Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:02:48.077092Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 1 inbound Pith citation observation for arXiv:2412.13672.
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 2026-08-11T13:02:48.077092Z
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, observed 2026-06-27T00:10:16.742500Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T21:48:59.694434Z
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6b85f048-6d32-4ffd-a312-eb0e0117c7a0 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Aldous, Brownian excursions, critical random graphs and the multip licative coalescent , The Annals of Probability (1997), 812–854
Reference 1
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 d44a2983-d95b-416d-b986-be82eecbca90 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs J Aldous, Deterministic and stochastic models for coalescence (aggr egation and coagulation): a review of the mean-field theory for probabilists, Bernoulli 5 (1999), no
Reference 2
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 c847e0d9-b867-4e06-962e-af74edbe4d1f · outbound
Reference 3
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 5815f71c-b096-479c-b728-585a99694369 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs B Athreya and P
Reference 4
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 da5df5e8-ce49-4a48-ba07-00272ea91883 · outbound
Reference 5
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 010b8256-17d6-475f-90c1-9d202776d7c0 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Barbour and A
Reference 6
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 32a27252-0656-42ba-8e28-ae127e1b66c6 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs We begi n with the following lemma
Reference 7
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 360af0c7-cf9e-4887-924d-41a14461242e · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs k-th level truncation
Reference 8
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 75818a16-1e69-4c3e-b856-fb0565c876e5 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Scaling limits and universality: Critical percolation on weighted graphs converging to an $L^3$ graphon
Reference 9
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 88a8572d-7519-4f8c-a60f-453fc9fa4aa0 · outbound
Reference 10
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 cf27e69c-b31c-43a2-a2b9-2d9d8fb6e53a · outbound
Reference 11
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 8b2b8f1a-37b4-469e-91ec-796c0b80bf11 · outbound
Reference 12
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 bf9580f2-e70d-437d-a24b-cfcdaea22655 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Bollob ´as, Random Graphs, Second, Cambridge Studies in Advanced Mathematics, vol
Reference 13
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 6f2741e5-8172-49c5-bd4b-005cc4101db7 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Bollob ´as, C
Reference 14
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 266aaebc-a9a9-4eb3-aeae-e5102c3811ed · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Bollob ´as, S
Reference 15
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 f0313e71-b012-4dd0-b9d9-e45eb996ba47 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Bollob ´as and O
Reference 16
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 0db0dde0-3241-4c37-b897-296d9ac84440 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs A central limit theorem for the giant in a stochastic block model
Reference 17
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 4f88d03f-ded0-4369-bbb3-c585ed9b9cf3 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs A novel approach to the giant component fluctuations
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation baaa630c-7402-4d45-a02f-353ae0c83dd2 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Corujo, The number of connected components in sub-critical random g raph processes, 2024
Reference 19
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 17b31bc0-0566-474f-881d-f319df2b8ba7 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Da Prato and J
Reference 20
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 8fd8c5c9-9fc4-4b38-931d-14b4db83c62f · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Durrett, Random graph dynamics , Cambridge Series in Statistical and Probabilistic Mathem atics, vol
Reference 21
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 538e5e02-891b-4f81-b719-dae27aebb484 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Enriquez, G
Reference 22
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 29304086-5b93-43f9-bcaf-77849a5ae211 · outbound
Reference 23
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 33647e12-9b35-4fc9-9302-87bc9c721fa0 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Ethier and T
Reference 24
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 ba684dcf-ee55-406e-aa1a-a93308113ae4 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs M Frieze, On the value of a random minimum spanning tree problem , Discrete Applied Mathematics 10 (1985), no
Reference 25
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 78f12278-d97d-42c2-ab5f-e34e57ae276e · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Random minimum spanning tree and dense graph limits
Reference 26
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 b351dad1-0854-4c76-a72a-aa8919169be2 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Janson, The minimal spanning tree in a complete graph and a functional limit theorem for trees in a random graph, Random Structures & Algorithms 7 (1995), no
Reference 27
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 5f1fd6fa-6e86-470c-8ed8-be965663127a · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Janson, Asymptotic equivalence and contiguity of some random graph s, Random Structures & Algorithms 36 (2010), no
Reference 28
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 2372ff1b-0721-46ae-a801-b7c437e2ee52 · outbound
Reference 29
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 a29dcc57-d66d-458f-a165-9e1f64b04ef8 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Unresolved cited work
Reference 30
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 f9794bcc-a39b-4b3f-91f6-96440bb196eb · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Karatzas and S
Reference 31
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 674f397b-bad9-48fd-aa40-fdf96175c055 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Unresolved cited work
Reference 32
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 ac967385-a9fd-4405-8e4f-61fd7d950da2 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Kovchegov and P
Reference 33
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 fe5c7e51-c939-4f4f-98bd-ce5f5974c72f · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs G Kurtz, Approximation of Population Processes, SIAM, 1981
Reference 34
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 86e15660-a6f2-46a6-a960-7ce91b89e2c4 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Limic, The eternal multiplicative coalescent encoding via excursions of L ´evy-type processes, Bernoulli 25 (2019), no
Reference 35
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 9c492362-8075-472a-bf2f-41d7e898610e · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Lov ´asz, Large Networks and Graph Limits, American Mathematical Society Colloquium Publications, vol
Reference 36
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 c5d3a6c0-ed70-4baa-a007-06dc24340187 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Molloy and B
Reference 37
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 aca587d1-7127-427c-8988-6840e6e58b41 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs R Norris, Smoluchowski’s coagulation equation: uniqueness, nonuni queness and a hydrodynamic limit for the stochastic coalescent, The Annals of Applied Probability 9 (1999), no
Reference 38
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 6e087f03-2698-4199-a168-08a843043404 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Pittel, On tree census and the giant component in sparse random graph s, Random Structures & Algorithms 1 (1990), no
Reference 39
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 9d0c141e-ffb4-40fa-b2d8-941b43a7a7ef · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Pittel and N
Reference 40
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 2f26cdc1-3810-4f8c-b5e5-f37c8b1c3298 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Unresolved cited work
Reference 41
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 adc95b0c-71c9-411c-bd09-65f6c9b55f21 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Riordan, The phase transition in the configuration model , Combinatorics, Probability and Computing 21 (2012), no
Reference 42
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 90b13c48-be98-4bfc-9006-e524719d8377 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Unresolved cited work
Reference 43
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 dbab3c05-f8c4-4967-9c85-1e93f09ac0a2 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Spencer and N
Reference 44
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 b59af0c6-b76a-4e8b-a06f-0b3a8d73b9b0 · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs Steele, On Frieze’sχ (3) limit for lengths of minimal spanning trees, Discrete Applied Mathematics 18 (1987), no
Reference 45
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 9aaf9a39-dba3-428f-abcb-a4ad3fc1cdce · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs van der Hofstad, Random Graphs and Complex Networks
Reference 46
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 03a0eab2-5aa8-4d89-82a6-4d896e6e79ca · outbound
Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs van der Hofstad, Random Graphs and Complex Networks
Reference 47
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 75614366-ff85-445f-b73e-76a787e7b1cd · outbound
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9a1a1f4a-fc81-4836-ba53-27068a334ead · inbound
Asymptotics of the number of labelled connected sparse multitype graphs Functional Central limit theorems for microscopic and macroscopic functionals of inhomogeneous random graphs
Reference 6
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.