{"as_of":"2026-08-15T16:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3d611e23017610720534dd193feeac341c19b435a355ab10722a37aba233a1dd","coverage":[{"denominator":60,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":60,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T19:55:22.491594Z","state":"measured"},{"denominator":60,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":60,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2412.06366/citation-record","integrity":"/paper/2412.06366/integrity","json":"/paper/2412.06366/citation-record.json","paper":"/paper/2412.06366"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.951247Z","title":"Ahlfors, Quasiconformal reflections, Acta Math., 109, (1963), 291--301","venue":null,"work_id":"514a7833-1535-40c4-bb3d-36e50a8d4d5f","year":1963},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.337917Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:9f3fb7025e286b2c3413dbd9a16d4d769908746c51ff0f36b916eb0cf281984f","observation_id":"e6dfa1ab-9307-4ecb-b27a-47b04b5545c5","resolution":{"observed_at":"2026-08-11T19:55:22.954321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.941312Z","title":"Ahlfors, Lectures on Quasiconformal Mapping, American mathematical Society, Providence, (2006)","venue":null,"work_id":"02393586-746d-4188-a86b-38add2a74963","year":2006},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.341059Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:f621e39a4b0c0d12b160e7417b8ad21778ea3dec9b831991584689e92d1201a3","observation_id":"37c804fb-a45f-4e20-9e19-c972cabbe0ab","resolution":{"observed_at":"2026-08-11T19:55:22.945348Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.16547","last_updated":"2024-12-27T03:06:39Z","snapshot_observed_at":"2026-08-13T15:51:40.381482Z","submitted_at":"2024-09-25T01:39:32Z","title":"SLE Loop Measure and Liouville Quantum Gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.16547","snapshot_observed_at":"2026-08-11T19:55:22.344189Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.344189Z"},"links":{"cited_paper":"/paper/2409.16547","citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:b87f5109b11469ad5ac721f59892ceb544c275f2490b96c608dee945619d7958","observation_id":"ff49852f-0ce6-492d-80eb-d6033ae3a404","resolution":{"observed_at":"2026-08-11T19:55:22.344189Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.933324Z","title":"arvenp\\\"a\\","venue":null,"work_id":"91e69fe3-88f2-459f-bf26-272911c8dcb2","year":2019},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.347255Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:b7cde769f26aaf889f7397f59988484852c9816715a13168b9ee89554740301a","observation_id":"9f50105b-51e9-4500-adcc-5b68c5482486","resolution":{"observed_at":"2026-08-11T19:55:22.935996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.925917Z","title":"Binder, H","venue":null,"work_id":"b9f9073b-30bd-460f-a9f4-1494b6770e54","year":null},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.349943Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:7425e719c93d34d62c5d5a8c2f482088ed2df0140382e66628de45fac6c955f8","observation_id":"69eedf97-0d06-4e58-ad80-028d2a46215d","resolution":{"observed_at":"2026-08-11T19:55:22.928741Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.917523Z","title":"Bishop and Y","venue":null,"work_id":"127c7b76-d7a2-4855-9381-4b9c601dfc96","year":2017},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.352604Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:3b556a2abd85dab77227ec809aaaeab9bf2a295dcfcbc314e91efeb9a4421439","observation_id":"084118b2-c948-4fb0-8009-d629c8e685c0","resolution":{"observed_at":"2026-08-11T19:55:22.920204Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.909226Z","title":"International Congress of Mathematicians, 2, Eur","venue":null,"work_id":"f7b491fd-12f1-4b70-a5e6-6dfd35af2b98","year":2006},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.355129Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:86d558157ae602ffd381f82ffdf89cabf6cf02c01d47511c2c41aa3c955b6336","observation_id":"5b956617-70aa-4023-85f5-4e9f137b2e75","resolution":{"observed_at":"2026-08-11T19:55:22.912137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.902105Z","title":"Bonk, Uniformization of Sierpi\\'nski carpets in the