Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:05:52.103691Z
Paper Citation Record · LEDGER
On the packing dimension of unions and extensions of $k$-planes
As of 19 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2508.18257.
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 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T23:20:52.848189Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T05:10:54.642520Z
Reference resolution
38 of 38 outbound references displayed
- verified exact4
- verified fuzzy17
- unresolved17
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 87c6cb8d-f550-4e01-93ea-76733f943cdb · outbound
This paper cites 1, 1 – 13.
On the packing dimension of unions and extensions of $k$-planes 1, 1 – 13
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.700781Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4a5ab3bc-11b5-4699-9d2b-b1a4dc1ee83b · outbound
This paper cites 2, 147–187.
On the packing dimension of unions and extensions of $k$-planes 2, 147–187
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.688597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 26610ddb-2dcb-449c-80c9-ab76c094116c · outbound
This paper cites Spread Furstenberg Sets.
On the packing dimension of unions and extensions of $k$-planes Spread Furstenberg Sets
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:05:52.341399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 477691e0-4fa8-4b37-8bfd-b00434cb9b7f · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.676320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1c00743a-97f7-4de2-9adc-1673cc435de9 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.664403Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation c943ca22-e5ba-4dbd-92e8-f1bf1fbef8e3 · outbound
This paper cites Lutz, Mutual dimension , ACM Trans.
On the packing dimension of unions and extensions of $k$-planes Lutz, Mutual dimension , ACM Trans
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.651998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation a826389b-1170-45fc-8449-99ab345461bc · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.640143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation da11d8dc-aa13-486d-9772-fefdc0674db9 · outbound
This paper cites Downey and Denis R.
On the packing dimension of unions and extensions of $k$-planes Downey and Denis R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.627973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 145fe24f-22e7-4ac8-8cb6-465300219ddd · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.616196Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6c516916-0eab-41d8-8914-4dc883253276 · outbound
This paper cites Falconer and Pertti Mattila, Strong marstrand theorems and dimensions of sets formed by subsets of hyperplanes , J.
On the packing dimension of unions and extensions of $k$-planes Falconer and Pertti Mattila, Strong marstrand theorems and dimensions of sets formed by subsets of hyperplanes , J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.604005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d522ce5e-ed82-4829-8a3e-d24844ed7815 · outbound
This paper cites On variants of the Furstenberg set problem.
On the packing dimension of unions and extensions of $k$-planes On variants of the Furstenberg set problem
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:05:52.323116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 56a4a3f0-8b9a-490f-a3fa-444247ef0b4c · outbound
This paper cites Hausdorff dimension of unions of $k$-planes.
On the packing dimension of unions and extensions of $k$-planes Hausdorff dimension of unions of $k$-planes
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:05:52.305041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1f0007ba-b4c8-4eec-b1a0-ca417b848128 · outbound
This paper cites 10, 3445–3456.
On the packing dimension of unions and extensions of $k$-planes 10, 3445–3456
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.591877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9f78198d-6905-4ff8-9c38-508b03dd1683 · outbound
This paper cites Fractal Geom.
On the packing dimension of unions and extensions of $k$-planes Fractal Geom
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.580013Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 781db49b-4f20-45c0-b3b0-3f3c61359560 · outbound
This paper cites 2, 903–923.
On the packing dimension of unions and extensions of $k$-planes 2, 903–923
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.567712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 0d2ba498-6a36-4b3f-945c-972aae182b78 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.554948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f3c67b0c-d956-4e0e-bcb1-5d5a46883214 · outbound
This paper cites Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements.
On the packing dimension of unions and extensions of $k$-planes Equivalences between different forms of the Kakeya conjecture and duality of Hausdorff and packing dimensions for additive complements
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:05:52.019833Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d11f63c-1103-4d43-842f-92bbfb9a5913 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.542833Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7937f653-d727-4a21-a5bb-daf4218bfaf7 · outbound
This paper cites Simpler Grassmannian optimization.
On the packing dimension of unions and extensions of $k$-planes Simpler Grassmannian optimization
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:05:52.272332Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 4c84a6e7-a4d6-432b-9a99-811e47268422 · outbound
This paper cites Lutz, Dimension in complexity classes, SIAM J.
On the packing dimension of unions and extensions of $k$-planes Lutz, Dimension in complexity classes, SIAM J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.530639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 666574a0-9721-46d0-8ba2-c9a655dda2b3 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.518189Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1363c9dc-feed-48dd-8e09-40a2bbace9f4 · outbound
This paper cites Lutz and Neil Lutz, Algorithmic information, plane Kakeya sets, and conditional dimension, ACM Trans.
