Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:10:10.458213Z
Paper Citation Record · LEDGER
A finitary structure theorem for vertex-transitive graphs of polynomial growth
As of 16 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:1908.06044.
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 2026-08-16T06:30:59.297886+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
26 of 26 outbound references displayed
- verified exact1
- verified fuzzy11
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 305645b1-9fa1-4756-8b93-433dd6bea0b6 · outbound
This paper cites Benjamini and G.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Benjamini and G
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.843182Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0eddfbe5-af01-4c79-994d-07d5d3457bf5 · outbound
This paper cites Benjamini, H.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Benjamini, H
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.830148Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 629d1c4c-2fc2-4266-9de5-d3e86073978d · outbound
This paper cites Breuillard, B.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Breuillard, B
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.817239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bdeeca95-4cd0-4f75-af5b-ca87409c472d · outbound
This paper cites Breuillard and M.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Breuillard and M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.803457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2e0e9808-ff43-47e5-850a-f6a4904f9fad · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.790693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ed6d675d-8caf-4b71-af46-61b24dc4bd5b · outbound
This paper cites Diaconis and L.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Diaconis and L
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.777628Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3fa9ec34-af89-4d50-bc5f-e5411b64143a · outbound
This paper cites Diestel and I.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Diestel and I
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.764358Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c2794109-f39d-4f01-91e7-5c1784abf10a · outbound
This paper cites Eskin, D.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Eskin, D
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.753088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 52f43e72-50bb-4b67-8cad-9de097067127 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.740518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4c616e54-534e-4fef-a3e7-2388f39cadd3 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.728280Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 60e69688-ca64-4f68-8d75-aca117558af5 · outbound
This paper cites The exclusion process mixes (almost) faster than independent particles.
A finitary structure theorem for vertex-transitive graphs of polynomial growth The exclusion process mixes (almost) faster than independent particles
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:10:10.383438Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 172d10c3-4424-4e9f-b5a5-014ed6e52412 · outbound
This paper cites Hewitt and K.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Hewitt and K
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.717041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 875237d5-6856-4d5a-b3fd-d0fae687aa56 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.704416Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e9102e48-022a-4561-b7ac-d6bd39114710 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.691623Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cc8c1035-282e-460c-a7c4-2d157146876c · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.678716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation be5991d9-f124-46ef-a68e-37fa29ce5b39 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.665630Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation de229317-ca91-4194-855d-cbcfb93cedae · outbound
This paper cites Shalom and T.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Shalom and T
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.651000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 2a4f279e-fb59-4241-90f1-2f59ab9e6df0 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.638346Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 84df6b37-bd33-4937-b400-e817bd72bc09 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.625002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bfa0f53b-249d-43c0-944d-e0e2c4ff7fbb · outbound
This paper cites Tessera and M.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Tessera and M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.610465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d66b9072-869e-46a6-8f96-7fa69c708f60 · outbound
This paper cites Sharp relations between volume growth, isoperimetry and escape probability in vertex-transitive graphs.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Sharp relations between volume growth, isoperimetry and escape probability in vertex-transitive graphs
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:10:10.506043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 43dadf07-c139-4862-b1bb-e8c0296f6aa5 · outbound
This paper cites Tessera and M.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Tessera and M
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:10:10.592028Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c0687cec-5d3c-470e-825b-512f8962f538 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.577047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 757b3c24-3d5c-47b4-81a4-3fd8df3b54b2 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.563463Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b1be1372-2d42-488e-abae-b1247727fb67 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.550777Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 66c3d7e4-2164-4066-be4e-354ad6344961 · outbound
This paper cites an unresolved cited work.
A finitary structure theorem for vertex-transitive graphs of polynomial growth Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:10:10.536439Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.