Paper Citation Record · LEDGER

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets

As of 7 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2405.03213.

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

pith.paper-citation-record.v1
2405.03213 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T01:50:32.062900Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy33
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b8eab5e5-3b16-4392-a33d-ee1018881cd6 · outbound

This paper cites Hausdorﬀ dimension of the limit sets of som e planar geometric constructions.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Hausdorﬀ dimension of the limit sets of som e planar geometric constructions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.381202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e72e2eb-7075-4907-a7ef-607519988e39 · outbound

This paper cites Non-uniqueness of ergodic meas ures with full Haus- dorﬀ dimensions on a Gatzouras-Lalley carpet.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Non-uniqueness of ergodic meas ures with full Haus- dorﬀ dimensions on a Gatzouras-Lalley carpet

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.378775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 904db859-5cc1-47c4-b467-4634ee551440 · outbound

This paper cites Barreira.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Barreira

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.375854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b43d1964-1798-423b-bf7f-2b8aae25baf5 · outbound

This paper cites Crinkly curves, markov partitions and dimension.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Crinkly curves, markov partitions and dimension

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.373288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3f6727b4-a77c-4002-9584-13acbf74536c · outbound

This paper cites A course in probability theory.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets A course in probability theory

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.370196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2bc9463d-9910-4412-af0f-058e38049e82 · outbound

This paper cites The Hausdorﬀ and dynamical dimen sions of self- aﬃne sponges: a dimension gap result.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets The Hausdorﬀ and dynamical dimen sions of self- aﬃne sponges: a dimension gap result

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.367208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 36675c5e-ab1b-436c-919b-92b7f4700550 · outbound

This paper cites Probability—theory and examples , volume 49 of Cambridge Series in Statistical and Probabilistic Mathematics.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Probability—theory and examples , volume 49 of Cambridge Series in Statistical and Probabilistic Mathematics

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.364503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a487b6c6-3335-47c2-894e-4c28e46e7ad8 · outbound

This paper cites Falconer.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Falconer

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.361772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a89566af-8b7c-42de-8ad2-412101918877 · outbound

This paper cites Falconer.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Falconer

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.358855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ec8cafad-38f7-4811-b0fa-c5e62bad90b3 · outbound

This paper cites Falconer.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Falconer

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.356078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9f1f9936-673c-4833-9bc4-71703ef2c08e · outbound

This paper cites Falconer.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Falconer

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.353498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91c2cd21-dfb9-4fde-ab61-b97c4e060107 · outbound

This paper cites Equilibrium states for factor maps between subs hifts.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Equilibrium states for factor maps between subs hifts

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.351133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation afd61ba2-b0e1-495e-b406-86e17ee27b28 · outbound

This paper cites Uniformity of Ly apunov exponents for non-invertible matrices.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Uniformity of Ly apunov exponents for non-invertible matrices

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.348473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b9350a16-c95a-4081-a867-a7331396f006 · outbound

This paper cites A class of self-aﬃne sets and self- aﬃne measures.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets A class of self-aﬃne sets and self- aﬃne measures

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.345623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2ecf5e2e-0524-42c7-825c-43872a87317c · outbound

This paper cites an unresolved cited work.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-24T01:55:56.342585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 60273d96-41e6-4615-b554-e4727afe67bc · outbound

This paper cites Disjointness in ergodic theory, minimal se ts, and a problem in Diophantine approximation.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Disjointness in ergodic theory, minimal se ts, and a problem in Diophantine approximation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.339979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d22f6c8f-568f-46f8-b081-a32f0be9b7cf · outbound

This paper cites The variational principle f or Hausdorﬀ di- mension: a survey.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets The variational principle f or Hausdorﬀ di- mension: a survey

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.336992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7002980a-1bd7-47d6-9b08-a0dec9098025 · outbound

This paper cites Invariant measures of f ull dimension for some expanding maps.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Invariant measures of f ull dimension for some expanding maps

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.328967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 15753227-11a0-4e3c-9a7a-0800398c921d · outbound

This paper cites Nonexistence of the box dimension for dynamically invariant sets.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Nonexistence of the box dimension for dynamically invariant sets

