{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YKGVT3OGYMJX22TVE2SEZK33SQ","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":"53f9892979c56f7d8efae6934192c8449dfca6e09e143b0b0f333b7576211f84","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-05-20T08:05:42Z","title_canon_sha256":"53f7139c6e323d80c7ac93c784c1b4bb6d6fe43172973c9fdf32da91defe693a"},"schema_version":"1.0","source":{"id":"1905.07932","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.07932","created_at":"2026-05-17T23:45:48Z"},{"alias_kind":"arxiv_version","alias_value":"1905.07932v1","created_at":"2026-05-17T23:45:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.07932","created_at":"2026-05-17T23:45:48Z"},{"alias_kind":"pith_short_12","alias_value":"YKGVT3OGYMJX","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YKGVT3OGYMJX22TV","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YKGVT3OG","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:36893b4cb0ab12ee3e5cbd2d6b8e75d684d17bdd3ff92ce5d62c59f8155deae0","target":"graph","created_at":"2026-05-17T23:45:48Z","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":"In this paper, we solve two problems dealing with the homogenization of random media. We show that a random quasiconformal mapping is close to an affine mapping, while a circle packing of a random Delauney triangulation is close to a conformal map, confirming a conjecture of Stephenson. We also show that on a Riemann surface equipped with a conformal metric, a random Delauney triangulation is close to being circle packed.","authors_text":"Oleg Ivrii, Vladimir Markovic","cross_cats":["math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-05-20T08:05:42Z","title":"Homogenization of random quasiconformal mappings and random Delauney triangulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.07932","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:bd273f459561151f11d5c0784ae3ef96104331b1af426fa72cbdf4b534bebc9a","target":"record","created_at":"2026-05-17T23:45:48Z","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":"53f9892979c56f7d8efae6934192c8449dfca6e09e143b0b0f333b7576211f84","cross_cats_sorted":["math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-05-20T08:05:42Z","title_canon_sha256":"53f7139c6e323d80c7ac93c784c1b4bb6d6fe43172973c9fdf32da91defe693a"},"schema_version":"1.0","source":{"id":"1905.07932","kind":"arxiv","version":1}},"canonical_sha256":"c28d59edc6c3137d6a7526a44cab7b942427765126356ee26d9025925b9cd775","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c28d59edc6c3137d6a7526a44cab7b942427765126356ee26d9025925b9cd775","first_computed_at":"2026-05-17T23:45:48.044041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:48.044041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HU+RKMxL/F0+0sa1dWZS0/Le78CoHpfJK8VTUeAGt4zDaVA4lW/CfI4xLJs32F9H910uRt8BjMZVEXXNVqIRCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:48.044660Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.07932","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd273f459561151f11d5c0784ae3ef96104331b1af426fa72cbdf4b534bebc9a","sha256:36893b4cb0ab12ee3e5cbd2d6b8e75d684d17bdd3ff92ce5d62c59f8155deae0"],"state_sha256":"6e3d61e2923bc318f9072fe9e770d5624af36573b6d646a308831d071d119ed2"}