Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:49:34.154752Z
Paper Citation Record · LEDGER
Subdivided expanders and counterexamples to the Tree Product Conjecture
As of 15 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2608.04659.
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 2026-08-14T06:32:32.682623+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
19 of 19 outbound references displayed
- verified exact2
- verified fuzzy13
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c1dbe037-b747-4202-8fbf-e6e53ade662c · outbound
This paper cites Large-scale geometry of Borel graphs of polynomial growth.
Subdivided expanders and counterexamples to the Tree Product Conjecture Large-scale geometry of Borel graphs of polynomial growth
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:38.959196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fecfc826-c70b-42a4-88b5-b952ef8346c0 · outbound
This paper cites The isoperimetric number of random regular graphs.European Journal of Combinatorics, 9(3):241–244, 1988.
Subdivided expanders and counterexamples to the Tree Product Conjecture The isoperimetric number of random regular graphs.European Journal of Combinatorics, 9(3):241–244, 1988
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:38.780528Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2c5d40f6-747c-4557-bf38-732c293f981d · outbound
This paper cites Asymptotic dimension of minor-closed families and Assouad-Nagata dimension of surfaces.Journal of the European Mathematical Society, 26(10):3739–3791, 2024.
Subdivided expanders and counterexamples to the Tree Product Conjecture Asymptotic dimension of minor-closed families and Assouad-Nagata dimension of surfaces.Journal of the European Mathematical Society, 26(10):3739–3791, 2024
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:38.564892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 507bcb62-84ea-4d0e-916b-cebec670c7c7 · outbound
This paper cites an unresolved cited work.
Subdivided expanders and counterexamples to the Tree Product Conjecture Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:49:38.335736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1008e4a1-b89f-4a34-bd13-1982e9cf6a8d · outbound
This paper cites Pascal Gollin, Daniel J.
Subdivided expanders and counterexamples to the Tree Product Conjecture Pascal Gollin, Daniel J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:38.166642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d3fc4393-c23f-40a6-8f84-1ca21c314240 · outbound
This paper cites Fomin, Łukasz Kowalik, Daniel Lokshtanov, Dániel Marx, Marcin Pilipczuk, Michał Pilipczuk, and Saket Saurabh.Parameterized Algorithms.
Subdivided expanders and counterexamples to the Tree Product Conjecture Fomin, Łukasz Kowalik, Daniel Lokshtanov, Dániel Marx, Marcin Pilipczuk, Michał Pilipczuk, and Saket Saurabh.Parameterized Algorithms
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:37.898756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0e85ce7f-ee83-499d-aabb-7846a6808964 · outbound
This paper cites an unresolved cited work.
Subdivided expanders and counterexamples to the Tree Product Conjecture Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:49:37.665726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ed14ce14-9793-471c-9fe2-084e8411b2d0 · outbound
This paper cites an unresolved cited work.
Subdivided expanders and counterexamples to the Tree Product Conjecture Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:49:37.410739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0cd81401-e8bc-4a2a-8a6e-85cca3aea725 · outbound
This paper cites Sublinear separators, fragility and subexponential expansion.European Journal of Combinatorics, 52:103–119, 2016.
Subdivided expanders and counterexamples to the Tree Product Conjecture Sublinear separators, fragility and subexponential expansion.European Journal of Combinatorics, 52:103–119, 2016
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:37.152764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 43922ba2-d6b9-472c-8fb9-79b95178eb4a · outbound
This paper cites Polynomial-time approximation schemes for independent packing problems on fractionally tree-independence-number-fragile graphs.
Subdivided expanders and counterexamples to the Tree Product Conjecture Polynomial-time approximation schemes for independent packing problems on fractionally tree-independence-number-fragile graphs
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:36.937883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1599fc66-ee2f-4c61-b1c2-c412e070539d · outbound
This paper cites Polynomial-time approximation schemes for induced subgraph problems on fractionally tree-independence-number-fragile graphs.
Subdivided expanders and counterexamples to the Tree Product Conjecture Polynomial-time approximation schemes for induced subgraph problems on fractionally tree-independence-number-fragile graphs
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:49:34.734063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 616aedf0-052b-437d-923f-f983461314ca · outbound
This paper cites Separation profile, isoperimetry, growth and compression.
Subdivided expanders and counterexamples to the Tree Product Conjecture Separation profile, isoperimetry, growth and compression
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:36.691167Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 55e101cf-3cd1-4fff-a0d4-7d6eef0a6097 · outbound
This paper cites A continuum of expanders.Fundamenta Mathematicae, 238(2):143–152, 2017.
Subdivided expanders and counterexamples to the Tree Product Conjecture A continuum of expanders.Fundamenta Mathematicae, 238(2):143–152, 2017
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:36.442268Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7389a2d2-1c25-4d43-a094-0c37897672dd · outbound
This paper cites Disproof of the tree product conjecture via the Heisenberg group.
Subdivided expanders and counterexamples to the Tree Product Conjecture Disproof of the tree product conjecture via the Heisenberg group
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:49:34.481634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2eaf6de6-9fa5-43d6-9082-c82e67218871 · outbound
This paper cites an unresolved cited work.
Subdivided expanders and counterexamples to the Tree Product Conjecture Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:49:36.218602Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d38a4b51-bf7f-4092-acab-5efac43b7053 · outbound
This paper cites Robust algorithms for path and cycle problems in geometric intersection graphs.
Subdivided expanders and counterexamples to the Tree Product Conjecture Robust algorithms for path and cycle problems in geometric intersection graphs
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:35.908514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4a30388a-bb47-4d2e-b269-f88f7cf3350d · outbound
This paper cites Moore graphs and beyond: A survey of the degree/diameter problem.The Electronic Journal of Combinatorics, 20(2):#DS14v2, 2013.
Subdivided expanders and counterexamples to the Tree Product Conjecture Moore graphs and beyond: A survey of the degree/diameter problem.The Electronic Journal of Combinatorics, 20(2):#DS14v2, 2013
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:35.642440Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f1cb0a53-1b69-4dd0-96f7-574904b5310b · outbound
This paper cites Approximation schemes for wireless networks.
Subdivided expanders and counterexamples to the Tree Product Conjecture Approximation schemes for wireless networks
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:35.398795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 78d8f1f6-6852-44c6-aed2-dda1be0809ce · outbound
This paper cites Polynomial growth and asymptotic dimension.Israel Journal of Mathematics, 255(2):985–1000, 2023.
Subdivided expanders and counterexamples to the Tree Product Conjecture Polynomial growth and asymptotic dimension.Israel Journal of Mathematics, 255(2):985–1000, 2023
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:49:35.078889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.