320e5acaefa6048c000b5ce1ce00e7fc099c17fe9dfd3","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-12T17:07:49Z","title_canon_sha256":"a5c9a65de2b205a763e83b790d69ecc26d91257c60473528f64174dd7dd938a5"},"schema_version":"1.0","source":{"id":"1806.04648","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.04648","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"arxiv_version","alias_value":"1806.04648v2","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.04648","created_at":"2026-05-18T00:13:21Z"},{"alias_kind":"pith_short_12","alias_value":"KJE3OGH6S34Z","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KJE3OGH6S34ZJOBT","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KJE3OGH6","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:512f46d9d1dec0924f3d8448639172e5afaa63a08fc0e2baad4d0a3694c61b53","target":"graph","created_at":"2026-05-18T00:13:21Z","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":"The `Bohrification\" program in the foundations of quantum mechanics implements Bohr's doctrine of classical concepts through an interplay between commutative and non-commutative operator algebras. Following a brief conceptual and mathematical review of this program, we focus on one half of it, called \"exact\" Bohrification, where a (typically noncommutative) unital C*-algebra A is studied through its commutative unital C*-subalgebras, organized into a poset C(A). This poset turns out to be a rich invariant of A. To set the stage, we first give a general review of symmetries in elementary quantu","authors_text":"Bert Lindenhovius, Klaas Landsman","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-12T17:07:49Z","title":"Symmetries in exact Bohrification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.04648","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:edef007aec8cc140944b2073bda9bcb5394ce877695881fddff3cb0975e0170d","target":"record","created_at":"2026-05-18T00:13:21Z","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":"6ca8837249afa30d474320e5acaefa6048c000b5ce1ce00e7fc099c17fe9dfd3","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-06-12T17:07:49Z","title_canon_sha256":"a5c9a65de2b205a763e83b790d69ecc26d91257c60473528f64174dd7dd938a5"},"schema_version":"1.0","source":{"id":"1806.04648","kind":"arxiv","version":2}},"canonical_sha256":"5249b718fe96f994b83325f0b6a30be96e6a74bfd95b9804871ae81a5f4e61e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5249b718fe96f994b83325f0b6a30be96e6a74bfd95b9804871ae81a5f4e61e0","first_computed_at":"2026-05-18T00:13:21.116453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:21.116453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+XNhsqi91gW2aFggTbEzTnn0IMElvBM3Zj0KBkvgyyypwMF5yy9+dxzFpuBuCYPq452SBXkrvB3+ziB+gaO3Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:21.117179Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.04648","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:edef007aec8cc140944b2073bda9bcb5394ce877695881fddff3cb0975e0170d","sha256:512f46d9d1dec0924f3d8448639172e5afaa63a08fc0e2baad4d0a3694c61b53"],"state_sha256":"2a59423c2406b58244c6faebe91d80a2dee306e7d4e0a91683d530f47848315c"}