Paper Citation Record · LEDGER

A metric space with its transfinite asymptotic dimension omega + 1

As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 1 inbound Pith citation observation for arXiv:1908.00434.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.00434 v2

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:59:00.605480Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:21:04.464735Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T10:21:04.492385Z

Reference resolution

8 of 8 outbound references displayed

verified exact0
verified fuzzy6
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ac3f177d-09ef-42aa-aa56-be69b71f5859 · outbound

This paper cites Gromov, Asymptotic invariants of inﬁnite groups.

A metric space with its transfinite asymptotic dimension omega + 1 Gromov, Asymptotic invariants of inﬁnite groups

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:59:00.853425Z

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 770564c0-d99e-493d-9ad1-5c9b8f75b131 · outbound

This paper cites Radul, On transﬁnite extension of asymptotic dimension.

A metric space with its transfinite asymptotic dimension omega + 1 Radul, On transﬁnite extension of asymptotic dimension

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:59:00.794747Z

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 db302179-23ee-4c33-92e2-61b5d157325f · outbound

This paper cites Transfinite Asymptotic Dimension.

A metric space with its transfinite asymptotic dimension omega + 1 Transfinite Asymptotic Dimension

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-14T15:59:00.580779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e1e6e5e-8fb1-4bef-bc1e-3a154d83fe31 · outbound

This paper cites Topology and its Applications 238 (2018) 90–101.

A metric space with its transfinite asymptotic dimension omega + 1 Topology and its Applications 238 (2018) 90–101

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:59:00.735461Z

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 90690ff5-caa1-49f8-9fc4-7ed7ec2bbf71 · outbound

This paper cites an unresolved cited work.

A metric space with its transfinite asymptotic dimension omega + 1 Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T15:59:00.700972Z

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 ad97906b-6e14-4a62-9190-98d9e24b9d85 · outbound

This paper cites Borst, Classiﬁcation of weakly inﬁnite-dimensional spaces.

A metric space with its transfinite asymptotic dimension omega + 1 Borst, Classiﬁcation of weakly inﬁnite-dimensional spaces

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:59:00.686845Z

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 2d44b99a-e8ac-4729-a262-d406f423519e · outbound

This paper cites Engelking, Theory of Dimensions: Finite and Inﬁnite.

A metric space with its transfinite asymptotic dimension omega + 1 Engelking, Theory of Dimensions: Finite and Inﬁnite

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:59:00.674022Z

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 6bc796f6-79dd-4792-97d3-c135a9288ccd · outbound

This paper cites Karasev, Covering dimension using toric varieties.

A metric space with its transfinite asymptotic dimension omega + 1 Karasev, Covering dimension using toric varieties

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T15:59:00.658160Z

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.

Pith citing papers

Observation f182ec00-0c5b-4965-8917-c0ea9f238170 · inbound

APD profiles and transfinite asymptotic dimension cites this paper.

APD profiles and transfinite asymptotic dimension A metric space with its transfinite asymptotic dimension omega + 1

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:21:04.497179Z

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.