Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T11:03:40.069670Z
Paper Citation Record · LEDGER
Loop clusters on complete graphs
As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2504.16976.
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 2026-08-17T06:30:58.91139+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
35 of 35 outbound references displayed
- verified exact8
- verified fuzzy23
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b4317f5f-cbc1-42a6-a710-2b871bc1ce64 · outbound
This paper cites Graphs and digraphs.
Loop clusters on complete graphs Graphs and digraphs
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:42.419532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f046ac82-6783-419f-91e9-485c4e6faf60 · outbound
This paper cites Non-backtracking loop soups and statistical mechanics on spin networks.
Loop clusters on complete graphs Non-backtracking loop soups and statistical mechanics on spin networks
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:42.317862Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 66a19897-7da8-4549-8920-af1ff5ffc044 · outbound
This paper cites Markov loops in discrete spaces.
Loop clusters on complete graphs Markov loops in discrete spaces
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.710556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b33610c8-6883-4e71-9d27-656670440373 · outbound
This paper cites Loop cluster on the discrete circle.
Loop clusters on complete graphs Loop cluster on the discrete circle
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.626888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cfabc49a-c66b-4315-9735-b691f6bdbe11 · outbound
This paper cites Jacobian Tori Associated with a Finite Graph and Its Abelian Covering Graphs.
Loop clusters on complete graphs Jacobian Tori Associated with a Finite Graph and Its Abelian Covering Graphs
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:42.254325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bbea227c-299e-40b8-911d-06a4dcdf4d07 · outbound
This paper cites A convergence result on the lengths of Markovian loops.
Loop clusters on complete graphs A convergence result on the lengths of Markovian loops
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:42.105131Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b2376495-231c-413e-8915-d312cd10b116 · outbound
This paper cites The Brownian loop soup.
Loop clusters on complete graphs The Brownian loop soup
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:42.014737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4433c996-e451-4147-8b4c-1b39d6e1ba4e · outbound
This paper cites Lando and A.K.
Loop clusters on complete graphs Lando and A.K
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.965835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 95363275-f7c9-4139-88e8-676e51b87316 · outbound
This paper cites Markov loops, determinants and Gaussian fields.
Loop clusters on complete graphs Markov loops, determinants and Gaussian fields
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.538301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8d5b64d3-5bf7-45da-ab21-dff2496a6228 · outbound
This paper cites Advanced Combinatorics.
Loop clusters on complete graphs Advanced Combinatorics
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.864494Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 505e59c3-0979-43dc-b316-e63cd3db7c51 · outbound
This paper cites On the evolution of random graphs, Publ.
Loop clusters on complete graphs On the evolution of random graphs, Publ
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.845559Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8b20ae08-f352-4024-9ee9-c44aac393b14 · outbound
This paper cites Markovian loop clusters on graphs.
Loop clusters on complete graphs Markovian loop clusters on graphs
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.512460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 673f7db4-b2d2-45fe-84f8-7d3e72b5a03b · outbound
This paper cites Markov paths, loops and fields.
Loop clusters on complete graphs Markov paths, loops and fields
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.829028Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8b1bf225-ee06-479d-831a-612fba3ab606 · outbound
This paper cites Random walks and physical fields.
Loop clusters on complete graphs Random walks and physical fields
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.809285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3099ccf1-5c52-41ad-bd64-44fe494cf13b · outbound
This paper cites Markov loops, complex free field and Eulerian circuits.
Loop clusters on complete graphs Markov loops, complex free field and Eulerian circuits
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:03:39.378163Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1caad4d6-ff21-4c0e-a322-1782a4a0684e · outbound
This paper cites Markov loops, coverings and fields.
Loop clusters on complete graphs Markov loops, coverings and fields
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.722628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation df9f88a2-6dc7-4157-9efd-e16434ec36ff · outbound
This paper cites Markov loops topology.
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.389410Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation bfd131a6-f212-4607-a98c-d107b2e2f28b · outbound
This paper cites Poisson ensembles of loops of one-dimensional diffusions.
Loop clusters on complete graphs Poisson ensembles of loops of one-dimensional diffusions
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.325175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f01fb5a7-fdd8-4b4f-9b50-176293a9172f · outbound
This paper cites From loop clusters and random interlacement to the free field.
