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Paper Citation Record · LEDGER

Assouad dimension of the Takagi function

As of 13 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2502.01140.

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

pith.paper-citation-record.v1
2502.01140 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T16:40:32.823893Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:31:36.080021Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T05:31:36.200285Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9c80d187-675d-4511-808f-93e0d43cdf14 · outbound

This paper cites Allaart and K.

Assouad dimension of the Takagi function Allaart and K

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:33.029015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.757141Z digest=sha256:7d0a00f36ad8f51fb502177b521c5dd37f4bb7f2dd4940dca237c557f55e41f8

Observation 6eb1bb20-b5bd-4f46-b555-1c1f993c0109 · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:33.021121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.761049Z digest=sha256:0e86490257c60f58f149c712ea079fa34a7ce0b7f69079b52f59bfda340730bb

Observation c2bced61-c1f7-4bfa-8e7a-28289d693c7d · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:33.013211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.764028Z digest=sha256:6dc04a9048eb1f373ab3f73077ac710a9290eb1bbcccb1ac83fc483b1c45dfab

Observation 3d16ae00-83a1-4f50-add6-6359db9569d7 · outbound

This paper cites Anttila, B.

Assouad dimension of the Takagi function Anttila, B

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:33.005692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.767119Z digest=sha256:f2628b3615bc031729bdbd0a5cc92f29d35ac92f8977c83a5b2d8e0af1be216f

Observation ae1fa696-dc4b-4e20-973a-d4b2c6834115 · outbound

This paper cites Bara´ nski.Dimension of the graphs of the Weierstrass-type functions.

Assouad dimension of the Takagi function Bara´ nski.Dimension of the graphs of the Weierstrass-type functions

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.997313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.770431Z digest=sha256:40b7045e78b1cdf9047469c64385117954ffbd1fca52ea11dcd14eea3839b24e

Observation 8d76e59d-77f4-46fa-bed3-9c194b01fdc0 · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.988843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.773834Z digest=sha256:0a177abba6f88ffc65aac60bdf517ec945ad5b006a01a805d1ab66e5e5d9d460

Observation 77786196-5d67-4a76-8704-ea304a07765d · outbound

This paper cites Banaji and H.

Assouad dimension of the Takagi function Banaji and H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.980220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.777443Z digest=sha256:032eee09864d247631a20727a5267a132975febf99bd1d51b9073ff9b2189460

Observation 56c8f186-93c6-4010-8d2f-231420fd9578 · outbound

This paper cites Billingsley.

Assouad dimension of the Takagi function Billingsley

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.972670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.780726Z digest=sha256:9005c437075cdee4a4c5257d0fbd08d0d6ad7300647196719e70741f275109c1

Observation 5093225e-6d00-42d6-a05b-a43dff606d2f · outbound

This paper cites Buczolich.

Assouad dimension of the Takagi function Buczolich

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.964780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.784112Z digest=sha256:7d1a72e1b0e8639bf0b5aacff6449b82b2d445a6a4830fea69e631ddf630aee8

Observation 6aa9335b-30f6-4dab-a96b-d8ee871d7742 · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.956927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.787593Z digest=sha256:23eb2455fdf2d986b03753ab0fd30049b99c8993dc373ee12a91ae9ea8a76d27

Observation e298d8a4-66e9-4316-b8dd-cb9a6cc4b8b1 · outbound

This paper cites Falconer.

Assouad dimension of the Takagi function Falconer

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.949162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.790493Z digest=sha256:a58a41ced6fcdd3a7635b95631aa236aea10418e678003754ac2e2851e1f11c1

Observation e12deb9b-1dcd-4791-86f1-030c5e75c1b4 · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.941262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.793174Z digest=sha256:cdb7b9bc9e17c599f97ce89d122a440daa8d7da43d4d625924d49c9534635d1a

Observation 6496ace4-c857-47d5-9ab4-61c6363dac38 · outbound

This paper cites Hata and M.

Assouad dimension of the Takagi function Hata and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.932964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.795949Z digest=sha256:f8aae740f4c3706a7feff570f100fe5cb05cea4ca9bbb22590eec09530eb0117

Observation 010c3d60-549a-4922-b5b2-277fd2aabfdd · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.924027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.798740Z digest=sha256:092e0f3b5056536b19519097cf6483c6b72a13250257698452a112dc3492477b

Observation 88e03c10-e16a-4d60-80b5-cef6e59157c6 · outbound

This paper cites Kˆ ono.On generalized Takagi functions.

Assouad dimension of the Takagi function Kˆ ono.On generalized Takagi functions

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.915682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.801449Z digest=sha256:d6f0f4902d338a8ebd8aa7a1aecb23f6759b320aa307adbb3e3d15975378cf47

Observation 1a1400c1-e8b1-4ea0-8f6d-05db15b96353 · outbound

This paper cites Coincidence and noncoincidence of dimensions in compact subsets of $[0,1]$.

Assouad dimension of the Takagi function Coincidence and noncoincidence of dimensions in compact subsets of $[0,1]$

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-09T16:40:32.804043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T16:40:32.804043Z digest=sha256:5552b676aab908dccbafd4a7a9b82cb7e8b71d9b2f7afc6d128e79130ed657f0

Observation 0ff6c187-aa2c-4175-ad4f-c8113065f781 · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.907598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.807355Z digest=sha256:10a41fab2f18165f18b6272a102bf07eb02351f0c9499ae7fbaccd3892da3a95

Observation e83d9023-9d3d-4f5c-88bd-76413b1da368 · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.898729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.810087Z digest=sha256:ebabf18307dae2810d9ca19523ad20e7bd4fbf30aa1976bd9936f2275468ccb2

Observation c168d1cd-00dd-4418-a0d8-d4627b166750 · outbound

This paper cites Shidfar and K.

Assouad dimension of the Takagi function Shidfar and K

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.889744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.812837Z digest=sha256:97154391beb8f955f7157bb0b01f38db5be0b673ce4c0600b872c96a3819623c

Observation df4ddb19-126b-42af-8d16-7ac955e9417a · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.880776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.815487Z digest=sha256:f4f9432741ebf0acde6d4a81255465586d361df4f46e6d370bea3eafce6e97c3

Observation ec728d4f-5061-49e4-9041-bf4fae97cf7b · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.872229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.818313Z digest=sha256:e9e3047f1bab871a14dfe04c92c396b77bb29d250854b0623dc8cb47759ba506

Observation 1d0c794e-a560-45d4-9d53-2bfa1f625e45 · outbound

This paper cites Weierstrass.

Assouad dimension of the Takagi function Weierstrass

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T16:40:32.863412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.821037Z digest=sha256:a5d71e55aa881b1095073206f9705c69187a94626224c5cae80682aeb4922836

Observation 5fba3889-d423-48da-8d65-705a9f450f8c · outbound

This paper cites an unresolved cited work.

Assouad dimension of the Takagi function Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-09T16:40:32.854827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T16:40:32.823893Z digest=sha256:2484186f9e63b6246ebbc1c8f557059c8a346cd4eb1496ca8ea2145632f22058

Pith citing papers

Observation aa0e4fd3-8941-4e5e-af6e-f8291b4d0a5b · inbound

On the Assouad dimension of Weierstrass function graphs cites this paper.

On the Assouad dimension of Weierstrass function graphs Assouad dimension of the Takagi function

Reference 28

Resolution
verified exact
local_arxiv, observed 2026-08-12T05:31:36.207309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-12T05:31:36.080021Z digest=sha256:656141d2794e65af6e35679b6fcbdadfeb2bbf3fa44005643a7483fc2752c11c