plane, Invent","venue":null,"work_id":"057cbebf-9743-4226-ae08-9ed23a7cd54e","year":2011},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.357589Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:da57d8ff484b28b179557d966641fc4935a8dc3039495a8d8bcb84c1d3cab232","observation_id":"819dae25-321a-4a14-8a94-1fd2b7703974","resolution":{"observed_at":"2026-08-11T19:55:22.904725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.895433Z","title":"Bonk and B","venue":null,"work_id":"47fb062d-8635-4583-b252-d9c95f9e5025","year":2002},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.359957Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:597b4517c2e19df919e00afc741f1fc2f89a91b9972e01a58e0e9c681e28845d","observation_id":"0aa7554d-a0af-456f-95b8-091d79eb02ef","resolution":{"observed_at":"2026-08-11T19:55:22.898035Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.888331Z","title":"Bonk and B","venue":null,"work_id":"67d941d3-9e31-4702-9df2-d492e147464c","year":2005},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.362054Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:6141d12ddcd30f97c978c1388eb514921122cd827cbbb971d8bc4cdf1e2a852d","observation_id":"397e5afc-18c6-4593-8d0e-b11e23e0ffeb","resolution":{"observed_at":"2026-08-11T19:55:22.890884Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.880443Z","title":null,"venue":null,"work_id":"72cdef44-003f-4cdf-b10a-2f9049b7e8f1","year":2009},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.364298Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:4a440f6e8df7527acc4049c08437ce55023b32302216a13d6db787de03497e07","observation_id":"8a4c4914-4cf3-4fed-8a7e-b3fc10965976","resolution":{"observed_at":"2026-08-11T19:55:22.883180Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.872570Z","title":null,"venue":null,"work_id":"0fe789f5-3f5e-4af2-8e17-b4641572c69f","year":2016},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.366750Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:7bfd4c271098c62e58bec9bfe918973a096305cd12c94182b453885fd0b13e65","observation_id":"619de673-fab4-46bb-b4fa-ea041aea8504","resolution":{"observed_at":"2026-08-11T19:55:22.875042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.865103Z","title":"Bonk and S","venue":null,"work_id":"016bc031-2dcb-4a5f-979d-6fa70489c76c","year":2013},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.369113Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:4da52fcc95c073c491bb9fe73dc73ae10a3561fc5711ea48289e9964a4822f7d","observation_id":"4258d2db-c1e4-4750-b6f6-787b28028ff9","resolution":{"observed_at":"2026-08-11T19:55:22.868236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16642","last_updated":"2025-02-03T13:54:08Z","snapshot_observed_at":"2026-08-13T16:52:54.941187Z","submitted_at":"2024-04-25T14:31:02Z","title":"Gaussian free field and Liouville quantum gravity","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.16642","snapshot_observed_at":"2026-08-11T19:55:22.371153Z","title":"Berestycki and E","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.371153Z"},"links":{"cited_paper":"/paper/2404.16642","citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:e6bec51ecdab1776e14adb7dab7348ba710e11739debaaa994b92f86184d0330","observation_id":"c9a41db0-af98-43bd-877a-b244ac70a1ea","resolution":{"observed_at":"2026-08-11T19:55:22.371153Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.857684Z","title":"Cannon, The combinatorial Riemann mapping theorem, Acta Math., 173, (1994),155--234","venue":null,"work_id":"8f9a2836-e6f2-48d8-bfb2-6db7d3086be4","year":1994},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.374202Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:becba604c4b08ae7f1833be482271e4f48ae8f90f0781559f0fd20fb8e45cbe2","observation_id":"3bf1d334-9bf9-4aea-92f7-feb50ab6cecf","resolution":{"observed_at":"2026-08-11T19:55:22.860554Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.849222Z","title":null,"venue":null,"work_id":"5a5cd2ac-c351-4b66-a28f-44c44f202d12","year":1988},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.376834Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:dc1738b080c18b137216b69a53b1250c128c8f45986d14f81a8c4b519aac7567","observation_id":"9661f662-3af6-42c3-813e-0bac30c3f328","resolution":{"observed_at":"2026-08-11T19:55:22.851873Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.842178Z","title":null,"venue":null,"work_id":"59802965-f56f-4639