On the packing dimension of unions and extensions of $k$-planes Lutz and Neil Lutz, Algorithmic information, plane Kakeya sets, and conditional dimension, ACM Trans
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.505999Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 94d2e98e-0f7a-4699-a789-b92de2cb2658 · outbound
This paper cites Lutz, Neil Lutz, and Elvira Mayordomo, Extending the reach of the point-to-set principle, Information and Computation 294 (2023), 105078.
On the packing dimension of unions and extensions of $k$-planes Lutz, Neil Lutz, and Elvira Mayordomo, Extending the reach of the point-to-set principle, Information and Computation 294 (2023), 105078
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.493136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ed7bd99d-98d8-4617-aba2-8b7a4efe77e8 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.480582Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 05558d57-2eb9-42f1-9b80-780c785aa5e1 · outbound
This paper cites Stull, Bounding the dimension of points on a line , Inform.
On the packing dimension of unions and extensions of $k$-planes Stull, Bounding the dimension of points on a line , Inform
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.468349Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6277752c-d9a1-425b-a0c3-82663be997ae · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.455451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d6958895-441c-404e-a2a1-9d62bc879ba8 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.443233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 2d1d588f-eb4e-410a-9623-43b648fffcdd · outbound
This paper cites 4, 1265–1274.
On the packing dimension of unions and extensions of $k$-planes 4, 1265–1274
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.430989Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 793e10ea-7ba4-42b6-8b16-e77c1f56de0f · outbound
This paper cites 1, 331–342.
On the packing dimension of unions and extensions of $k$-planes 1, 331–342
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.418741Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ab1462e5-4926-41f8-b18d-1c12c0decbd8 · outbound
This paper cites 1, 87–97.
On the packing dimension of unions and extensions of $k$-planes 1, 87–97
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.405330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1b7f22ae-44ba-4ba7-a969-18b6f7822614 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.393214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b629751d-ab59-44d2-8ab9-898154be276d · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:05:52.079924Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0bbc03d6-309a-4308-a4a2-d669555bdd02 · outbound
This paper cites Furstenberg sets estimate in the plane.
On the packing dimension of unions and extensions of $k$-planes Furstenberg sets estimate in the plane
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:05:52.083626Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b58b4219-8b33-4533-98ee-02d2ddf79295 · outbound
This paper cites Pinned Distance Sets Using Effective Dimension.
On the packing dimension of unions and extensions of $k$-planes Pinned Distance Sets Using Effective Dimension
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:05:52.087979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ad9f4e9-002b-4768-8e53-cd55c6730835 · outbound
This paper cites Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions.
On the packing dimension of unions and extensions of $k$-planes Volume estimates for unions of convex sets, and the Kakeya set conjecture in three dimensions
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:05:52.091965Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5aa5c39d-8cb7-40bd-88d3-df55679321f7 · outbound
This paper cites an unresolved cited work.
On the packing dimension of unions and extensions of $k$-planes Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T17:05:52.380652Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 1c16173f-40d2-46c0-8762-2269a895cf2b · outbound
This paper cites Wolff, Recent work connected with the kakeya problem, Prospects in mathematics: invited talks on the occasion of the 250th anniversary of Princeton University, 1999.
On the packing dimension of unions and extensions of $k$-planes Wolff, Recent work connected with the kakeya problem, Prospects in mathematics: invited talks on the occasion of the 250th anniversary of Princeton University, 1999
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.367807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation f631c600-c22e-447f-a670-9a8e424bcd0c · outbound
This paper cites 2, 473–481.
On the packing dimension of unions and extensions of $k$-planes 2, 473–481
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:05:52.354283Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
Observation a583ad77-4714-418d-9af9-0d09938836b0 · inbound
Projections of sets with optimal oracles onto $k$-planes cites this paper.
Projections of sets with optimal oracles onto $k$-planes On the packing dimension of unions and extensions of $k$-planes
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T05:10:54.644499Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 6cac9c6f-d7da-4df1-81dc-7f952c65817c · inbound
The Endpoint Cardinality of Discrete Cube Skeleta cites this paper.
The Endpoint Cardinality of Discrete Cube Skeleta On the packing dimension of unions and extensions of $k$-planes
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T23:20:52.848189Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.