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.326224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cc922231-1a6e-4b14-98ef-4c5ae8bc652f · outbound

This paper cites Dimension and measu res on sub-self- aﬃne sets.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Dimension and measu res on sub-self- aﬃne sets

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.323206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1e6d34b4-ab9a-4406-a0c7-ed3c6f340281 · outbound

This paper cites Hausdorﬀ dimensions of soﬁc aﬃne-invariant sets.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Hausdorﬀ dimensions of soﬁc aﬃne-invariant sets

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.320647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e864406-8fd5-4e05-bd90-4463b70e369e · outbound

This paper cites Measures of full dimension on aﬃne-invariant sets.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Measures of full dimension on aﬃne-invariant sets

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.317880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3005b1b5-f0d1-49fe-a932-aad0ad52bc6b · outbound

This paper cites an unresolved cited work.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-05-24T01:55:56.315578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 28254731-a9cf-4eb3-8f0a-ca0d96fbc32d · outbound

This paper cites TheLq spectrum of self-aﬃne measures on sponges.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets TheLq spectrum of self-aﬃne measures on sponges

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.309493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c94591e-0dcf-4eee-82ba-e8ce80615877 · outbound

This paper cites Lalley and Dimitrios Gatzouras.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Lalley and Dimitrios Gatzouras

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.306620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ae01f02-664d-4b6f-b7e9-cda49372217b · outbound

This paper cites Measure of full dimension for some nonconformal r epellers.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Measure of full dimension for some nonconformal r epellers

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.302583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c0769ffa-cb49-4ad8-9cf6-333aabd76ab6 · outbound

This paper cites Geometry of sets and measures in Euclidean spaces: Fractals and rectiﬁability, volume 44 of Cambridge Studies in Advanced Mathematics.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Geometry of sets and measures in Euclidean spaces: Fractals and rectiﬁability, volume 44 of Cambridge Studies in Advanced Mathematics

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.299621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aba524ad-ff42-480c-b27b-6504bd8b8c8b · outbound

This paper cites The Hausdorﬀ dimension of general Sierpi´ nski carpets.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets The Hausdorﬀ dimension of general Sierpi´ nski carpets

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.296108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 38eb1612-3239-4343-b798-f86e816a88fd · outbound

This paper cites Uniqueness of the measure with full dimension on soﬁc aﬃne-invariant subsets of the 2-torus.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Uniqueness of the measure with full dimension on soﬁc aﬃne-invariant subsets of the 2-torus

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.293659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d572fe0a-76db-483a-b569-7269be6a8111 · outbound

This paper cites Self-aﬃne multifractal Sierpinski sponges in Rd.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Self-aﬃne multifractal Sierpinski sponges in Rd

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.290278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8c889cb-eb0d-4d68-82bf-97682ffc46f2 · outbound

This paper cites Intrinsic Markov chains.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Intrinsic Markov chains

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.287855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e845206b-c7af-4eaf-9002-9a0cec4a73ac · outbound

This paper cites The packing measure of self-aﬃne carpets.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets The packing measure of self-aﬃne carpets

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.283340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b7366cd5-0312-4358-90cd-eec8d6b0137d · outbound

This paper cites The self-aﬃne carpets of McMullen and Bedford h ave inﬁnite Hausdorﬀ measure.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets The self-aﬃne carpets of McMullen and Bedford h ave inﬁnite Hausdorﬀ measure

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.277790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46ede0de-c735-4131-877b-35130749a3a8 · outbound

This paper cites Measures of maximal dimension for linear horseshoes.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Measures of maximal dimension for linear horseshoes

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.274562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 597970a5-f849-468a-a3df-c85eeb18dbb5 · outbound

This paper cites an unresolved cited work.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-05-24T01:55:56.271913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c59f033a-f0e7-43d9-9632-d47012165e9b · outbound

This paper cites An introduction to ergodic theory , volume 79 of Graduate Texts in Mathematics.

On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets An introduction to ergodic theory , volume 79 of Graduate Texts in Mathematics

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-24T01:55:56.269138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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