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Paper Citation Record · LEDGER

Some lower bounds for optimal sampling recovery of functions with mixed smoothness

As of 17 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2412.02797.

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

pith.paper-citation-record.v1
2412.02797 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:21:21.130055Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

23 of 23 outbound references displayed

  • verified exact15
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6533d907-85b3-4b72-8aac-9031aa4ad0b8 · outbound

This paper cites A sharp upper bound for sampling numbers in $L_{2}$.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness A sharp upper bound for sampling numbers in $L_{2}$

Reference 1

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.489323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ac506309-94be-4890-8fad-62fecf47feac · outbound

This paper cites Universal discretization and sparse sampling recovery.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Universal discretization and sparse sampling recovery

Reference 2

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local_arxiv, observed 2026-08-11T23:21:21.476361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c341255e-6ae2-44de-aa02-307957218acc · outbound

This paper cites Random points are good for universal discretization.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Random points are good for universal discretization

Reference 3

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.464388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4de41b3f-b88a-46cd-a196-da3a5535e7ce · outbound

This paper cites Lebesgue-type inequalities in sparse sampling recovery.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Lebesgue-type inequalities in sparse sampling recovery

Reference 4

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local_arxiv, observed 2026-08-11T23:21:21.451501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.068333Z digest=sha256:891b23ae2c7f70e2b42c958cf75a07071c7464ff406cbce47b987c2a56512142

Observation 856c72f4-9d66-4a46-82f9-c7be58d220b9 · outbound

This paper cites Hyperbolic Cross Approximation.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Hyperbolic Cross Approximation

Reference 5

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.439237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.071989Z digest=sha256:998c2ae3a95905602d61b18299880a3e21ecaca2e22488a7b1a690e3bfc9a48e

Observation c9f16b22-c0ee-4ff6-bc6c-a31ff722d315 · outbound

This paper cites Sampling numbers of smoothness classes via $\ell^1$-minimization.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Sampling numbers of smoothness classes via $\ell^1$-minimization

Reference 6

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local_arxiv, observed 2026-08-11T23:21:21.425856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.075601Z digest=sha256:27b49e3fe2d361329ca6c0eba462ca0b31587b6fa5a47538f34ea8170062f790

Observation 36cf366c-e265-4a36-b5a4-a59a25ab0662 · outbound

This paper cites Bounds for the sampling discretization error and their applications to the universal sampling discretization.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Bounds for the sampling discretization error and their applications to the universal sampling discretization

Reference 7

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.412395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.078974Z digest=sha256:7e9b663a04ab0d4aedb4c69ec24c16821afe3537b00e68ae8c65fe3e55b6ee30

Observation de4eae64-c1bd-4a50-9ef3-d9a1e474fe6d · outbound

This paper cites Function values are enough for $L_2$-approximation.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Function values are enough for $L_2$-approximation

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:21:21.399750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.082634Z digest=sha256:e212bb702e275ea19f3270d0d0e3448fcf375e6796fb6fa1768654254a26792c

Observation 4fb366b2-95a9-4990-a377-495e22ca7c27 · outbound

This paper cites Krieg and M.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Krieg and M

Reference 9

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no resolver link, observed 2026-08-11T23:21:21.085853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:21:21.085853Z digest=sha256:8eb452ea9f58127da7f27592c571ebace234f050df54327165a8559660a04912

Observation 390d79b9-2899-4ba1-b046-12d289e7f84f · outbound

This paper cites A new upper bound for sampling numbers.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness A new upper bound for sampling numbers

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:21:21.232095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.088611Z digest=sha256:ff346b047a47a26887fee22de0e6643c93f545c133d91b6aaec92a41d41faaa6

Observation 18fe33da-c194-4487-ae34-9479c7caebcd · outbound

This paper cites Smolyak, Quadrature and interpolation formulas for tenso r prod- ucts of certain classes of functions.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Smolyak, Quadrature and interpolation formulas for tenso r prod- ucts of certain classes of functions

Reference 11

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raw_fallback, observed 2026-08-11T23:21:21.555408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.091635Z digest=sha256:1f44d9bdedb9827db89f3b646c4b0465c9d82960ecdef3f19d6d8d8040b0c99a

Observation e39feefa-78a2-4602-92af-45cbdadbd659 · outbound

This paper cites Sampling recovery on function classes with a structural condition.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Sampling recovery on function classes with a structural condition

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-11T23:21:21.219257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.094887Z digest=sha256:51caef8d25de244d36c619c7bc27d5bb4d275aebc0c1b1a386dedd0cf8368c4b