-a33a-a71367052aa9","year":2017},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.379444Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:a4026de57ab1d545e030459cb629398685de19a715b18f4c091e193ab22c0c68","observation_id":"25d4a1e6-3d82-4c3a-b679-d11a18b2f90a","resolution":{"observed_at":"2026-08-11T19:55:22.844752Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.835646Z","title":null,"venue":null,"work_id":"7145c222-342f-4b33-bdf8-a19a91b4283f","year":2020},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.382031Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:9b5117512544d65e6d5dcafc10dcd0d02311bb5362b284ba42cc28e3fd397e85","observation_id":"8e70639f-ad11-4eef-ab57-c6a40bd25fff","resolution":{"observed_at":"2026-08-11T19:55:22.838117Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.828023Z","title":"Duplantier and S","venue":null,"work_id":"fd6201a0-4876-497c-b048-0c83d2482ab8","year":2011},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.385012Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:53f7517a4917683846a309bfd123ceb049c834831c613e6863684b9937366c89","observation_id":"4ed802b7-2d88-4ac3-ac0c-dfcc209c6aed","resolution":{"observed_at":"2026-08-11T19:55:22.830652Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.820657Z","title":"Gwynne and J","venue":null,"work_id":"4c46907c-c914-4c0f-bdeb-45ceb65b4037","year":2021},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.388362Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:db097c4713f94a9662e2ba152b28d1a358fe2cae90707bf519d2d60fefba2fbb","observation_id":"e9a830f8-193b-4251-88ad-c4d475c6d5d4","resolution":{"observed_at":"2026-08-11T19:55:22.823532Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.811953Z","title":"Ha\\\"issinsky, Hyperbolic groups with planar boundaries, Invent","venue":null,"work_id":"b001950f-7201-4b7f-88c6-ef28a5bd59b7","year":2015},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.390674Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:43c9c12243c6712964423ee43164886c5dccb84f024488956a7dd7a7aa243ac6","observation_id":"b42b2e87-52d3-46ee-bfd1-2502a7445950","resolution":{"observed_at":"2026-08-11T19:55:22.815214Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.804308Z","title":"Hakobyan, Quasisymmetrically co-Hopfian Menger curves and Sierpi\\'nski spaces, Adv","venue":null,"work_id":"aae99c0d-d09d-4c24-8aea-2fa3c0f6dbbd","year":2022},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.393838Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:146e9701387ad9ae2b9ef9885936c5ba6959c8f6f2ef7da4e2346573a3415a61","observation_id":"0c0b9208-0f2f-4ed9-8ffe-a95a3d3ed07e","resolution":{"observed_at":"2026-08-11T19:55:22.807374Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.797591Z","title":"Li, Quasisymmetric embeddings of slit Sierpi\\'nski carpets, Trans","venue":null,"work_id":"da0b589e-9d82-4a02-b928-3e1520e34383","year":2023},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.396317Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:b7890e5299a26ed9e94507218d62aa71b4c7a2287b8bf04607860fc835817432","observation_id":"1d1bd62a-a30d-4cc5-9150-b52f0fb09506","resolution":{"observed_at":"2026-08-11T19:55:22.800253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.788284Z","title":null,"venue":null,"work_id":"ede71a74-ee6d-469b-a42b-7c54c26a6a97","year":2001},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.398570Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:865e67750c88d675926adb521931122ca5079b94a2b3d9748286966042f2d69c","observation_id":"2f452eac-4392-4be7-a579-3f040c4debba","resolution":{"observed_at":"2026-08-11T19:55:22.791129Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.780187Z","title":"Hughes, Liouville quantum gravity metrics are not doubling, Electron","venue":null,"work_id":"1be3eaf1-a38f-44b0-91ca-e330671ee0a7","year":2024},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.400706Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:6ff473ed85b1b47c43fe0b9fea6e682e23af781d30f6e1f31075d39d55e8f3f7","observation_id":"3268bc7a-876e-4d31-a628-efee505f83ce","resolution":{"observed_at":"2026-08-11T19:55:22.782938Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.771823Z","title":"Kemppainen, Schramm–Loewner Evolution, SpringerBriefs