Loop clusters on complete graphs From loop clusters and random interlacement to the free field
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:03:39.503486Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60bfb955-9b1b-451c-9a19-863ebdafc235 · outbound
This paper cites A note on Ising random currents, Ising-FK, loop-soups and the Gaussian free field.
Loop clusters on complete graphs A note on Ising random currents, Ising-FK, loop-soups and the Gaussian free field
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.695802Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6a2a276f-049a-441b-9e43-07ecabdc8888 · outbound
This paper cites Loop percolation on discrete half-plane.
Loop clusters on complete graphs Loop percolation on discrete half-plane
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T11:03:39.514344Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f018c564-1eb4-4579-a6ad-498aee795bcb · outbound
This paper cites Massey, \ Algebraic Topology: An Introduction \ Springer (1967).
Loop clusters on complete graphs Massey, \ Algebraic Topology: An Introduction \ Springer (1967)
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.598352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5bd1c6f3-4a6c-41a9-986a-5840ce843e18 · outbound
This paper cites Gauge theories as a problem of constructive quantum field theory and statistical mechanics.
Loop clusters on complete graphs Gauge theories as a problem of constructive quantum field theory and statistical mechanics
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.509770Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4674ca97-4b49-4b57-a0b8-c5db82df4bb3 · outbound
This paper cites A Model for Positively Correlated Count Variables.
Loop clusters on complete graphs A Model for Positively Correlated Count Variables
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.439308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 92da8df6-4474-449c-94a6-5bf3ed65d7b8 · outbound
This paper cites Inverting Ray-Knight identity.
Loop clusters on complete graphs Inverting Ray-Knight identity
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.173677Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cc138678-0f10-4a59-8284-395b2fbd6fd0 · outbound
This paper cites Arbres, amalgames, SL_ 2 Asterisque 46.
Loop clusters on complete graphs Arbres, amalgames, SL_ 2 Asterisque 46
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.329440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 83333667-fdb0-4e4f-9f8b-91e9c10586de · outbound
This paper cites an unresolved cited work.
Loop clusters on complete graphs Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T11:03:41.243891Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fa84abdf-5c84-450d-9903-d76ea0659f18 · outbound
This paper cites Symanzik, Euclidean quantum field theory.
Loop clusters on complete graphs Symanzik, Euclidean quantum field theory
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.146370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0fa3a3f5-e354-4c0e-83d1-85145523f7c2 · outbound
This paper cites Graphs on Surfaces.
Loop clusters on complete graphs Graphs on Surfaces
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:41.126067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3e781686-0b2a-4540-9058-86018e3e61d5 · outbound
This paper cites Combinatorial Stochastic Processes.
Loop clusters on complete graphs Combinatorial Stochastic Processes
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:40.999225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0f4a4de1-1912-4e23-b69b-686b4eecf06b · outbound
This paper cites On Tree Census and the Giant component in Sparse Random Graphs.
Loop clusters on complete graphs On Tree Census and the Giant component in Sparse Random Graphs
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:40.978654Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8701b7bf-f18c-4eb6-8ffa-e628e4b953bd · outbound
This paper cites Random Graphs and Complex Networks.
Loop clusters on complete graphs Random Graphs and Complex Networks
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:40.880358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c806a3fc-17b8-4d48-8518-197fed780f8e · outbound
This paper cites On the spatial Markov property of soups of unoriented and oriented loops.
Loop clusters on complete graphs On the spatial Markov property of soups of unoriented and oriented loops
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T11:03:40.147956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e487c572-0da7-490b-af07-a4a15f79ed09 · outbound
This paper cites Appendix in Graphs on Surfaces and their Applications, by S.K.
Loop clusters on complete graphs Appendix in Graphs on Surfaces and their Applications, by S.K
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:40.859030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6234803a-7a1e-46c3-b7e0-4826f0951506 · outbound
This paper cites Generating random spanning trees more quickly than the cover time.
Loop clusters on complete graphs Generating random spanning trees more quickly than the cover time
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T11:03:40.782697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
No inbound Pith citation observations are available.