Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T23:40:03.872006Z
Paper Citation Record · LEDGER
As of 10 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2509.06559.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T23:40:03.872006Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-04T08:50:01.849595Z
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3bbc31b5-0f6f-4ec7-9fa2-b044c919a4b6 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The continuum random tree I.The Annals of Probability, 19(1):1 – 28, 1991
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 01837088-9e50-47cc-82c2-f0e6eb04d4c3 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The continuum random tree II
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5c42a576-96f6-470c-a027-6fdd0b0fcdf3 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The continuum random tree III.The Annals of Probability, pages 248–289, 1993
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cde6e3b7-eb2f-40ec-9af0-4f07779f893a · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The satisfiability threshold for random linear equations.Combinatorica, 40(2):179–235, 2020
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5df1974b-6a71-45d0-a969-111c75bd765d · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Topology of random geometric complexes: a survey
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eb8d54f2-b14b-40b4-b346-b34b0f0ce84f · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Random simplicial complexes: models and phe- nomena
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 0ac630cb-49a8-4689-b420-d762257e7e0e · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Counting graph homomorphisms
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 847fa2ed-9845-4b12-b412-73cc7618374b · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Convergent sequences of dense graphs i: Subgraph frequencies, metric properties and testing.Advances in Mathematics, 219(6):1801–1851, 2008
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e4849c54-53c8-469c-8329-50eccebdc34d · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Convergent sequences of dense graphs ii
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da6283d3-2179-441c-aac2-33c70eb5e497 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The large deviation principle for the Erdős- Rényi random graph.European Journal of Combinatorics, 32(7):1000–1017, 2011
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e5b81474-2bfd-4daa-a44e-dcacefcdebdf · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Vanishing of cohomology groups of random simplicial complexes.Random Structures & Algorithms, 56(2):461–500, 2020
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 324272d9-e523-493b-998e-aecafdd05dcd · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Large deviations techniques and applications
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 150d597d-6d10-478d-a951-cb4b2bb13df5 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Graph limits and exchangeable random graphs.Ren- diconti di Matematica e delle sue Applicazioni
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 036b3855-6cb4-4edf-8fc4-d05f99e07131 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Homologyofmulti-parameterrandomsimplicialcomplexes.Discrete & Computational Geometry, 62(1):87–127, 2019
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3442840b-2140-4385-ab99-b0351d91b918 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Reflection positivity, rank connectivity, andhomomorphismofgraphs.Journal of the American Mathematical Society, 20(1):37–51, 2007
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f340b9a4-db48-4078-b846-516e913b8469 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Quick approximation to matrices and applications.Com- binatorica, 19(2):175–220, 1999
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9d465629-f4ed-4173-8c4e-21125cca2af7 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Random labelled trees and their branching networks.Journal of the Australian Mathematical Society, 30(2):229–237, 1980
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a6a3706-b35d-4136-b8f5-e5dcced1d56a · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Algebraic topology, 2000
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a2e78f33-b18b-4d33-a0d9-f02919841339 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The threshold for integer homology in random d-complexes.Discrete & Computational Geometry, 57:810–823, 2017
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation f6858258-37fe-4977-93e2-8fbbbed40ab1 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Determinantal processes and independence.Probability Surveys, 3:206–229, 2006
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08edd824-013c-4d89-ac7f-ac3ffd0c09c9 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Sharp vanishing thresholds for cohomology of random flag complexes
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5faea396-efd2-4111-96bd-cf735b68b386 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Cohen–Lenstra heuristics for torsion in homology of random complexes.Experimental Mathematics, 29(3):347–359, 2020
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7cfc0ba0-d40a-4a86-a1d5-3f7ea9037e6b · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Topology and geometry of random 2-dimensional hypertrees.Discrete & Computational Geometry, 67(4):1229–1244, 2022
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 69685445-e462-4791-9f45-1da1a6848f2e · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Inside the critical window for cohomology of random k-complexes.Random Structures & Algorithms, 48(1):102–124, 2016
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7fc725f2-5cd2-4979-a76a-a4f1bff37469 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Enumeration ofQ-acyclic simplicial complexes.Israel Journal of Mathematics, 45:337–351, 1983
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9b71da69-2403-4d9f-afbb-6ef6fb4c09b2 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Law of large numbers for Betti numbers of homogeneous and spatially independent random simplicial complexes.Random Structures & Algorithms, 60(1):68– 105, 2022
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 41fa8562-f7da-4e2a-bab8-da90ca2dbe41 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Multigraph limits and exchangeability.Acta Mathe- matica Hungarica, 130:1–34, 2011