Math","venue":null,"work_id":"8c6a042c-9e26-4101-b868-d2297a3264db","year":2017},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.402840Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:093657f6a9c8f85fbaf0ab2fe13503dad234edc28cef0a472d2882d4aff6c562","observation_id":"3bc50d70-5011-4753-90a0-9b9de44dab8c","resolution":{"observed_at":"2026-08-11T19:55:22.774577Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.764584Z","title":"Kleiner, Hyperbolic groups with low-dimensional boundary, Ann","venue":null,"work_id":"a6686551-6d5c-4a50-bea0-0c215e33c192","year":2000},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.404981Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:6b2f8d11238b4cde4c9696e9cbcf7148cc177121ef9713568afa0f7e14d1b502","observation_id":"6034c054-edb1-4904-aade-96d48b5359b7","resolution":{"observed_at":"2026-08-11T19:55:22.767013Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.757019Z","title":"Kemppainen and W","venue":null,"work_id":"5da527e4-4bc5-45d5-9327-eec7b9dfa056","year":2016},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.407506Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:9657a9caddfb06e939811d7e6990f86ec18c01ffa7e144649f8a89d573586c54","observation_id":"1f11e5ce-7dfd-4481-ad07-245a414ac720","resolution":{"observed_at":"2026-08-11T19:55:22.759478Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.749651Z","title":"Kleiner, The asymptotic geometry of negatively curved spaces: uniformization, geometrization and rigidity, International Congress of Mathematicians, 2, Eur","venue":null,"work_id":"efb86c54-0d77-49e6-a4cc-be5c3d41927a","year":2006},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.409821Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:1cde293c3e88100b89d448479909273d1d40b16c27b0e47eeb1881674e24eb53","observation_id":"2e007aa1-df4d-4f67-9061-4c382d0d6244","resolution":{"observed_at":"2026-08-11T19:55:22.752670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.742573Z","title":"Lawler, Conformally Invariant Processes in the Plane, Mathematical Surveys and Monographs 114, American Mathematical Society, (2005)","venue":null,"work_id":"7fb55922-0595-49ff-bbca-407bd107712a","year":2005},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.412094Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:a040943cc0e7625fa133b0a5d5f367f8d774e442f41e3473658e0d102ae0cdf1","observation_id":"0b7e96da-0056-49c8-b698-d51c78ba9ada","resolution":{"observed_at":"2026-08-11T19:55:22.745361Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.736182Z","title":"Lawler and M","venue":null,"work_id":"9fa54979-fd60-489c-9790-d88b0b563f56","year":2015},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.414766Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:435b2083c0c5d927394813298d67a5309c23f8fbb857783876290b8b184c6c83","observation_id":"7cdd8c5c-cf6c-4b8c-b49a-2ebe77ab61c5","resolution":{"observed_at":"2026-08-11T19:55:22.738596Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.729855Z","title":"Lawler and W","venue":null,"work_id":"5f16eaf9-c646-4a0c-a63b-df37e330f0fd","year":2004},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.416958Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:fbc333f88bdb896129faf586024385297bc96594329686e2edfab8573706b6f6","observation_id":"f4c4500d-4812-4b29-a22f-adc8f268c874","resolution":{"observed_at":"2026-08-11T19:55:22.732241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.722839Z","title":"Lawler, O","venue":null,"work_id":"6868dfb1-444a-4c92-bf2e-898dd5415fb9","year":2003},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.419226Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:b89c52096b40a9b1c8c5b52f7e41495783d6f55bfffeb7c469f9824bdf5a3469","observation_id":"97e677e4-6d9f-480e-ba26-00a0bd6c766f","resolution":{"observed_at":"2026-08-11T19:55:22.725512Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.715546Z","title":"Mackay, J","venue":null,"work_id":"db7c9e3c-37e3-4781-b2d7-f51ca91faf1b","year":2013},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.421514Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:80601fbc5ab1452475f85962c89182258c53d4233756062ea68147435e83ca8a","observation_id":"ef258903-feba-4ab7-921f-37e0445b36e0","resolution":{"observed_at":"2026-08-11T19:55:22.718713Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.707981Z","title":"Mandelbrot, Intermittent turbulence in self-similar cascades- divergence of