Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:46:23.666173Z
Paper Citation Record · LEDGER
A Low-Dimensional Counterexample to the HK-Conjecture
As of 14 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2507.05425.
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, observed 2026-08-05T10:46:32.196152Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-05T10:46:32.798375Z
Reference resolution
32 of 32 outbound references displayed
- verified exact0
- verified fuzzy18
- unresolved14
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 02d78ff8-003a-41bc-895e-4c2927cb208e · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:29.849966Z
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 d9b63819-6028-484e-8284-bb561968187d · outbound
This paper cites 5, Cambridge University Press, Cambridge, 1998.
A Low-Dimensional Counterexample to the HK-Conjecture 5, Cambridge University Press, Cambridge, 1998
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:29.673574Z
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 3dab5232-b38d-497f-9c70-5732da887e42 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:29.382175Z
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 42f2720f-145a-42d8-81c3-5ef93c3e358c · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:29.203368Z
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 740f3d9f-d3c7-44b7-a453-d2646cd5cc2c · outbound
This paper cites thesis, Uni- versity of Colorado Boulder, 2024.
A Low-Dimensional Counterexample to the HK-Conjecture thesis, Uni- versity of Colorado Boulder, 2024
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:29.026228Z
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 48468a47-905d-4ed4-a6c3-436be4c3a942 · outbound
This paper cites Deeley, Annika Farhner, Jamal Giornozi, Robi Huq, Levi Lorenzo, Jos´ e Oyola-Cortes, Maggie Reardon, and Andrew M.
A Low-Dimensional Counterexample to the HK-Conjecture Deeley, Annika Farhner, Jamal Giornozi, Robi Huq, Levi Lorenzo, Jos´ e Oyola-Cortes, Maggie Reardon, and Andrew M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:28.716180Z
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 87682057-2272-4f71-ac78-8af099963ef3 · outbound
This paper cites Charlap, Bieberbach groups and flat manifolds, Universitext, Springer-Verlag, New York, 1986.
A Low-Dimensional Counterexample to the HK-Conjecture Charlap, Bieberbach groups and flat manifolds, Universitext, Springer-Verlag, New York, 1986
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:28.549175Z
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 93e8ac55-6b18-4a1b-8115-837af09499b5 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:28.394330Z
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 88078d64-92cf-451a-9806-e236f66654d2 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:28.179817Z
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 83871c22-ed66-4b16-b995-2c3e798e60b1 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:27.920677Z
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 47d52755-695c-4eda-8600-ff8201747f1f · outbound
This paper cites Deeley, A counterexample to the HK-conjecture that is principal , Ergodic Theory Dynam.
A Low-Dimensional Counterexample to the HK-Conjecture Deeley, A counterexample to the HK-conjecture that is principal , Ergodic Theory Dynam
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:27.747251Z
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 29c58f17-9f4b-4356-beb1-5f62d86277c6 · outbound
This paper cites Deeley and Karen R.
A Low-Dimensional Counterexample to the HK-Conjecture Deeley and Karen R
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:27.575541Z
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 60860ff6-ad50-4fe5-8d69-d87bb8d2e26c · outbound
This paper cites MR 227996.
A Low-Dimensional Counterexample to the HK-Conjecture MR 227996
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:27.398070Z
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 1cc09af1-bc36-4577-9f22-3b30e05d614f · outbound
This paper cites Math.12 (2019), no.
A Low-Dimensional Counterexample to the HK-Conjecture Math.12 (2019), no
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:27.250200Z
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 8e0848a6-dc49-43e8-bc1d-360b3fc0a6cf · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:27.101784Z
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 abadc763-8677-4cf5-aeba-3b0a38359cd5 · outbound
This paper cites MR 1867354.
A Low-Dimensional Counterexample to the HK-Conjecture MR 1867354
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:26.968559Z
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 28c66d0f-40f5-4b4f-b5f8-992594c1648f · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:26.797282Z
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 efe19659-cebe-45c7-aa8b-39bf83e8f1e6 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:26.626862Z
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 6d89a5da-2ce3-483d-8ea7-051e68085177 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:26.432345Z
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 233e4f30-7846-4326-b510-703b30037ee8 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:26.306174Z
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 a1e6b2b6-7788-48fe-8674-7492f394d76c · outbound
This paper cites Noncommut.
A Low-Dimensional Counterexample to the HK-Conjecture Noncommut
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:26.050732Z
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 c5308c4d-6041-43a2-9f4d-6c6ed2cb4760 · outbound
This paper cites Torsion-free ample groupoids, Ergodic Theory Dynam.
A Low-Dimensional Counterexample to the HK-Conjecture Torsion-free ample groupoids, Ergodic Theory Dynam
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:25.826739Z
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 02f017ce-b2d6-4f31-a102-b0719c7270fd · outbound
This paper cites Beyond stably disconnected Smale spaces, Trans.
A Low-Dimensional Counterexample to the HK-Conjecture Beyond stably disconnected Smale spaces, Trans
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:25.553705Z
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 e23699dc-c3f6-4cc1-a2ac-8dc4fde037d5 · outbound
This paper cites Further structural results on groupoid homology, Ergodic Theory Dynam.
A Low-Dimensional Counterexample to the HK-Conjecture Further structural results on groupoid homology, Ergodic Theory Dynam
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:25.367110Z
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 85bd8170-cfe1-4a9c-ac83-bd48251c02c5 · outbound
This paper cites Putnam, C∗-algebras from Smale spaces , Canad.
A Low-Dimensional Counterexample to the HK-Conjecture Putnam, C∗-algebras from Smale spaces , Canad
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:25.168215Z
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 8264b517-c130-4a11-a20a-5001ff2b9798 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:24.955067Z
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 614d3b44-13f0-44fd-8820-17929166c89c · outbound
This paper cites Putnam and Jack Spielberg, The structure of C∗-algebras associated with hyperbolic dynamical systems, J.
A Low-Dimensional Counterexample to the HK-Conjecture Putnam and Jack Spielberg, The structure of C∗-algebras associated with hyperbolic dynamical systems, J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:24.753790Z
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 e684b395-c575-40a8-87f6-634d6df72409 · outbound
This paper cites Roush, Transfer in generalized cohomology theories, Pure and Applied Mathematics (Budapest), Akad´ emiai Kiad´ o, Budapest, 1999.
A Low-Dimensional Counterexample to the HK-Conjecture Roush, Transfer in generalized cohomology theories, Pure and Applied Mathematics (Budapest), Akad´ emiai Kiad´ o, Budapest, 1999
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:24.551697Z
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 80343546-3841-44d6-ad09-39ceb91d5a6b · outbound
This paper cites Systems 40 (2020), no.
A Low-Dimensional Counterexample to the HK-Conjecture Systems 40 (2020), no
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:24.429320Z
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 1e1356d5-c830-49f7-9040-fab86f1da8df · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:24.311994Z
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 aa859b17-5faa-49fb-a0f4-02fad38c0c0e · outbound
This paper cites Systems 34 (2014), no.
A Low-Dimensional Counterexample to the HK-Conjecture Systems 34 (2014), no
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:46:24.106669Z
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 e42f727b-8d9e-48ca-bb4a-39ebf15c7020 · outbound
This paper cites an unresolved cited work.
A Low-Dimensional Counterexample to the HK-Conjecture Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:46:23.925366Z
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
Observation 3dcdffd1-3d86-464b-a675-7934b8721f09 · inbound
A trace pairing and Elliott invariant for groupoid homology cites this paper.
A trace pairing and Elliott invariant for groupoid homology A Low-Dimensional Counterexample to the HK-Conjecture
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T10:46:32.803161Z
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.