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Paper Citation Record · LEDGER

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$

As of 13 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2606.08865.

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

pith.paper-citation-record.v1
2606.08865 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T17:38:49.983205Z

measured 28 of 28 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 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

28 of 28 outbound references displayed

  • verified exact3
  • verified fuzzy0
  • unresolved25
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b37a4d5-9d65-4b03-87bc-5c8a038f1969 · outbound

This paper cites The Dirichlet spectrum.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ The Dirichlet spectrum

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-02T23:57:28.787907Z

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=2026-06-27T17:38:49.983205Z digest=sha256:c61e83a627b631983f2b9bba14f73a78c166df1e6b4f9aacf13b24639ced85a8

Observation 87973464-0886-4b0b-89ba-f5886f9fe54c · outbound

This paper cites Andersen and W.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Andersen and W

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:8424061536ccb3c25caeb110ae099f270a43212acf4025737ad11adf1954638e

Observation 2b6c9095-f024-4d46-8d41-15ffabafadcd · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:1e51d5768391a8f1e36c4cbacda2da03499ab26a5110b724876178c5bd8be612

Observation d51b030e-fda1-4e12-ae96-58e96e64c54f · outbound

This paper cites Every real number is a sum of two real numbers with diverging partial quotients.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Every real number is a sum of two real numbers with diverging partial quotients

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-07-02T23:57:28.792576Z

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=2026-06-27T17:38:49.983205Z digest=sha256:eb1229b6551a001baa4a1a8da5ba8e1e5f84c514ce545dedec99c2085382c334

Observation d295eec6-001f-4294-b0dd-f82509a7564e · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:dbf2c408f2c20ae86a9c51c9afe2b21acd5c247d9c210d456326609ba74da201

Observation 5a376623-a162-406e-85cf-0f628a548948 · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:96adff4d793890af3c0e40aeb807a649901dbc01a9b081715df060883dcbb815

Observation ead4f388-6113-4eaa-bced-cd321e337dd6 · outbound

This paper cites Hussain, D.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Hussain, D

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:41300fb86c7d9452e3dc2041cb15c36bb063b7a86d5e539239912159facb3d37

Observation d3bf6e1f-c42c-4745-b0c6-b74b9c8aad47 · outbound

This paper cites Iosifescu and C.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Iosifescu and C

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:de42c7ee564a6a9feef137847ab28698c28fed706bcc4b7952442078f039e28d

Observation cf8a5d1a-ac4d-4a84-8e75-f48fb7edf90a · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:2a95707879e4e9ad884eabde21cf6c7c3f19cf172a92a8098395709329c5d552

Observation 39b4c1cb-5678-4f8f-bfb7-543d11f864d5 · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:408e32ee9370a59e6192f6373b41686ea34444903f217ffb45b4d3e623538c22

Observation dcc2ac99-b586-4f02-adc7-9dbd9924e711 · outbound

This paper cites Kleinbock, N.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kleinbock, N

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:2a78eaf843a83b647a9a5531db65b597eca74210ec1573e38d984a3544ed75cd

Observation 7d916d41-b191-4dcc-84f1-80601fcb3d9d · outbound

This paper cites Kleinbock and S.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kleinbock and S

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:83fc097e8d835b05cccbe03c65d76dd70331a8d40734247a9fab6463d9bcf966

Observation f68702fc-4a4a-49bc-b1ad-30271bf94565 · outbound

This paper cites Kleinbock and A.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kleinbock and A

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:8738c2693727e792b9ac816c13e63ba641a97f374088bb457dc21500eb6828df

Observation 652894cf-e97d-4190-abae-e893acdcec11 · outbound

This paper cites Kleinbock and A.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kleinbock and A

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:08c6c57630db196cd860d3d51a4fe2aa684b924835da984a5d0b5db9cfaae2f9

Observation cfec1e24-7a4c-44b0-947c-d04a246c273a · outbound

This paper cites Kleinbock, A.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kleinbock, A

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:c5de9e37c865a03396caad5b2345b29e4c0f582c0185580176e25d35b6d2cd26

Observation 9b8198d6-29a2-4fe5-b392-350ea331b5bf · outbound

This paper cites Kleinbock and N.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kleinbock and N

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:6d466fdeda43e16c4ce7dfa24784ba1b155139d784094db602a92e9d56e5ff59

Observation ede2b4e9-159f-47dd-aea8-90c90be94263 · outbound

This paper cites Kraaikamp.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Kraaikamp

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:c93e4cd1e0f9cb01983a79b135f686c1b8c88d846e688872fef6f09c413dc3a2

Observation b1bfabed-796e-45ea-a93f-dfd12f1ba9da · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:35be72c69e8e941b747baa0d46b8a2dfe3162eac94dec9eb0f26f6d2937632bb

Observation 415e70e0-d31c-4b52-a7b3-38cd1a084ff8 · outbound

This paper cites Minkowski.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Minkowski

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:2e5a9d701d4f19106b7d34f755e0fc63ddfa1d9341b700c7a282a0d4562d743f

Observation b5d12048-6df3-46f5-b80f-3dc9cbfcd822 · outbound

This paper cites Minkowski.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Minkowski

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:be11e6590cc7cbdf0e6ac6519da3e734fdb9dd1d32ba4d61bb0cbc2359ca785f

Observation 8738ca2e-fee9-4124-ae4d-69287b134c45 · outbound

This paper cites Minkowski.Geometrie der Zahlen.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Minkowski.Geometrie der Zahlen

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:179bf23d28d4e2b2e89bdae71b3129100d2e224d54e54ce30427818437efdc77

Observation 423e49b1-afb5-4ebf-b23a-f8e6bb8c9605 · outbound

This paper cites Moshchevitin.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Moshchevitin

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:27e6066c27433c288483d34ae66ae1238c923789fc24d213d09ea9be834aed66

Observation d5a5dce0-b9bb-4b74-be0b-9d7c5842dcea · outbound

This paper cites Dirichlet improvability in $L_p$-norms.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Dirichlet improvability in $L_p$-norms

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-07-02T23:57:28.790209Z

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=2026-06-27T17:38:49.983205Z digest=sha256:035b2c27965ad4a3e314890b0864c8536ead9b87e9f9f7f315209b3126475134

Observation bb78ce46-e8c6-4e7e-9ac5-0061b3797c18 · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:8b7964d090b9779fe61e75bd3aa280186ec12e0d272330cfb9a9ccd3606bc1fc

Observation e8d6670f-2a37-4d5c-8776-e07533370357 · outbound

This paper cites Schleischitz.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Schleischitz

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:0d4e759aa921a6af53f7eff01633ec9e1cf750601797d9b1cc35b93d728c904a

Observation b4f25dfe-c679-44fc-ac40-f03b02dd982d · outbound

This paper cites Schleischitz.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Schleischitz

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:d56ca2d9791346518208ca5311c3e33eb9be519a2d0792bdf6004a0c710978f9

Observation c3b85c44-086b-4208-acec-2c0c347ec9ce · outbound

This paper cites an unresolved cited work.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Unresolved cited work

Reference 27

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:6d8346c2e413380ef59c111f436e56f3ccc48779edb5d336eedde3848597613c

Observation 9e439325-dc94-4e3c-94b2-059a85dd39e4 · outbound

This paper cites Szekeres.

The Dirichlet spectrum with respect to $L_1$ norm is $\left[\frac12,1\right]$ Szekeres

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-27T17:38:49.983205Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-27T17:38:49.983205Z digest=sha256:69366f66c1b2ccef49b149f433876fb7005e723aff7bdc2fb30562a839183b17

Pith citing papers

No inbound Pith citation observations are available.