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Paper Citation Record · LEDGER

On Optimal Testing of Linearity

As of 12 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2411.14431.

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

pith.paper-citation-record.v1
2411.14431 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:22:26.152470Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy23
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e446732-1a8b-4afc-817f-22e0b78941af · outbound

This paper cites Low degree testing over the reals.

On Optimal Testing of Linearity Low degree testing over the reals

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:25.988252Z digest=sha256:d5b8cea2300c8e5b7173a6751ab02304529f816264030c1afd508a73111af2ca

Observation af1736b0-a952-41d4-92fe-4d599a506747 · outbound

This paper cites Kiwi, and Madhu Sudan.

On Optimal Testing of Linearity Kiwi, and Madhu Sudan

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.673153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:25.995683Z digest=sha256:3e5b2f04b524912c02262f1175592c16a8829ef265254cd2f8596bcf82d7e8e2

Observation 90e51478-181d-4a3a-a624-8d2104607481 · outbound

This paper cites Free bits, PCP s, and nonapproximability-towards tight results.

On Optimal Testing of Linearity Free bits, PCP s, and nonapproximability-towards tight results

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.651039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.003053Z digest=sha256:4dbf0b55755de476d5b97479e52886474f523250eea67f9d0ec69ae32643552f

Observation b9eb9ba0-ab18-4616-b8d4-e3349e0f777a · outbound

This paper cites Property testing with online adversaries.

On Optimal Testing of Linearity Property testing with online adversaries

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.631738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.009813Z digest=sha256:9b4a9647bbd6adfb07b4b2c92acf514491ce8788f613d905d8c91cd4e4425f55

Observation 3ef5e2d2-1693-4a70-80e8-8ebf19efbe6d · outbound

This paper cites Self-testing/correcting with applications to numerical problems.

On Optimal Testing of Linearity Self-testing/correcting with applications to numerical problems

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.612537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.016486Z digest=sha256:c5e7e5dc480e98dadf2d4020ed9315c0eaf9ca5832f0c32699aefaf5672be29f

Observation 407c8834-73ba-427e-ad1e-d00d7499b7c5 · outbound

This paper cites Improved non-approximability results.

On Optimal Testing of Linearity Improved non-approximability results

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.592365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.023131Z digest=sha256:cffdccd85fa798475b6db049ea7e1084f58e0c41e83f5e7f66c0b6cd47118341

Observation 11252b7e-3c7f-4501-b8bd-d7400594f535 · outbound

This paper cites Vadhan, and Avi Wigderson.

On Optimal Testing of Linearity Vadhan, and Avi Wigderson

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.574456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.029866Z digest=sha256:7eebf30ae46aee45283d99a40fdd676ce4bb064083e9224eececb04f1ac64144

Observation 6353b35f-4432-4c33-b5f5-bc746c9e358a · outbound

This paper cites Interactive proofs and the hardness of approximating cliques.

On Optimal Testing of Linearity Interactive proofs and the hardness of approximating cliques

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.556442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.035312Z digest=sha256:94f844b7d6e3eee6d0e5a821df4314e0355fe9050908020bcdb9e5f6b19665e2

Observation a6ed805f-4793-4516-a906-776866fd7e1c · outbound

This paper cites A basic lower bound for property testing.

On Optimal Testing of Linearity A basic lower bound for property testing

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-12T15:22:26.040677Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:22:26.040677Z digest=sha256:871c71339323a6211e1a98c690668450a1c9eb69a087b8a25ea82d573e44caa3

Observation 904b087c-0186-4b1b-a804-15acbbf76290 · outbound

This paper cites Distribution-Free Testing of Linear Functions on R ^n.

On Optimal Testing of Linearity Distribution-Free Testing of Linear Functions on R ^n

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.537660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.046172Z digest=sha256:6762adac664b31266b3977bac3fed97de8d774bcfff0750b1667108ad586c6a6

Observation cc9432af-8c7b-41ab-bd00-f48c6cbf2733 · outbound

This paper cites Property testing and its connection to learning and approximation.

On Optimal Testing of Linearity Property testing and its connection to learning and approximation

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T15:22:26.051357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:22:26.051357Z digest=sha256:f9b8f2591640f482e67670a19e4d1693b32ca877625541a5695e90f9618fcf62

Observation aabf541a-411c-42ca-a94f-fdf2b598dfda · outbound

This paper cites On sample-based testers.

