Paper Citation Record · LEDGER

Algorithmic Information Bounds for Distances and Orthogonal Projections

As of 22 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2509.05211.

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

pith.paper-citation-record.v1
2509.05211 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:39:00.993191Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T18:17:27.861220Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T05:10:54.652660Z

Reference resolution

37 of 37 outbound references displayed

verified exact13
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier4
metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0d39dbca-8c69-4aeb-97c6-c0b797a7a5f3 · outbound

This paper cites Distance sets bounds for polyhedral norms via effective dimension.

Algorithmic Information Bounds for Distances and Orthogonal Projections Distance sets bounds for polyhedral norms via effective dimension

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:39:05.250439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cd76edc2-a874-4416-8f7a-2be041707d6f · outbound

This paper cites The discretized sum-product and projection theorems.J.

Algorithmic Information Bounds for Distances and Orthogonal Projections The discretized sum-product and projection theorems.J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:56.857275Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d84d584-3a9e-4378-a927-0798894116bf · outbound

This paper cites Bounds on the dimension of lineal extensions.

Algorithmic Information Bounds for Distances and Orthogonal Projections Bounds on the dimension of lineal extensions

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:39:05.097327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation acb827e6-5a15-4fdb-b32e-73c48c2d892b · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:57.198158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e287224-fda0-4620-af1b-c1a029810b5a · outbound

This paper cites Bounding the dimension of exceptional sets for orthogonal projections.

Algorithmic Information Bounds for Distances and Orthogonal Projections Bounding the dimension of exceptional sets for orthogonal projections

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:39:04.868392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50b4818e-c4e6-4410-9c96-1294026d39bf · outbound

This paper cites Improved bounds for radial projections in the plane.

Algorithmic Information Bounds for Distances and Orthogonal Projections Improved bounds for radial projections in the plane

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:57.399533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 648ed0f9-6dbf-4fab-8c13-f1a988d7bfd7 · outbound

This paper cites Dimension of Pinned Distance Sets for Semi-Regular Sets.

Algorithmic Information Bounds for Distances and Orthogonal Projections Dimension of Pinned Distance Sets for Semi-Regular Sets

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:57.475744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2881629-06f2-481c-a1fd-35b45813b793 · outbound

This paper cites Pinned distances of planar sets with low dimension.

Algorithmic Information Bounds for Distances and Orthogonal Projections Pinned distances of planar sets with low dimension

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:57.533107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6161fcd3-8956-44a3-bd1b-28834103a91e · outbound

This paper cites Universal Sets for Projections.

Algorithmic Information Bounds for Distances and Orthogonal Projections Universal Sets for Projections

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:57.682445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cf8594f-9099-4335-9f7b-54293a1d86cf · outbound

This paper cites On Hausdorff dimension of projections.Mathematika, 15:153–155, 1968.

Algorithmic Information Bounds for Distances and Orthogonal Projections On Hausdorff dimension of projections.Mathematika, 15:153–155, 1968

Reference 10

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T05:39:06.112010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 715c0e51-b072-473d-abec-7ac31f80b2e6 · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:57.941582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 364f7d72-ffd6-4868-ba49-3728e079813e · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:58.039132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 689feae8-7404-4796-9e8c-0f0a987739d2 · outbound

This paper cites Lutz and Neil Lutz.

Algorithmic Information Bounds for Distances and Orthogonal Projections Lutz and Neil Lutz

Reference 13

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T05:39:05.885104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 17e55490-9af4-418b-984d-f70f54beb84a · outbound

This paper cites Lutz and Neil Lutz.

Algorithmic Information Bounds for Distances and Orthogonal Projections Lutz and Neil Lutz

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:58.296249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 804e562e-e7dd-40bb-ad78-f96184c9861e · outbound

This paper cites Lutz, Neil Lutz, and Elvira Mayordomo.

Algorithmic Information Bounds for Distances and Orthogonal Projections Lutz, Neil Lutz, and Elvira Mayordomo

Reference 15

Resolution: verified exact; doi, observed 2026-08-05T05:39:02.617697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e44c749-b5fd-4daf-aa88-e03c726425f3 · outbound

This paper cites Lutz, Neil Lutz, and Elvira Mayordomo.

Algorithmic Information Bounds for Distances and Orthogonal Projections Lutz, Neil Lutz, and Elvira Mayordomo

Reference 16

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T05:39:04.683265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 60708b12-a5e4-4ca1-aa25-8913d83ce861 · outbound

This paper cites Lutz, Renrui Qi, and Liang Yu.

Algorithmic Information Bounds for Distances and Orthogonal Projections Lutz, Renrui Qi, and Liang Yu

Reference 17

Resolution: verified exact; doi, observed 2026-08-05T05:39:02.313239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e64d985-16c7-4ac9-9e08-9ef317d7b7a0 · outbound

This paper cites Fractal intersections and products via algorithmic dimension.ACM Transactions on Computation Theory, 13(3), August 2021.doi:10.1145/3460948.

Algorithmic Information Bounds for Distances and Orthogonal Projections Fractal intersections and products via algorithmic dimension.ACM Transactions on Computation Theory, 13(3), August 2021.doi:10.1145/3460948

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:58.880168Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f3359a5-270f-4653-b9d9-6f819bf6e17d · outbound

This paper cites Lineal extensions of Kakeya sets missing every ee-random point, 2025.arXiv:2507.05475.