high moments and dimension of the carrier, J","venue":null,"work_id":"54fb9f8c-3c26-4936-ae17-d41e107f864c","year":1974},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.424744Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:6e25bf34aea80160b08cfc5fac65aad5c396a23da33e96a399fcb0bbd8ffbd06","observation_id":"3c87bfbe-c548-4b4f-b9b2-287c5c2b2a9e","resolution":{"observed_at":"2026-08-11T19:55:22.711107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.700875Z","title":"Mandelbrot, The fractal geometry of nature revised and enlarged edition, New York, WH Freeman and Co., (1983)","venue":null,"work_id":"381d2a67-1998-4c53-83f0-ccf407e03e0f","year":1983},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.427322Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:c9cc307dcd2b0093c87cc07de99a0d3dc0e6ca01d8225e929181bcf921a6d8ec","observation_id":"c3d4011d-3500-4e23-843c-6d8007035362","resolution":{"observed_at":"2026-08-11T19:55:22.703716Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.694438Z","title":"Marshall and S","venue":null,"work_id":"108d0c82-e18b-4122-88d0-4aa1f227413f","year":2005},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.430427Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:5c98df10daa9233164dc196b50dbcc04937ff9244203fdb3ac94fa12a30d6fe2","observation_id":"426559fa-1956-42e7-a196-619cf79c27dc","resolution":{"observed_at":"2026-08-11T19:55:22.696942Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.687911Z","title":"Merenkov, A Sierpi\\'nski carpet with the co-Hopfian property, Invent","venue":null,"work_id":"51a76248-ae4f-496a-8d43-75f4eeee3bab","year":2010},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.432872Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:dc180766f8174795a87f97e40f60f604ac39e88253d521bce4c36c3139260edd","observation_id":"8ff76519-3f74-410c-bf5a-7c48e4a1c568","resolution":{"observed_at":"2026-08-11T19:55:22.690600Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.680477Z","title":"Wildrick, Quasisymmetric Koebe uniformization., Rev","venue":null,"work_id":"48706c61-7987-4278-831b-74507b20b0d5","year":2013},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.435687Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:9f6b2c1199a9b434cc3d1e2633ae9148e8a446029ae2a951882474eb24a49685","observation_id":"e836cc24-a2d1-4a3c-92ae-f4468a8b4701","resolution":{"observed_at":"2026-08-11T19:55:22.683759Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.671901Z","title":"Meyer, Snowballs are quasiballs, Trans","venue":null,"work_id":"7f716765-d937-48a5-a9b5-c16b5f9572b7","year":2010},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.438049Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:c26c27ec20ac54b6dddcfae0035f53881997c7e1b4783821bf8f1fb653bd85cf","observation_id":"e2968f81-a37d-4138-882d-b01d599fb5f1","resolution":{"observed_at":"2026-08-11T19:55:22.675637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.665625Z","title":"Miller and S","venue":null,"work_id":"2cb81194-5ee4-4c70-8785-792e4e33153d","year":2016},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.440341Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:876d321bff5a579e9f548943a59609a458080ea99a416da94d22b540f1544024","observation_id":"76cf21e4-0870-4817-abf9-b937caa40659","resolution":{"observed_at":"2026-08-11T19:55:22.667902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.658481Z","title":"Miller and S","venue":null,"work_id":"e5b1a6c3-2ec4-4bd6-9b7e-b0af7232d9fa","year":2017},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.442742Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:4a5fef6f948ed3991b60a26e22247bdbdb749a037f8937adbc8f0395a020a7fc","observation_id":"f2406913-02ad-415f-8069-4f379739071f","resolution":{"observed_at":"2026-08-11T19:55:22.660888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.651581Z","title":"Miller, N","venue":null,"work_id":"aa3cecb9-1aad-42ae-9366-7680a794f364","year":2014},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.445133Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:9cf5374e0abd7b1f8bd9f332731ccb0ec5551f30093f3606d3a04cdb23007928","observation_id":"0b16e212-8013-4d71-9500-3e1059f50f06","resolution":{"observed_at":"2026-08-11T19:55:22.654055Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.644805Z","title":"Morters and