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Paper Citation Record · LEDGER

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.15407.

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

pith.paper-citation-record.v1
2411.15407 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:43:40.252441Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8078c67d-cf44-4743-81df-cf7c6b6d96d0 · outbound

This paper cites Bara´ nski, Hausdorff dimension of the limit sets of some planar geometric constructions, Adv.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Bara´ nski, Hausdorff dimension of the limit sets of some planar geometric constructions, Adv

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:41.152470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.440403Z digest=sha256:cdd9e47201a80ae2a91985a47d392f1a5c8c2f065308c1f58b9662ea7a080ca4

Observation 7181ae18-77ce-46c4-bf8e-006cf90eede7 · outbound

This paper cites Bedford, Crinkly curves, Markov partitions and box dimensions in self-similar sets, Ph.D.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Bedford, Crinkly curves, Markov partitions and box dimensions in self-similar sets, Ph.D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:41.144116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.467131Z digest=sha256:a81a50d6061d3451ae2044d2ea4d54ca95b0ee06c143188784352d81d68a0487

Observation c0511bde-29e1-47ac-b6ac-2886792094cc · outbound

This paper cites Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Bowen, Entropy for group endomorphisms and homogeneous spaces, Trans

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:41.135565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.496352Z digest=sha256:72e8fcf3dcab62578cb4ac8d3ef99b9c5997044359c501752e94c0568aceba8b

Observation 02d91527-bbd9-4359-95c6-29ab05f654e4 · outbound

This paper cites Das and S.-M.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Das and S.-M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:41.126406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.537908Z digest=sha256:20f79ac815a9f7e7c3c8cb02cf1985cd3c65fea7393753d7223e007144bef412

Observation d823962f-c697-4da1-a12d-14081954c448 · outbound

This paper cites an unresolved cited work.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:39.585427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:39.585427Z digest=sha256:262b2d46d55ef082b2a3068a508cc38a0d161a86b8b55202337177bf302b663c

Observation d0c02f27-f129-4cd1-ba2c-7db696ee1a70 · outbound

This paper cites Falconer, Fractal geometry, Mathematical foundations and applications, Third edition, John Wiley & Sons, Ltd., Chichester, 2014.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Falconer, Fractal geometry, Mathematical foundations and applications, Third edition, John Wiley & Sons, Ltd., Chichester, 2014

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:41.112579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.623377Z digest=sha256:38df10614aedfa5c86284e08969c591d2e4a6aa8513c4ab5f4390e1c96b0d640

Observation 9328b98a-2845-4b59-8b5a-1daac95dc499 · outbound

This paper cites Feng and Y.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Feng and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:41.045475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.672272Z digest=sha256:3d42ab51afe39b7389aa024b66bb826eb2e2dfe3088c87d2c40e3f08dcef0c3d

Observation 6da0d064-0b76-4ce1-b166-06f4dbd45177 · outbound

This paper cites On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets On the coincidence of the Hausdorff and box dimensions for some affine-invariant sets

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:39.713502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:39.713502Z digest=sha256:5b71bd9d49d9538e30f3e42e22da61991e06b8697a2247d1391ce942a530e19b

Observation 880026e5-1b22-4846-90af-2d4a2ef2d09b · outbound

This paper cites Fraser, On the packing dimension of box-like self-affine sets in the plane, Nonlinearity, 25 (2012), no.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Fraser, On the packing dimension of box-like self-affine sets in the plane, Nonlinearity, 25 (2012), no

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.977192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.742069Z digest=sha256:dc6f6ccf87d6b283f82677a02cc03705faa59dc874a4939e8b49300223f90257

Observation b30afadf-283f-450d-bbda-3f6d72838740 · outbound

This paper cites Fraser, Assouad type dimensions and homogeneity of fractals, Trans.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Fraser, Assouad type dimensions and homogeneity of fractals, Trans

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.909901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.789867Z digest=sha256:a976778df727d76ac8636c0ca15356ee20fedbf34b7b6b163d2e0ec6bbcba135

Observation 9387fd3b-65c1-4dd4-9971-3bddcf375342 · outbound

This paper cites Fraser, On the Lq-spectrum of planar self-affine measures, Trans.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Fraser, On the Lq-spectrum of planar self-affine measures, Trans

