Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:47:55.707101Z
Paper Citation Record · LEDGER
Cutoff for random lifts of weighted graphs
As of 16 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:1908.02898.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
37 of 37 outbound references displayed
- verified exact7
- verified fuzzy25
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b472ba99-c89f-407a-a667-1d0c4a621a2c · outbound
This paper cites The spectrum of random lifts.
Cutoff for random lifts of weighted graphs The spectrum of random lifts
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T14:47:55.589357Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6dac28f7-4fb7-4bea-bf68-ead7112e0bf8 · outbound
This paper cites Random walks on finite groups and rapidly mi xing markov chains.
Cutoff for random lifts of weighted graphs Random walks on finite groups and rapidly mi xing markov chains
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.166198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation acaa04ea-471f-4bfe-af2d-23e65eca625e · outbound
This paper cites Shuffling cards and stopp ing times.
Cutoff for random lifts of weighted graphs Shuffling cards and stopp ing times
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.156990Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4940a8fa-475c-4e76-af45-e88ec8628df5 · outbound
This paper cites an unresolved cited work.
Cutoff for random lifts of weighted graphs Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:47:56.149299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 926d21d3-0122-4da7-a8a6-133990c64cfc · outbound
This paper cites Random lifts of graphs: edge expansion.
Cutoff for random lifts of weighted graphs Random lifts of graphs: edge expansion
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.141411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fcd35b16-9aed-4b90-a081-0f4f42fd6767 · outbound
This paper cites Random lifts of graphs: independence and chromatic number.
Cutoff for random lifts of weighted graphs Random lifts of graphs: independence and chromatic number
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.133635Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 02d6b66e-0424-4c8f-a3b9-3e06a5643a7b · outbound
This paper cites Random lifts of graphs.
Cutoff for random lifts of weighted graphs Random lifts of graphs
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.126002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a851745b-57e3-4149-9621-da3cf58daabe · outbound
This paper cites Random walks on dynamic configuration models: a trichotomy.
Cutoff for random lifts of weighted graphs Random walks on dynamic configuration models: a trichotomy
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.808912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4ce0c672-79a9-4fc3-bd29-eb1b6caaeb7a · outbound
This paper cites Compari ng mixing times on sparse random graphs.
Cutoff for random lifts of weighted graphs Compari ng mixing times on sparse random graphs
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.118042Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 075d9fe3-b3f9-4170-a33e-653857ba2722 · outbound
This paper cites Cutoff for nonbacktrac king random walks on sparse random graphs.
Cutoff for random lifts of weighted graphs Cutoff for nonbacktrac king random walks on sparse random graphs
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.108536Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 10fdf382-d899-4d21-be0c-e693114570f2 · outbound
This paper cites Random walks on the random graph.
Cutoff for random lifts of weighted graphs Random walks on the random graph
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.098912Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f10d7675-16d9-4c23-8647-1faa10620364 · outbound
This paper cites Bordenave.
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.090791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation da4e9872-0141-4919-aad6-0e4e085f8f3e · outbound
This paper cites Eigenvalues of random lifts and polynomials of random permutation matrices.
Cutoff for random lifts of weighted graphs Eigenvalues of random lifts and polynomials of random permutation matrices
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.796462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 71cff92a-491e-4fc2-b7da-aa32203dc2af · outbound
This paper cites Cutoff at the entropic time for random walks on covered expander graphs.
Cutoff for random lifts of weighted graphs Cutoff at the entropic time for random walks on covered expander graphs
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.785050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ece5607c-7834-49bf-8c2d-0badc16522f8 · outbound
This paper cites Mixing time of PageRank surfers on sparse random digraphs.
Cutoff for random lifts of weighted graphs Mixing time of PageRank surfers on sparse random digraphs
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.772392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 06a5c2c7-3287-486e-b5df-2727435331fa · outbound
This paper cites Markov chains with stationary transition probabilities.
Cutoff for random lifts of weighted graphs Markov chains with stationary transition probabilities
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.081727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 57c9248e-cb23-4a2d-992f-c42392f54862 · outbound
This paper cites Generating a r andom permutation with ran- dom transpositions.
Cutoff for random lifts of weighted graphs Generating a r andom permutation with ran- dom transpositions
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.071946Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b4850e29-c334-4ed8-8713-5d8942912ab5 · outbound
This paper cites Minors in lifts of graphs.
Cutoff for random lifts of weighted graphs Minors in lifts of graphs
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.063762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f8c77767-aab6-493b-93e6-4960484b97cd · outbound
This paper cites Gaudilli` ere and C.
