Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:47:38.947459Z
Paper Citation Record · LEDGER
The longest increasing subsequence of Brownian separable permutons
As of 22 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2506.19123.
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 2026-08-22T06:32:14.747728+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
42 of 42 outbound references displayed
- verified exact18
- verified fuzzy5
- unresolved19
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b865337b-3481-4643-b025-5e77ffb557e4 · outbound
This paper cites write newline.
The longest increasing subsequence of Brownian separable permutons write newline
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.730648Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dcb2d841-4516-4517-b7be-b85e2df2deff · outbound
This paper cites The scaling limit of random 2-connected series-parallel maps.
The longest increasing subsequence of Brownian separable permutons The scaling limit of random 2-connected series-parallel maps
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.669764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation eb4d62d3-a018-47c0-b7f0-8dee9a48cc88 · outbound
This paper cites Pemantle's min-plus binary tree.
The longest increasing subsequence of Brownian separable permutons Pemantle's min-plus binary tree
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.742064Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e893a8ef-e271-4b51-8679-50c4fd49d298 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.936511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c68d12b4-b748-4220-bca6-14cd446effc6 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.915160Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation de21956c-583a-4b70-92fb-ebfbf92526b8 · outbound
This paper cites Aldous and H.
The longest increasing subsequence of Brownian separable permutons Aldous and H
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:47:39.887467Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b0cf7f7e-9bda-431b-8362-5d6715cca777 · outbound
This paper cites Linear-sized independent sets in random cographs and increasing subsequences in separable permutations.
The longest increasing subsequence of Brownian separable permutons Linear-sized independent sets in random cographs and increasing subsequences in separable permutations
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.621920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c1f9a816-17b4-4698-aaf9-87d3ad5d37f0 · outbound
This paper cites The Brownian limit of separable permutations.
The longest increasing subsequence of Brownian separable permutons The Brownian limit of separable permutations
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.591590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e7f1f512-2c1d-41fc-ac1d-200698257c50 · outbound
This paper cites Universal limits of substitution-closed permutation classes.
The longest increasing subsequence of Brownian separable permutons Universal limits of substitution-closed permutation classes
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.771987Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 019976a4-2099-4c34-9800-9e062a340164 · outbound
This paper cites Random cographs: Brownian graphon limit and asymptotic degree distribution.
The longest increasing subsequence of Brownian separable permutons Random cographs: Brownian graphon limit and asymptotic degree distribution
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.540145Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation aeb390f8-be7b-4d76-ae42-8a22698e1a4a · outbound
This paper cites Scaling limits of permutation classes with a finite specification: a dichotomy.
The longest increasing subsequence of Brownian separable permutons Scaling limits of permutation classes with a finite specification: a dichotomy
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.781334Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 682dbf46-c60e-494d-bfa5-70c302272497 · outbound
This paper cites Baxter permutations and plane bipolar orientations.
The longest increasing subsequence of Brownian separable permutons Baxter permutations and plane bipolar orientations
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.490000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 33e38d7c-081e-499c-9174-366491a36416 · outbound
This paper cites Power-law bounds for increasing subsequences in Brownian separable permutons and homogeneous sets in Brownian cographons.
The longest increasing subsequence of Brownian separable permutons Power-law bounds for increasing subsequences in Brownian separable permutons and homogeneous sets in Brownian cographons
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.461798Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dbbbabeb-4387-46f1-be69-327ada61fcd7 · outbound
This paper cites Bateman and A.
The longest increasing subsequence of Brownian separable permutons Bateman and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:47:39.869117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 22c405af-3bd9-4373-b922-9bc9ac86b6e8 · outbound
This paper cites Reconstructing SLE-decorated Liouville quantum gravity surfaces from random permutons.
The longest increasing subsequence of Brownian separable permutons Reconstructing SLE-decorated Liouville quantum gravity surfaces from random permutons
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.801771Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49102fd1-fa19-411f-adda-4ceb66dae09d · outbound
This paper cites Permutons, meanders, and SLE-decorated Liouville quantum gravity.
The longest increasing subsequence of Brownian separable permutons Permutons, meanders, and SLE-decorated Liouville quantum gravity
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.806362Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2d8704f-ad04-46fb-a3eb-b5ba483a2c26 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.850928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 47cf9884-de81-4718-8daa-bb1ba09bb5f7 · outbound
This paper cites Baxter permuton and Liouville quantum gravity.
The longest increasing subsequence of Brownian separable permutons Baxter permuton and Liouville quantum gravity
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.376223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5e6cbf0e-bef5-47fc-8eb3-5bb492a05cb1 · outbound
This paper cites Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes.
The longest increasing subsequence of Brownian separable permutons Scaling and local limits of Baxter permutations and bipolar orientations through coalescent-walk processes
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.351007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9b34a2f2-3bcf-4bd4-97fa-ffadebd3f970 · outbound
This paper cites Random Permutations -- A geometric point of view.