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.843073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.851697Z digest=sha256:9f3b37b51fd9dc9eb95c80cf9fed2af7527c268b178bced63afd9468f871d4dd

Observation 9604875a-a08d-4ba1-8750-e3349ef33bea · outbound

This paper cites Fraser, Assouad dimension and fractal geometry, Cambridge Tracts in Math., 222 Cambridge Uni- versity Press, Cambridge, 2021.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Fraser, Assouad dimension and fractal geometry, Cambridge Tracts in Math., 222 Cambridge Uni- versity Press, Cambridge, 2021

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.767504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.890267Z digest=sha256:81ddacf68dd7bd061e15a2ff6a2dfb6d2243c02899e002ec4280ae00bf3724c7

Observation dad87e9f-630a-4062-a90a-0d5a7da10736 · outbound

This paper cites Fraser and N.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Fraser and N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.719663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.933196Z digest=sha256:0b5850873c9426c847db50ad5537aa7a928abd6827583884f13c16298fdbd009

Observation 2e095f02-34d5-43e7-a517-e998e360fe0c · outbound

This paper cites Fraser and N.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Fraser and N

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.653717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:39.989366Z digest=sha256:9b283b56b4c9d74185ddf73225ab88cb52d9f64e810dca7f6608e382eb074555

Observation 5d74b79a-76db-40a1-8b9b-747c29c8ad1d · outbound

This paper cites Kenyon and Y.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Kenyon and Y

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.572006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:40.025913Z digest=sha256:471072e4269f64fb8212c28faa3184be98535ff2239f3229f463ac6c21a19cbe

Observation 1e8b6635-2cab-4d22-9a33-2860fcbf36ac · outbound

This paper cites Kolossv´ ary,The Lq spectrum of self-affine measures on sponges, J.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Kolossv´ ary,The Lq spectrum of self-affine measures on sponges, J

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:40.059184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:40.059184Z digest=sha256:d965278d2263400e8e62224723f156ac9e791db404129d3c29b5b3f50d7c9af6

Observation ddd40539-8c9e-4197-af52-473be31f3707 · outbound

This paper cites Lalley and D.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Lalley and D

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.515826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:40.091351Z digest=sha256:7b7fdf3b81fef282248a217005ee97d6b54cb2196900868b6a7552cca65c925b

Observation 281802af-f09c-4cfe-9caf-b23f3c134636 · outbound

This paper cites Larman, A new theory of dimension, Proc.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Larman, A new theory of dimension, Proc

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:40.106446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:40.106446Z digest=sha256:a0b61d162b98fe41b7018a991fb62f1ae4638325f1946ace6259246438358546

Observation f6692c13-76ce-4238-ad97-f696c71f1ab2 · outbound

This paper cites Ledrappier and P.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Ledrappier and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.457999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:40.132613Z digest=sha256:acda6ff15c4e284c061e7cabb8c19c764a329291170da8936a9cb182dc135ad8

Observation dbb3ecc3-a225-41bd-a73d-074a65daa45d · outbound

This paper cites Mackay, Assouad dimension of self-affine carpets, Conform.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Mackay, Assouad dimension of self-affine carpets, Conform

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:40.168177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:40.168177Z digest=sha256:943e1348c68e94919a5b801e6f9f5fb4275c269c044c4442b01a3896a7e553ec

Observation 457f51e2-8195-48de-833a-f55e0e6a942c · outbound

This paper cites McMullen, The Hausdorff dimension of general Sierpi´ nski carpets,Nagoya Math.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets McMullen, The Hausdorff dimension of general Sierpi´ nski carpets,Nagoya Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.400184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:40.201317Z digest=sha256:e7d9acd632930dc4b16d5764af53c4393d7fd79ddc18c73862a48c4c6f112a53

Observation f78ecbde-bd3c-43d2-976a-290946805452 · outbound

This paper cites Olsen, Self-affine multifractal Sierpinski sponges in Rd, Pacific J.

Assouad and lower dimensions of graph-directed Bedford-McMullen carpets Olsen, Self-affine multifractal Sierpinski sponges in Rd, Pacific J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:40.345090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T14:43:40.252441Z digest=sha256:7344970c1e622deaf0f02a6c993a762542742bee7b37560e6b349165df8eb10f

Pith citing papers

No inbound Pith citation observations are available.