Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T05:21:49.264644Z
Paper Citation Record · LEDGER
On the top-dimensional $\ell^2$-Betti numbers
As of 14 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:1909.01633.
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
43 of 43 outbound references displayed
- verified exact1
- verified fuzzy22
- unresolved20
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6e27f7fb-fd67-487b-bb20-d8477dea1755 · outbound
This paper cites Ab \'e rt and D.
On the top-dimensional $\ell^2$-Betti numbers Ab \'e rt and D
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.842228Z
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 2d24c2c5-c83c-4c4b-8fac-ab6c5262d115 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.830063Z
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 5340b51e-d69f-4a72-b87e-15dd3de7cae2 · outbound
This paper cites Bartholdi.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.816323Z
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 f21dd8df-ae59-4aa6-87c2-36103486caf5 · outbound
This paper cites Baumslag.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.801850Z
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 2a8ba84e-35c5-43d9-b3e0-d569d32b2f80 · outbound
This paper cites Besson, M.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.779071Z
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 6d0540be-a23b-470d-a0ff-9eff87890021 · outbound
This paper cites Bestvina, K.-U.
On the top-dimensional $\ell^2$-Betti numbers Bestvina, K.-U
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.768172Z
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 25584bef-f08e-4e0d-ac8b-a820899a6850 · outbound
This paper cites Bartholdi and D.
On the top-dimensional $\ell^2$-Betti numbers Bartholdi and D
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.758058Z
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 90757056-e0ad-4ca6-bc9a-af580feee6e8 · outbound
This paper cites Bestvina, M.
On the top-dimensional $\ell^2$-Betti numbers Bestvina, M
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.747403Z
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 6e552948-56e3-4b9d-9438-57e75bffcb3b · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.737079Z
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 5cd4d39b-1d25-4e54-9aff-92292f554a3f · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.727138Z
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 3cdc0715-fd3d-4107-bc4b-1bc7ead20f42 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.715795Z
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 c42a91fb-548a-46b2-8a20-d47f9474ff72 · outbound
This paper cites The Euler characteristic of $\operatorname{Out}(F_n)$.
On the top-dimensional $\ell^2$-Betti numbers The Euler characteristic of $\operatorname{Out}(F_n)$
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T05:21:49.317834Z
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 b4d9683f-cbfc-4a42-90a2-b8e52b82a3c9 · outbound
This paper cites Cheeger and M.
On the top-dimensional $\ell^2$-Betti numbers Cheeger and M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.705676Z
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 84885732-40ab-49a5-8071-0aa8b882dd0c · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.694145Z
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 347e052b-f1ee-4ab7-9de2-aea2a291f6dd · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.683074Z
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 9a0040b7-5f2c-48ce-a5ff-c19857c0c4d8 · outbound
This paper cites Culler and K.
On the top-dimensional $\ell^2$-Betti numbers Culler and K
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.673181Z
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 5b5b29fb-2b5c-43b8-95e9-a3db7d616b1c · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.662201Z
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 2f2ebc1c-1cbb-4c75-ac33-26fe0185969b · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.653696Z
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 652923d8-6331-4784-8b65-400d8b05f19a · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.644324Z
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 8e5a9802-ddc2-40e0-adf0-2b2476bb526f · outbound
This paper cites Eilenberg and T.
On the top-dimensional $\ell^2$-Betti numbers Eilenberg and T
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.633895Z
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 3b12770b-12f6-4031-a4dd-6d45f793dd1a · outbound
This paper cites Gaboriau.
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.623964Z
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 ae907654-01a7-49df-9231-bd8825b855c6 · outbound
This paper cites Gaboriau.
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.614235Z
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 d58ffeb7-7303-49f1-8694-d87fe668e9fa · outbound
This paper cites Gaboriau and R.
On the top-dimensional $\ell^2$-Betti numbers Gaboriau and R
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.604734Z
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 847ab0ec-410b-4a3c-90b8-892d3f8ad559 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.493097Z
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 639de0f2-f4a9-47bb-bef3-2083b6cd1851 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.483594Z
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 15e7e8fb-7713-4eac-a21e-cf3ac04c7d63 · outbound
This paper cites Kammeyer.
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.474482Z
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 f1b64276-70d4-427a-89ec-b037fa2ca6a1 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.464410Z
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 e827b2f6-7059-4b92-b41f-f0a075f0dabe · outbound
This paper cites Kleiner and J.
On the top-dimensional $\ell^2$-Betti numbers Kleiner and J
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.455272Z
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 ed89d310-b093-4528-a49f-dfffbd2377a7 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.447098Z
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 60fcada9-6b90-4f0d-8760-e56b723f9707 · outbound
This paper cites Lott and W.
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.439058Z
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 0e27cf12-c278-4ef7-aa9b-d86bc7eaf863 · outbound
This paper cites L \"u ck.
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.430189Z
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 09ae66fe-b6f2-4cdd-8596-a8597ba04b24 · outbound
This paper cites L \"u ck.
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.420914Z
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 e6c08f56-9471-40e1-a8be-edb424b8f788 · outbound
This paper cites L \"u ck.
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.411571Z
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 99e503a1-b22a-4cea-aa6c-3b7bd3aef175 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.401810Z
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 33164700-d598-454b-92cf-08afe25b558d · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.391633Z
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 378521a2-adb7-4d03-9791-598a1e6c6485 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.380481Z
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 7c8f1c9c-23fe-447b-9347-cca805398d38 · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.370160Z
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 8f3e598e-a300-4c14-8b7c-187ed3fd96d2 · outbound
This paper cites Ornstein and B.
On the top-dimensional $\ell^2$-Betti numbers Ornstein and B
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.358903Z
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 5263739c-6e0e-472f-a1fa-3f0f0d3aeda7 · outbound
This paper cites The entropy formula for the Ricci flow and its geometric applications.
On the top-dimensional $\ell^2$-Betti numbers The entropy formula for the Ricci flow and its geometric applications
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T05:21:49.249986Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e77a133-7259-420b-872e-5e5e91ef48e5 · outbound
This paper cites Ricci flow with surgery on three-manifolds.
On the top-dimensional $\ell^2$-Betti numbers Ricci flow with surgery on three-manifolds
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T05:21:49.253828Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53a1a144-6835-49be-a113-e98f736d185a · outbound
This paper cites an unresolved cited work.
On the top-dimensional $\ell^2$-Betti numbers Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T05:21:49.348822Z
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 b369b985-5497-4820-a20c-07e9ec1da4e1 · outbound
This paper cites Sauer and A.
On the top-dimensional $\ell^2$-Betti numbers Sauer and A
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.337967Z
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 698fe440-47ac-4333-a30e-d1aa4f4ffe51 · outbound
This paper cites Vogtmann.
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T05:21:49.327945Z
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.