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Paper Citation Record · LEDGER

Estimates for the Gelfand widths of intersections of finite-dimensional balls

As of 13 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2411.14799.

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

pith.paper-citation-record.v1
2411.14799 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:01:36.231581Z

measured 18 of 18 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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a314e0e-7384-496d-867e-de261946f4e5 · outbound

This paper cites The Kolmogorov diameter of the intersection of clas ses of peri- odic functions and of finite-dimensional sets.

Estimates for the Gelfand widths of intersections of finite-dimensional balls The Kolmogorov diameter of the intersection of clas ses of peri- odic functions and of finite-dimensional sets

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T15:01:36.162555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:01:36.162555Z digest=sha256:33e4ba350660fb4fa7ad665de65de6dea9f9e570b9308cd52ed5d6481aceb6ac

Observation e340b0a8-a50f-4d70-969a-1179f291ee62 · outbound

This paper cites Kolmogorov widths of classes of periodic functions o f one and several variables.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Kolmogorov widths of classes of periodic functions o f one and several variables

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.457889Z

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.

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Observation 4adfd0d8-70d5-468d-99b1-596995f01d98 · outbound

This paper cites On widths of a Euclidean ball.

Estimates for the Gelfand widths of intersections of finite-dimensional balls On widths of a Euclidean ball

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.444338Z

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.

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Observation 36beacdb-eaac-4667-a889-ca8f8d18cefa · outbound

This paper cites On some finite-dimensional problems of the theory o f diame- ters.

Estimates for the Gelfand widths of intersections of finite-dimensional balls On some finite-dimensional problems of the theory o f diame- ters

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.431293Z

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=2026-08-12T15:01:36.175042Z digest=sha256:3f3fa91dc49f7a010a84343154a29c8a2fa7049b65bbaa99049a002d68b0f56d

Observation 4bc60ed9-4ca7-4026-a3b3-5d573a24e92c · outbound

This paper cites Norms of random matrices and diameters of finite-d imensional sets.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Norms of random matrices and diameters of finite-d imensional sets

Reference 5

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verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.418003Z

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=2026-08-12T15:01:36.179076Z digest=sha256:ec3d68844e4d35f3efe0a84873fdcf0c5bf6d9c3304867695f00d9357add99a6

Observation b8a071ef-6dd8-48f2-b6db-980737f18c12 · outbound

This paper cites Duality of convex functions and extr emum prob- lems.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Duality of convex functions and extr emum prob- lems

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.404890Z

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.

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Observation cb005fbf-ea05-4b5f-a8e6-8a0aaa5bfee3 · outbound

This paper cites The diameters of octahedra.

Estimates for the Gelfand widths of intersections of finite-dimensional balls The diameters of octahedra

Reference 7

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no resolver link, observed 2026-08-12T15:01:36.188635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:01:36.188635Z digest=sha256:8dee961c308b21f3e007a9ebe7c44a4d3477b4ba1891982c99856cb744a17312

Observation 3fa02c24-2619-435f-9320-c3289630d718 · outbound

This paper cites The widths of certain finite-dimensional sets and cla sses of smooth functions.

Estimates for the Gelfand widths of intersections of finite-dimensional balls The widths of certain finite-dimensional sets and cla sses of smooth functions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.383674Z

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=2026-08-12T15:01:36.192605Z digest=sha256:ad92318e3226507bc8f90458d0d9442cb8432aff60e7a4498eb70dec9ef87eba

Observation e18faf43-e303-48d4-801b-130a5d88b07d · outbound

This paper cites On some properties of matrices of bounded operat ors from the space ln 2 into lm 2.

Estimates for the Gelfand widths of intersections of finite-dimensional balls On some properties of matrices of bounded operat ors from the space ln 2 into lm 2

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.369227Z

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=2026-08-12T15:01:36.196361Z digest=sha256:a1abf8127a60df1a532b3d6c4b83e605cec8b507581a7af6eaaab7d0a1cbd3a9

Observation 3374f3fb-58ec-42b3-832e-030e3ef34536 · outbound

This paper cites A formula of Gaus s in the theory of the method of least squares.

Estimates for the Gelfand widths of intersections of finite-dimensional balls A formula of Gaus s in the theory of the method of least squares

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.355396Z

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.

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Observation 5fb86f87-8f82-4054-bc0a-8211b530e855 · outbound

This paper cites The Product of Octahedra is Badly A pproxi- mated in the l2, 1-Metric.

Estimates for the Gelfand widths of intersections of finite-dimensional balls The Product of Octahedra is Badly A pproxi- mated in the l2, 1-Metric

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.341114Z

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.

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Observation 4f134450-a131-4b42-bda7-feb02cd6ac40 · outbound

This paper cites Widths and rigidity of unconditional s ets and random vectors.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Widths and rigidity of unconditional s ets and random vectors

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-12T15:01:36.208293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:01:36.208293Z digest=sha256:dd37efdfe7f40be4052068e46471dda6aea8766f746fe1029984d1b94aab93a6

Observation 195e43fd-615b-4d65-afc9-6b24fd01fbac · outbound

This paper cites s-numbers of operators in Banach space.

Estimates for the Gelfand widths of intersections of finite-dimensional balls s-numbers of operators in Banach space

Reference 13

Resolution
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no resolver link, observed 2026-08-12T15:01:36.211933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:01:36.211933Z digest=sha256:d6412d89ca3c230b8139637faa46ce58d1668e9636f241d6c2abfa1aa78e7dca

Observation cdc727f8-8cb9-4e5b-b4a4-cca4e86cbfa1 · outbound

This paper cites On the best approximations of given classes of f unctions by ar- bitrary polynomials.

Estimates for the Gelfand widths of intersections of finite-dimensional balls On the best approximations of given classes of f unctions by ar- bitrary polynomials

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-12T15:01:36.215965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:01:36.215965Z digest=sha256:f073059a36ac65c3b3be548be879b53be1e5ccafcb115039235264e118f8d771

Observation 22bf48e4-dc85-4654-bb33-3f7b34e3b89a · outbound

This paper cites Aleksandrov diameters of finite-dimensional sets and of classes of smooth functions.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Aleksandrov diameters of finite-dimensional sets and of classes of smooth functions

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T15:01:36.220231Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T15:01:36.220231Z digest=sha256:d8395d75f591050610c132e1141cc047d2c24f0bb1c520d375b85712eda811b9

Observation c1d34f9a-e671-488a-8b0d-609287969488 · outbound

This paper cites Kolmogorov widths of intersections of finite-dim ensional balls.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Kolmogorov widths of intersections of finite-dim ensional balls

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.289846Z

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=2026-08-12T15:01:36.224041Z digest=sha256:79550e7013bcbd56410db5a40717fa772f68c1c5c1e3f86591386cf6dd649a21

Observation 625a7f67-7a0c-4b9d-99e9-81c34786a2dd · outbound

This paper cites Kolmogorov widths of an intersection of a family o f balls in a mixed norm.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Kolmogorov widths of an intersection of a family o f balls in a mixed norm

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.276453Z

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=2026-08-12T15:01:36.227845Z digest=sha256:d11b2bb9af7a08d93f710cd06bc7afd977f8f37a9d23fda96e6c04d5d17175b5

Observation 89de7bee-6102-4401-bb33-8a2a209e7f50 · outbound

This paper cites Kolmogorov widths of an intersection of a finite f amily of Sobolev classes.

Estimates for the Gelfand widths of intersections of finite-dimensional balls Kolmogorov widths of an intersection of a finite f amily of Sobolev classes

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:01:36.264079Z

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.

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