{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZQRN6MGB5Z63Z76CT3V6RSY43M","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":"d9750bb12a68c22d40cf3851a5e3c0beb319f0fcfa94f98fdc674f2c9d023164","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-11-26T15:35:40Z","title_canon_sha256":"f956c454808a362cdb1a2f4e5ce3b4fd5d3045bc8b51be909e2c05a6f4ce3a8e"},"schema_version":"1.0","source":{"id":"1311.6706","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.6706","created_at":"2026-05-18T03:00:25Z"},{"alias_kind":"arxiv_version","alias_value":"1311.6706v2","created_at":"2026-05-18T03:00:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.6706","created_at":"2026-05-18T03:00:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZQRN6MGB5Z63","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZQRN6MGB5Z63Z76C","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZQRN6MGB","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:b0a1514d4a069bd48a7b959d863eb987c88e27dbec7ac5c30639ad324427ed0b","target":"graph","created_at":"2026-05-18T03:00:25Z","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 prove that enhanced entanglement percolation via lattice transformation is possible even if the new lattice is more poorly connected in that: i) the coordination number (a local property) decreases, or ii) the classical percolation threshold (a global property) increases. In searching for protocols to transport entanglement across a network, it seems reasonable to try transformations that increase connectivity. In fact, all examples that we are aware of violate both conditions i and ii. One might therefore conjecture that all good transformations must violate them. Here we provide a counter","authors_text":"Gerald John Lapeyre Jr","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-11-26T15:35:40Z","title":"The role of local and global geometry in quantum entanglement percolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.6706","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":"sha256:51e46729fe03623524a68773976f2a586cec127548e67cf7aa2153e7234cfa77","target":"record","created_at":"2026-05-18T03:00:25Z","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":"d9750bb12a68c22d40cf3851a5e3c0beb319f0fcfa94f98fdc674f2c9d023164","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-11-26T15:35:40Z","title_canon_sha256":"f956c454808a362cdb1a2f4e5ce3b4fd5d3045bc8b51be909e2c05a6f4ce3a8e"},"schema_version":"1.0","source":{"id":"1311.6706","kind":"arxiv","version":2}},"canonical_sha256":"cc22df30c1ee7dbcffc29eebe8cb1cdb3d36d6ad44d836d67eb95e39829528f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc22df30c1ee7dbcffc29eebe8cb1cdb3d36d6ad44d836d67eb95e39829528f9","first_computed_at":"2026-05-18T03:00:25.467203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:00:25.467203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h0PG98/FJ5ZvLWKTPLyDm/aZ/zFDwSgQ/FJxv9lCiGfZD1A8VVb+rao+ifzERjzfPDpBL+CU+cIFkyJaCRyODg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:00:25.468096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.6706","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51e46729fe03623524a68773976f2a586cec127548e67cf7aa2153e7234cfa77","sha256:b0a1514d4a069bd48a7b959d863eb987c88e27dbec7ac5c30639ad324427ed0b"],"state_sha256":"d3bd28f152272f656c14c13d1cb838eb60e0cd6c12296f3f2ccc06ecced4561f"}