{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:XVOASDXMTPILWOR7F36UU4DOOP","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":"0dcfb34f0de1e5e394a8955e63c495cada88f6ee648d69e650646fa30b86458e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-13T18:46:41Z","title_canon_sha256":"b0e93be2885c5f5430b637d0aac73fd96281ae82e387a0123f6ee904364fb27d"},"schema_version":"1.0","source":{"id":"1701.03775","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03775","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03775v1","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03775","created_at":"2026-05-18T00:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"XVOASDXMTPIL","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"XVOASDXMTPILWOR7","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"XVOASDXM","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:ae8e1f7d8644d90526efc7db4eaf80e337d29e4399611c8856f3e252f28d2b70","target":"graph","created_at":"2026-05-18T00:52:53Z","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":"Any quantum algorithm can be implemented by an adaptive sequence of single node measurements on an entangled cluster of qubits in a square lattice topology. Photons are a promising candidate for encoding qubits but assembling a photonic entangled cluster with linear optical elements relies on probabilistic operations. Given a supply of $n$-photon-entangled microclusters, using a linear optical circuit and photon detectors, one can assemble a random entangled state of photons that can be subsequently \"renormalized\" into a logical cluster for universal quantum computing. In this paper, we prove ","authors_text":"Dirk Englund, Don Towsley, Mihir Pant, Saikat Guha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-13T18:46:41Z","title":"Percolation thresholds for photonic quantum computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03775","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":"sha256:616cf64fa057035c397d406a2e33767647645c088be7986dc6fbe08f03c4c87d","target":"record","created_at":"2026-05-18T00:52:53Z","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":"0dcfb34f0de1e5e394a8955e63c495cada88f6ee648d69e650646fa30b86458e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-13T18:46:41Z","title_canon_sha256":"b0e93be2885c5f5430b637d0aac73fd96281ae82e387a0123f6ee904364fb27d"},"schema_version":"1.0","source":{"id":"1701.03775","kind":"arxiv","version":1}},"canonical_sha256":"bd5c090eec9bd0bb3a3f2efd4a706e73e70a81811c0d95300f5ae03aabf53abd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd5c090eec9bd0bb3a3f2efd4a706e73e70a81811c0d95300f5ae03aabf53abd","first_computed_at":"2026-05-18T00:52:53.841244Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:53.841244Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mpG5pFISemw4e/E0/2/KSQZr4A46eY4+pXKHfgyeK0VQt4SXI60LqE9lGYXo1nbtT1RkGJ4k2Wuh9BPoJsnUAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:53.841968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03775","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:616cf64fa057035c397d406a2e33767647645c088be7986dc6fbe08f03c4c87d","sha256:ae8e1f7d8644d90526efc7db4eaf80e337d29e4399611c8856f3e252f28d2b70"],"state_sha256":"9008b447d69667322cf7c19290f274843eac4aaa10b7bdf91fa4bdacb4cfb3a3"}