{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TZZN7MS4Q7WZTEHKIAAE2A2WAG","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":"38b69868c437b252f480b267d6a2da0bdc174a6944d94fd08efa30d8f67f6746","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-15T03:24:13Z","title_canon_sha256":"0b470094895a6224cb0d5eea2075945b471f6ee61dc02942f914e46ff9605209"},"schema_version":"1.0","source":{"id":"0811.2454","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.2454","created_at":"2026-05-18T02:15:20Z"},{"alias_kind":"arxiv_version","alias_value":"0811.2454v1","created_at":"2026-05-18T02:15:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.2454","created_at":"2026-05-18T02:15:20Z"},{"alias_kind":"pith_short_12","alias_value":"TZZN7MS4Q7WZ","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TZZN7MS4Q7WZTEHK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TZZN7MS4","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8eb312502e4c76a3466f70a2244466fc6b0db591b2d1edec4dc74cd141ef348c","target":"graph","created_at":"2026-05-18T02:15:20Z","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":"Quantum effects play an important role in quantum measurement theory. The set of all quantum effects can be organized into an algebraical structure called effect algebra. In this paper, we study various topologies on the Hilbert space effect algebra and the projection lattice effect algebra.","authors_text":"Sen Zhu, Zhihao Ma","cross_cats":["math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-15T03:24:13Z","title":"Topologies on Quantum Effects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.2454","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:fdc8c5710cd828ef1f765028e8547ff30b9a80afb32e72bd77115b803b231d4b","target":"record","created_at":"2026-05-18T02:15:20Z","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":"38b69868c437b252f480b267d6a2da0bdc174a6944d94fd08efa30d8f67f6746","cross_cats_sorted":["math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2008-11-15T03:24:13Z","title_canon_sha256":"0b470094895a6224cb0d5eea2075945b471f6ee61dc02942f914e46ff9605209"},"schema_version":"1.0","source":{"id":"0811.2454","kind":"arxiv","version":1}},"canonical_sha256":"9e72dfb25c87ed9990ea40004d0356019288ea142660a967c925c358adb68202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e72dfb25c87ed9990ea40004d0356019288ea142660a967c925c358adb68202","first_computed_at":"2026-05-18T02:15:20.990918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:20.990918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DFEoktCebfajlBTtBfeEfwv+Le1hI9Sbmi3xdMcnuLimxXTb7mCuwNHsnlCmwqNuSt6sb1NrJqicdV7tw681Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:20.991706Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.2454","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdc8c5710cd828ef1f765028e8547ff30b9a80afb32e72bd77115b803b231d4b","sha256:8eb312502e4c76a3466f70a2244466fc6b0db591b2d1edec4dc74cd141ef348c"],"state_sha256":"b16ad77fda4b11e69ff4a6386a7450f495d967941fed90d68d7ee50cea9b9384"}