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 49a7a055-07c2-47a7-9d87-9b7164fe0fba · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Uniqueness of Banach space valued graphons.Journal of Math- ematical Analysis and Applications, 474(1):413–440, 2019
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bbf1de76-ec4e-4fee-9744-a482bb24dc49 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Multigraph limits, un- bounded kernels, and Banach space decorated graphs.Journal of Functional Analysis, 282(2):109284, 2022
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a9201dee-16b9-4e33-8b3b-bd9979f37720 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Distribution of the cokernels of determinantal row-sparse matrices.arXiv preprint arXiv:2505.11700, 2025
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16454ee3-0ef0-4184-8049-6f5ce3a03456 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Homological connectivity of random 2-complexes
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa8988e4-89d7-4de3-86a0-747e141dbe30 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes On the phase transition in random simplicial complexes
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ab1b96d-d096-46bf-a70a-1e4bed7057a6 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Enumeration and randomized constructions of hypertrees
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 56de0d4a-3287-4ff4-af04-89439496a891 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The rank of connection matrices and the dimension of graph algebras
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 68f6a288-9d4d-4877-bd73-a72805c73227 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes American Mathematical Soc., 2012
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe404740-9f31-47f4-956f-3ce9bdabe3df · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Generalized quasirandom graphs.Journal of Combinatorial Theory, Series B, 98(1):146–163, 2008
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 150f260b-9238-4d7e-8176-0ad1432f00ac · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Limits of dense graph sequences.Journal of Combina- torial Theory, Series B, 96(6):933–957, 2006
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c847fe70-598a-4a34-9d69-394507ee2b15 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Szemerédi’s lemma for the analyst.GAFA Geometric And Functional Analysis, 17:252–270, 2007
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3f26b323-e5a8-41d9-8d03-f2cb13fbc6c2 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Contractors and connectors of graph algebras.Journal of Graph Theory, 60(1):11–30, 2009
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c1f9c148-0fd4-4532-876c-6cbaaf506b88 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Limits of compact decorated graphs
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa55c1e1-1a55-47a8-932d-f586ae46789d · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Testing properties of graphs and functions.Israel Journal of Mathematics, 178(1):113–156, 2010
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 928367ef-7d52-4575-a946-163ea06abd86 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Integral homology of random simplicial complexes
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fcc1d139-e2d6-4e04-b8ae-c905011545cf · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Determinantal probability measures.Publications Mathématiques de l’IHÉS, 98:167–212, 2003
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b97e1db5-b827-42c0-92b2-f77b9f35f627 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Randomcomplexesandℓ 2-Bettinumbers.Journal of Topology and Analysis, 1(02):153–175, 2009
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 62bca616-fa02-4f7a-aa34-46cdf91df585 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Cambridge University Press, 2017
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54a28841-4fff-40ea-9744-a225379e6a2b · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Homological connectivity of random k-dimensional complexes.Random Structures & Algorithms, 34(3):408–417, 2009
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 997ff468-f857-48ed-a254-8d5f65ab8797 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The local weak limit of k-dimensional hypertrees.Transactions of the American Mathematical Society, 375(9):6127–6154, 2022
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3991fd78-baa5-435e-8c48-fe01e105c83b · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The $2$-torsion of determinantal hypertrees is not Cohen-Lenstra
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28d40546-4b44-4904-96e8-927d6d1ec952 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Coboundary expansion for the union of determinantal hypertrees.Ran- dom Structures & Algorithms, 65(4):896–914, 2024
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4aed65d8-bf46-454c-ad9a-f7ffc0753a42 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Bounds on the mod 2 homology of random 2-dimensional determinantal hypertrees.Combinatorica, 45(2):17, 2025
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 9e590117-6511-455f-9bca-096c9441f3b6 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Cohen–Lenstra distribution for sparse matrices with determinantal bi- asing.International Mathematics Research Notices, 2025(3), 2025
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ca9fcb52-32de-4030-9820-53c25080646a · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes The homology torsion growth of determinantal hypertrees
Reference 52
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d4c4cdf3-6078-4e6d-be6c-7cf794242021 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Distribution of labelled trees by diameter
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 39a2f4c9-aaf7-4309-b87e-1a8b5b29daf1 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Regular partitions of graphs
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 025bec2b-9341-4b9c-b9c3-2089e99dce27 · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Simplex links in determinantal hypertrees.Journal of Applied and Computational Topology, pages 1–26, 2024
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c358434e-dfd4-4f2c-8633-88d40fb48fea · outbound
Using dense graph limit theory to count cocycles of random simplicial complexes Probability theory for random groups arising in number theory
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ff460cd2-8e81-4c17-8170-26ac753e034e · inbound
Local limits of determinantal processes Using dense graph limit theory to count cocycles of random simplicial complexes
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.