Observation 04f52539-9ea3-41a0-abda-34373cc512d1 · outbound

This paper cites Temlyakov, Approximation of Periodic Functions of Several Vari- ables by Bilinear Forms, Izvestiya AN SSSR, Ser.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Temlyakov, Approximation of Periodic Functions of Several Vari- ables by Bilinear Forms, Izvestiya AN SSSR, Ser

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T23:21:21.545942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.098106Z digest=sha256:c97c51b97273278e955c11bf5b6097786a0a7a7eb73fdc8798366e3982da37cd

Observation 511fa3d9-f175-448a-9ff9-b08022328180 · outbound

This paper cites Temlyakov, Approximation of functions with bounded mixed derivative, Trudy MIAN, 178 (1986), 1–112.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Temlyakov, Approximation of functions with bounded mixed derivative, Trudy MIAN, 178 (1986), 1–112

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-11T23:21:21.536930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.100941Z digest=sha256:9a25b496b1160c5a85dce90e4fafa8975c19e1545afca25fa2055499208bdfc9

Observation 94c4add9-a8c0-4fd7-a153-13f437b570be · outbound

This paper cites Temlyakov, On a way of obtaining lower estimates for the er- rors of quadrature formulas, Matem.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Temlyakov, On a way of obtaining lower estimates for the er- rors of quadrature formulas, Matem

Reference 15

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verified fuzzy
raw_fallback, observed 2026-08-11T23:21:21.527242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.104783Z digest=sha256:963e581bc989f382eb47467f6d97d5d9f5bf66452683918c39b780ba31bbfc61

Observation b6f1927a-273b-4a61-b9c5-d6deefb5b7fa · outbound

This paper cites Temlyakov, On Approximate Recovery of Functions with Bounded Mixed Derivative, J.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Temlyakov, On Approximate Recovery of Functions with Bounded Mixed Derivative, J

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-11T23:21:21.518254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.107594Z digest=sha256:ed71651574745c1d281e38d040ba7cc47afdd6e43dbcfbc78cb6794a0c674246

Observation 571e21f3-573c-47bd-bd97-23b581f57643 · outbound

This paper cites Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Constructive sparse trigonometric approximation and other problems for functions with mixed smoothness

Reference 17

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.205842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.110689Z digest=sha256:e6015c4fa166cc8b1964714f45d7c247962a668652bf54189408c1470cd757bb

Observation cf1f3fcc-68ea-43b1-92ad-9e7420d2038e · outbound

This paper cites Temlyakov, Multivariate Approximation , Cambridge University Press, 2018.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Temlyakov, Multivariate Approximation , Cambridge University Press, 2018

Reference 18

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raw_fallback, observed 2026-08-11T23:21:21.508555Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.113979Z digest=sha256:b42889b4e12184cc242e4e2e05dab2dc466a7a9d711d086e011375feb47f23a2

Observation f1f815bb-b535-48c3-9ac3-4b34e7a036be · outbound

This paper cites On optimal recovery in $L_2$.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness On optimal recovery in $L_2$

Reference 19

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local_arxiv, observed 2026-08-11T23:21:21.193918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.116968Z digest=sha256:fd3a2482ccbd36d3476d6dd7d5cfc13d97bed982b3eaa91cb4a058537cfe35c4

Observation 836161e5-e372-49eb-ae9c-4778760bf90b · outbound

This paper cites Sparse sampling recovery by greedy algorithms.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Sparse sampling recovery by greedy algorithms

Reference 20

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.182029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.120367Z digest=sha256:3b973c25a82e59dc9e6b8200f8e0504aff830d06bb221c679cccd191c37f3922

Observation 4b5121b1-79ad-47b0-8197-571cee21972a · outbound

This paper cites Sparse sampling recovery in integral norms on some function classes.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Sparse sampling recovery in integral norms on some function classes

Reference 21

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local_arxiv, observed 2026-08-11T23:21:21.169588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.123410Z digest=sha256:45456b239604df176fd123967a0e2ec938c4bf655d7ecb214f7b879ca1c54c9c

Observation d3c340a2-ba2d-47df-ab9a-58081920a109 · outbound

This paper cites Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Bounds on Kolmogorov widths and sampling recovery for classes with small mixed smoothness

Reference 22

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verified exact
local_arxiv, observed 2026-08-11T23:21:21.156586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.127015Z digest=sha256:dbe1824f972b8cdb2bd6030c30be40c394bcb897713ccff1c9b2f36783a32444

Observation 11125212-e671-4f86-9029-b680ed73bec7 · outbound

This paper cites Traub, G.W.

Some lower bounds for optimal sampling recovery of functions with mixed smoothness Traub, G.W

Reference 23

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raw_fallback, observed 2026-08-11T23:21:21.499030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-11T23:21:21.130055Z digest=sha256:bee0c508b83ee634eca2d0d70b0319c4c3a9abfdb125f5a75bf065510a7b7884

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