Y","venue":null,"work_id":"43857f4e-e17e-4657-9ec1-cc5af2c84dde","year":2010},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.447942Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:fbf529cfbe9ef058ba1b5779743fd305a7c560e5b2f706a3c43c6c08041130b9","observation_id":"2deba5a1-d6c1-41e1-8a75-e4bd598b6245","resolution":{"observed_at":"2026-08-11T19:55:22.647523Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.638416Z","title":"Rohde and O","venue":null,"work_id":"0057a578-2d76-4e39-9083-2987701b77fa","year":2005},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.450313Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:014ce729eeb4fc3299ba7e3b7171102647202c9668dc70f50a6885993bc05a19","observation_id":"b63c3173-fd8a-4376-b936-2e96f41ced22","resolution":{"observed_at":"2026-08-11T19:55:22.640908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.630540Z","title":"Schramm, Scaling limits of loop-erased random walks and uniform spanning trees, Israel J","venue":null,"work_id":"e5aca021-a57a-43dc-8482-95d6d390fb68","year":2000},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.452663Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:6a1a240e0735e30314d0d9740191bd536d939346d7fba48e7e7ce0a21f5623a0","observation_id":"7840a9c1-df9e-4e35-a62d-a3487d8e91e1","resolution":{"observed_at":"2026-08-11T19:55:22.634075Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.624160Z","title":"Schramm, S","venue":null,"work_id":"d5c12163-4845-4b93-803d-ebdd57c39323","year":2009},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.455828Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:b583da9c89846d202b764f6e09378c67586e1f788ecce2d0029a48651a85f422","observation_id":"bfcfe1c7-b2d6-404a-8467-05b5f868331f","resolution":{"observed_at":"2026-08-11T19:55:22.626725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.616943Z","title":"Serban and W","venue":null,"work_id":"ed6d3160-7e32-4175-be67-0f14ef17d6e3","year":2011},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.458509Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:e82341c8e2a46e055625e927cab7b571224255ca48404585198db63cdc559cb1","observation_id":"17454f98-1b74-403f-9902-28e82e8f3828","resolution":{"observed_at":"2026-08-11T19:55:22.619679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.608121Z","title":"Sheffield, Exploration trees and conformal loop ensembles, Duke Mathematical Journal, 147, 79--129, (2009)","venue":null,"work_id":"60c71e89-5036-498d-91bd-643b52f8f8a5","year":2009},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.460762Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:9433c7113beb02755eea386c6aabc7cc7fc3fb27431ccb45992cff8e75cf0fc6","observation_id":"089b4508-7ac4-47b4-9a41-68ba88f2de6a","resolution":{"observed_at":"2026-08-11T19:55:22.610715Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.599511Z","title":"Sheffield and W","venue":null,"work_id":"7f300290-bf73-40e1-9b1e-358e3cff29b8","year":2012},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.463708Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:5745682ce7724c52a39d3a0be4d15fb0ee94c311c8d3946192019b338a4b30d3","observation_id":"049b544a-e6ed-4adf-b63c-88ab6bd50118","resolution":{"observed_at":"2026-08-11T19:55:22.602041Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.592420Z","title":"Sullivan, Conformal dynamical systems","venue":null,"work_id":"b0de4be2-8946-4bd0-b661-c10f406470c0","year":1983},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.466614Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:f606e242e95b023c6ecf1b4e7950796ca3d35dc6b3f6c67283e3e7ca117985c8","observation_id":"6ba7e99d-7112-4533-8328-62649ca889f1","resolution":{"observed_at":"2026-08-11T19:55:22.594945Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.585366Z","title":"Sullivan, Quasiconformal homeomorphisms and dynamics I","venue":null,"work_id":"bceb0550-fc1d-403e-b7ed-812398fdeefd","year":1985},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.469198Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:f48b2571cd8803fb24906689e334157cba69065399dd5b8af99fec7c9ed3ef51","observation_id":"8fed0f8d-c99a-44ce-a837-41a9b0c7acad","resolution":{"observed_at":"2026-08-11T19:55:22.587983Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.578487Z","title":"Sullivan, Quasiconformal homeomorphisms and dynamics