Cutoff for random lifts of weighted graphs Gaudilli` ere and C
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.055284Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 83df4fb4-545f-42f0-987b-bdf69e1eefc2 · outbound
This paper cites an unresolved cited work.
Cutoff for random lifts of weighted graphs Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:47:56.047590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5ea21151-d607-4a80-b22c-bc45936c03e6 · outbound
This paper cites an unresolved cited work.
Cutoff for random lifts of weighted graphs Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:47:56.040036Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d52263e0-e9c9-4ecb-a33f-2f77d377fe40 · outbound
This paper cites Supplementary Material for Random Cayley Graphs Project.
Cutoff for random lifts of weighted graphs Supplementary Material for Random Cayley Graphs Project
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.760231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5c4abdb0-5b25-4253-b12f-91d107a8876b · outbound
This paper cites an unresolved cited work.
Cutoff for random lifts of weighted graphs Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:47:56.032641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f1b081a5-2762-4402-8acc-6afbb6ab9177 · outbound
This paper cites Random lifts of graphs : perfect matchings.
Cutoff for random lifts of weighted graphs Random lifts of graphs : perfect matchings
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.024128Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation aa3cd9ca-4791-4500-bd3d-98379c7b2970 · outbound
This paper cites Cutoff on all Ramanujan graphs.
Cutoff for random lifts of weighted graphs Cutoff on all Ramanujan graphs
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.746976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 704713be-708e-4bae-a8ae-c8d9ae1887cc · outbound
This paper cites Cutoff phenomena for random walks on random regular graphs.
Cutoff for random lifts of weighted graphs Cutoff phenomena for random walks on random regular graphs
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.016048Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 33168914-46d7-4683-9df3-a2f91fe978cd · outbound
This paper cites Spectra of lif ted ramanujan graphs.
Cutoff for random lifts of weighted graphs Spectra of lif ted ramanujan graphs
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:56.006061Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 47699bef-0570-4711-9a5a-8cd4c6933df9 · outbound
This paper cites Discrete groups, expanding graphs and invariant measures , volume 125 of Progress in Mathematics.
Cutoff for random lifts of weighted graphs Discrete groups, expanding graphs and invariant measures , volume 125 of Progress in Mathematics
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.996880Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d7c7f73b-0b84-44a0-9875-c5fd152b8d20 · outbound
This paper cites Random walks and percolation on trees.
Cutoff for random lifts of weighted graphs Random walks and percolation on trees
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.987523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a5dd10d4-595d-4fa1-bfdf-a34ed1d86747 · outbound
This paper cites A simple criterion for transience of a reve rsible Markov chain.
Cutoff for random lifts of weighted graphs A simple criterion for transience of a reve rsible Markov chain
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.976642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3bc81695-efc5-4870-b1e0-a83547188e28 · outbound
This paper cites Mathematical aspec ts of mixing times in Markov chains.
Cutoff for random lifts of weighted graphs Mathematical aspec ts of mixing times in Markov chains
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.965879Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b1e88dec-a4c0-4730-b720-971d3e048cec · outbound
This paper cites Gree n functions on trees with finitely many cone types, 1999.
Cutoff for random lifts of weighted graphs Gree n functions on trees with finitely many cone types, 1999
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.863445Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 72f8a30b-b852-4ae4-b613-72ac3de1dbf5 · outbound
This paper cites Random walks on t rees with finitely many cone types.
Cutoff for random lifts of weighted graphs Random walks on t rees with finitely many cone types
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.854671Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8910e4fb-f6a0-4e28-babd-007963e26748 · outbound
This paper cites The rate of escape for ani sotropic random walks in a tree.
Cutoff for random lifts of weighted graphs The rate of escape for ani sotropic random walks in a tree
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.845524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1f2b5bfd-754f-4614-911f-91907af5f8b5 · outbound
This paper cites Cutoff for Random Walk on Dynamical Erd\H{o}s--R\'enyi Graph.
Cutoff for random lifts of weighted graphs Cutoff for Random Walk on Dynamical Erd\H{o}s--R\'enyi Graph
Reference 35
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T14:47:55.733925Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e63ccd09-71fa-4f82-8f06-924d2892e189 · outbound
This paper cites Random walk on periodic trees.
Cutoff for random lifts of weighted graphs Random walk on periodic trees
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.836091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b457e675-05de-435e-8ef5-d34057556b42 · outbound
This paper cites Random walks and periodic continued fr actions.
Cutoff for random lifts of weighted graphs Random walks and periodic continued fr actions
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:47:55.826365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.