Algorithmic Information Bounds for Distances and Orthogonal Projections Lineal extensions of Kakeya sets missing every ee-random point, 2025.arXiv:2507.05475

Reference 19

Resolution: verified exact; raw_fallback, observed 2026-08-05T05:39:04.483024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 306cec9c-e54c-4e9c-9615-093d29e1de6a · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 20

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T05:39:04.187444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23cfda14-177e-4ed6-91db-29b38e5df238 · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 21

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T05:39:05.642678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f5fb4c5f-8df9-470a-a4bd-1ea9be4d3de7 · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 22

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T05:39:03.981557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28ffc90a-75ea-4340-b71b-fe448da8f8b5 · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:59.632526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a7242cc-4077-4495-94ba-554293dda728 · outbound

This paper cites Cambridge University Press, 1999.doi:10.1017/CBO9780511623813.

Algorithmic Information Bounds for Distances and Orthogonal Projections Cambridge University Press, 1999.doi:10.1017/CBO9780511623813

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-05T05:38:59.753675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ee45b83-3c06-4a9a-9b46-efefb10e5915 · outbound

This paper cites Hausdorff dimension, projections, intersections, and Besicovitch sets.

Algorithmic Information Bounds for Distances and Orthogonal Projections Hausdorff dimension, projections, intersections, and Besicovitch sets

Reference 25

Resolution: verified exact; doi, observed 2026-08-05T05:39:01.997532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b19cd67-edb4-47b4-8573-3bdfb88e4bb5 · outbound

This paper cites Mayordomo.

Algorithmic Information Bounds for Distances and Orthogonal Projections Mayordomo

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-05T05:39:00.009549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d80c4214-6cb9-41f8-8147-c8b2ce371650 · outbound

This paper cites A point to set principle for finite-state dimension.

Algorithmic Information Bounds for Distances and Orthogonal Projections A point to set principle for finite-state dimension

Reference 27

Resolution: verified exact; doi, observed 2026-08-05T05:39:01.712119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb11fb92-bf32-4554-b670-b8f135de8da1 · outbound

This paper cites Fractal dimensions and profinite groups, 2025.arXiv:2502.09995.

Algorithmic Information Bounds for Distances and Orthogonal Projections Fractal dimensions and profinite groups, 2025.arXiv:2502.09995

Reference 28

Resolution: verified exact; raw_fallback, observed 2026-08-05T05:39:03.696565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ad8b148a-d2c1-4f60-beab-95a05ce7a20e · outbound

This paper cites Point-to-set principle and constructive dimension faithfulness.

Algorithmic Information Bounds for Distances and Orthogonal Projections Point-to-set principle and constructive dimension faithfulness

Reference 29

Resolution: malformed identifier; raw_fallback, observed 2026-08-05T05:39:05.438176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dbc31ff1-379e-4e3b-b6ca-dca811eacac2 · outbound

This paper cites Furstenberg sets estimate in the plane.

Algorithmic Information Bounds for Distances and Orthogonal Projections Furstenberg sets estimate in the plane

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T05:39:00.439037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 068f2e2d-f2de-4587-ad8b-9cdff5d51d98 · outbound

This paper cites Inequalities for entropies and dimensions.

Algorithmic Information Bounds for Distances and Orthogonal Projections Inequalities for entropies and dimensions

Reference 31

Resolution: verified exact; doi, observed 2026-08-05T05:39:01.443361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5b0b48c8-27cd-4e65-bd05-1517484494cc · outbound

This paper cites A non-linear version of Bourgain’s projection theorem: Dedicated to the memory of Jean Bourgain.

Algorithmic Information Bounds for Distances and Orthogonal Projections A non-linear version of Bourgain’s projection theorem: Dedicated to the memory of Jean Bourgain

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-05T05:39:00.630191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b17582c-c3f9-455d-b999-3640221bd817 · outbound

This paper cites On the distance sets spanned by sets of dimension $d/2$ in $\mathbb{R}^d$.

Algorithmic Information Bounds for Distances and Orthogonal Projections On the distance sets spanned by sets of dimension $d/2$ in $\mathbb{R}^d$

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:39:03.283059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c5cce01d-f9a0-4df3-ad32-6648f11a781e · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 34

Resolution: verified exact; doi, observed 2026-08-05T05:39:01.200373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 69501a16-36db-4996-989b-b64a4e395891 · outbound

This paper cites Pinned Distance Sets Using Effective Dimension.

Algorithmic Information Bounds for Distances and Orthogonal Projections Pinned Distance Sets Using Effective Dimension

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T05:39:00.848630Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5b2e548-83a2-4c9f-9734-ae980e9fda72 · outbound

This paper cites an unresolved cited work.

Algorithmic Information Bounds for Distances and Orthogonal Projections Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T05:39:00.926321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c9ef757-efe6-43f9-a931-637ef3651585 · outbound

This paper cites A Kakeya-type problem for circles.American Journal of Mathematics, 119(5):985–1026, 1997.

Algorithmic Information Bounds for Distances and Orthogonal Projections A Kakeya-type problem for circles.American Journal of Mathematics, 119(5):985–1026, 1997

Reference 37

Resolution: verified exact; raw_fallback, observed 2026-08-05T05:39:03.038360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation b0848f98-80e0-4277-a0e9-552df3925d98 · inbound

Projections of sets with optimal oracles onto $k$-planes cites this paper.

Projections of sets with optimal oracles onto $k$-planes Algorithmic Information Bounds for Distances and Orthogonal Projections

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-14T01:20:45.848332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.