II","venue":null,"work_id":"9423c96c-e274-4644-97fc-e7229504446c","year":1985},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.471522Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:482e3dd941312c1032f19f2caf4244f3a841c8dc39f68f5a94515c1525e27298","observation_id":"0a3cc617-d86b-449e-849f-1beaa3825b83","resolution":{"observed_at":"2026-08-11T19:55:22.581135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.571549Z","title":"Theory Related Fields, 179, (2021), 1023--1046","venue":null,"work_id":"e98d78b8-dd24-4ef2-899f-04fa46688564","year":2021},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.474449Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:52aa2367dd130a9d685e9209731ec753262f3f7d0666263ca693dcac8cb4c9f1","observation_id":"fd94689c-258f-4fa6-8c36-e6792d3c18c1","resolution":{"observed_at":"2026-08-11T19:55:22.574358Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.562120Z","title":"ais\\\"al\\","venue":null,"work_id":"a8e09fff-3525-4688-a04b-f863ed92679a","year":1980},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.477938Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:8fc97ac9b9a0f0354f66221eae4ddbf78c34876d5b82007ee37aa85c5d40a8ce","observation_id":"38034d75-6ba9-4e09-a803-4a130e66bf38","resolution":{"observed_at":"2026-08-11T19:55:22.566386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.553512Z","title":"Whyburn, Topological characterization of the Sierpi\\'nski curve, Fund Math., 45, (1958), 320--340","venue":null,"work_id":"9009500f-7350-49f6-8967-696b4d3a403b","year":1958},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.480715Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:2078c8ffa1957b95fff2d8afadeb861c8ba635c4a193cce4c6b8fcac0494afd2","observation_id":"075a895b-3d10-4321-875c-5896953fa340","resolution":{"observed_at":"2026-08-11T19:55:22.556131Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.546193Z","title":"Wildrick, Quasisymmetric parametrizations of two-dimensionalmetric planes, Proc","venue":null,"work_id":"945b5310-30be-49b8-b35b-dab36b9f27aa","year":2008},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.483452Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:a26245b5f9326398c7d665692531c4d0ad6aa7cba5829fbe181bcc9469190fd1","observation_id":"df43ab44-3d97-4a5b-8f51-43b118ee8ec8","resolution":{"observed_at":"2026-08-11T19:55:22.548872Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.538724Z","title":"Wu, Conformal restriction: The radial case, Stochastic Process","venue":null,"work_id":"b9247583-fdd6-4975-a77d-a3ab6520b47a","year":2015},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.486613Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:2d2cdfb91d7afbf698b44098dc160920099b58411f3897d07468e01cfb353749","observation_id":"a9aa5b9c-5c67-42b3-a380-85e8e02ac034","resolution":{"observed_at":"2026-08-11T19:55:22.541316Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.531164Z","title":"Zhan, Reversibility of whole-plane SLE, Probab","venue":null,"work_id":"43d457f1-f17e-4dee-b722-2254c0b3a585","year":2015},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.489249Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:a48e6d57c31af4c329817594d9e34206ac659507b1d5d656cc82244db7c8e032","observation_id":"47896bff-5d4b-443d-b236-26fa93c5de19","resolution":{"observed_at":"2026-08-11T19:55:22.534220Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T19:55:22.522249Z","title":"Zhan, SLE loop measures, Probab","venue":null,"work_id":"7d5cb734-60f8-4294-90c5-d168a32dd0a6","year":2021},"citing_paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-11T19:55:22.491594Z"},"links":{"citing_paper":"/paper/2412.06366"},"observation_digest":"sha256:b913dc6b4ead7280978dece66df1fc6370771ecdf62d703ede929af282dfe16b","observation_id":"7fe5ef43-201d-48e1-8403-f30af5e17c41","resolution":{"observed_at":"2026-08-11T19:55:22.526241Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.06366","last_updated":"2024-12-09T10:36:08Z","latest_version":1,"primary_category":"math.MG","snapshot_observed_at":"2026-08-14T23:38:03.757030Z","submitted_at":"2024-12-09T10:36:08Z","title":"Quasisymmetric geometry of low-dimensional random spaces"},"reference_resolution":{"displayed":60,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":8,"verified_exact":0,"verified_fuzzy":52},"total_outbound_references":60},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2412.06366."}