The longest increasing subsequence of Brownian separable permutons Random Permutations -- A geometric point of view
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.828162Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62b5ff4b-9e49-4da6-b1c8-810ccfadced5 · outbound
This paper cites The skew Brownian permuton: a new universality class for random constrained permutations.
The longest increasing subsequence of Brownian separable permutons The skew Brownian permuton: a new universality class for random constrained permutations
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.299969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4b241260-8997-4801-ab7d-6e356d3c9f74 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.833326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3f05d137-f542-4da0-9205-6af8e52dc2f6 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.815683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 252ddadc-1fb2-447f-904a-e075b91301b0 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.849803Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fd41739-d032-4372-80c3-cfb687155eb6 · outbound
This paper cites Spectral zeta functions of graphs and the Riemann zeta function in the critical strip.
The longest increasing subsequence of Brownian separable permutons Spectral zeta functions of graphs and the Riemann zeta function in the critical strip
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.274305Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 410c8051-9dfb-43eb-aaec-1f8c2a4566fa · outbound
This paper cites The permuton limit of random recursive separable permutations.
The longest increasing subsequence of Brownian separable permutons The permuton limit of random recursive separable permutations
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.248285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 032a2a31-746e-4678-912a-ffabadf2028f · outbound
This paper cites A Singular Mathematical Promenade.
The longest increasing subsequence of Brownian separable permutons A Singular Mathematical Promenade
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.865776Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4ee4cff-bae3-4fe7-b769-c33af944e69a · outbound
This paper cites Scaling limits of Markov branching trees with applications to Galton-Watson and random unordered trees.
The longest increasing subsequence of Brownian separable permutons Scaling limits of Markov branching trees with applications to Galton-Watson and random unordered trees
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.200095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 88737885-23d8-4b21-89cc-fd85de024707 · outbound
This paper cites Spectral zeta functions.
The longest increasing subsequence of Brownian separable permutons Spectral zeta functions
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.174760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5d7070ee-ee37-4461-971e-c5dfa1e3a376 · outbound
This paper cites Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$.
The longest increasing subsequence of Brownian separable permutons Volumes of spheres and special values of zeta functions of $\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.148827Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e3e52e47-72dd-4166-862f-55fb2176034c · outbound
This paper cites Kesten and B.
The longest increasing subsequence of Brownian separable permutons Kesten and B
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:47:39.782624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3326e6c3-4f52-4c35-ae83-131cbaa59162 · outbound
This paper cites Random trees and applications.
The longest increasing subsequence of Brownian separable permutons Random trees and applications
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.121622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8dbb662f-7550-49a2-a995-0c966c1b74b1 · outbound
This paper cites Graph classes with few $P_4$'s: Universality and Brownian graphon limits.
The longest increasing subsequence of Brownian separable permutons Graph classes with few $P_4$'s: Universality and Brownian graphon limits
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.096224Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1709c1ab-324f-4976-beb3-63fdc5626594 · outbound
This paper cites Subgraph densities and scaling limits of random graphs with a prescribed modular decomposition.
The longest increasing subsequence of Brownian separable permutons Subgraph densities and scaling limits of random graphs with a prescribed modular decomposition
Reference 34
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.073789Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d45cc331-0518-4773-9a36-c99cabf35f73 · outbound
This paper cites Lov \'a sz.
The longest increasing subsequence of Brownian separable permutons Lov \'a sz
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:47:39.764065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 92a5319d-4874-4fd6-9fb3-097a11ba869d · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.744027Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 24bf9b8e-8157-40d3-9220-6e12391a3253 · outbound
This paper cites On the Brownian separable permuton.
The longest increasing subsequence of Brownian separable permutons On the Brownian separable permuton
Reference 37
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:47:39.043222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2c5db3a0-9925-48f3-9b86-68e910ebf58a · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.727414Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation b1f4ca0c-d56c-4d77-945f-533002814355 · outbound
This paper cites an unresolved cited work.
The longest increasing subsequence of Brownian separable permutons Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:47:39.707370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e7c60c13-be5c-40d1-98d9-feef98239183 · outbound
This paper cites R \'e my.
The longest increasing subsequence of Brownian separable permutons R \'e my
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:47:39.687962Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation fa788ba3-e7cc-4e6a-a3ba-710362356830 · outbound
This paper cites Limits of random tree-like discrete structures.
The longest increasing subsequence of Brownian separable permutons Limits of random tree-like discrete structures
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.942627Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b2933cb-ba3e-4b13-a356-4e701c135a54 · outbound
This paper cites Graphon convergence of random cographs.
The longest increasing subsequence of Brownian separable permutons Graphon convergence of random cographs
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:47:38.947459Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.