On Optimal Testing of Linearity On sample-based testers

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.504072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.056341Z digest=sha256:f6758997cc9f4a3453764aeb315fa986e5b133564a4154589679587058e0c692

Observation e591cc79-01ad-4962-bedf-2c344cd5f15d · outbound

This paper cites Eine basis aller zahlen und die unstetigen l \"o sungen der funktionalgleichung: f (x+ y)= f (x)+ f (y).

On Optimal Testing of Linearity Eine basis aller zahlen und die unstetigen l \"o sungen der funktionalgleichung: f (x+ y)= f (x)+ f (y)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.482966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.063470Z digest=sha256:38fb4b086de6864e07f08438c43559e245cfead31ba82183af98df3e073764dc

Observation 6a2af738-1265-475d-898a-4d85b031fb5a · outbound

This paper cites Distribution-free property-testing.

On Optimal Testing of Linearity Distribution-free property-testing

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.463366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.069386Z digest=sha256:63b2b4cbce6b458296a24ff77c633e88499999d766016ac7d76833c091318f92

Observation 8627320e-c52c-4183-9f09-6a60ce962d58 · outbound

This paper cites Simple analysis of graph tests for linearity and PCP.

On Optimal Testing of Linearity Simple analysis of graph tests for linearity and PCP

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.443150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.075639Z digest=sha256:eb0a7e0793a6f110df960581bf1a4f98ba605818000d0e238c4fa8c2cd6cf74c

Observation 0844f39b-7def-46e7-897f-bc44a928b97f · outbound

This paper cites Breaking the epsilon-soundness bound of the linearity test over GF(2).

On Optimal Testing of Linearity Breaking the epsilon-soundness bound of the linearity test over GF(2)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.424587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.082533Z digest=sha256:e3fe19d1c2851b047e021723584f270a78108b15bafbd55d6fc2ad65845dbbd6

Observation ae8cb282-ce70-4535-b4b4-b4b9b5807e42 · outbound

This paper cites Sublinear-time computation in the presence of online erasures.

On Optimal Testing of Linearity Sublinear-time computation in the presence of online erasures

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.403163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.088471Z digest=sha256:c9f3b73f3bfa294b64c28f030e8e7d4d7199e3d05ffe46623e5832457e0cb2b4

Observation 3655bdc8-973a-4e69-a7cd-89e60eba7c87 · outbound

This paper cites Adversarial low degree testing.

On Optimal Testing of Linearity Adversarial low degree testing

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T15:22:26.095945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:22:26.095945Z digest=sha256:80666a9df3eb2add720d42a9ec29511d20fadf29ffc1c074bbb475651bc6b561

Observation 077baa4c-cf03-42d7-9a26-30d34663a502 · outbound

This paper cites Linearity testing/testing H adamard codes.

On Optimal Testing of Linearity Linearity testing/testing H adamard codes

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.102717Z digest=sha256:9e4268bc55dbddb7a25168fe8fa4abee32e3eadadf9d0150171bdf5a84e03b22

Observation e1aa3f48-27df-4b18-b3de-172ef7c3fe9e · outbound

This paper cites Rubinfeld and M.

On Optimal Testing of Linearity Rubinfeld and M

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.350668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.110682Z digest=sha256:0d0f78cb1ae1c89f90e91398369b055b1e5fd7a8cb12d07a8e6bb172e60a2f0b

Observation fb26077c-61f7-4efb-86e6-b5db932bf69a · outbound

This paper cites Low-degree tests at large distances.

On Optimal Testing of Linearity Low-degree tests at large distances

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.329494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.118741Z digest=sha256:8f87008c701e7aee3845812c49e6616c6e0931596962fd4484c9f41ca2d9080e

Observation 78fa2c87-ed48-4c05-ae2d-cc2c6cbbeeb5 · outbound

This paper cites Probabilistically checkable proofs with low amortized query complexity.

On Optimal Testing of Linearity Probabilistically checkable proofs with low amortized query complexity

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.306453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.125316Z digest=sha256:b9f45e59ef23e909a470805fd56e657649b61ed57474b82c9c9c59da84b2c36a

Observation 0c6f8daf-ece7-4d07-802d-a07fbbad8c7f · outbound

This paper cites A PCP characterization of NP with optimal amortized query complexity.

On Optimal Testing of Linearity A PCP characterization of NP with optimal amortized query complexity

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.286526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.131344Z digest=sha256:f13bfcb7cb28e000a6d7412fed46d0b88c24948d78e2dbbc393b1c17a0273ef2

Observation fe05130c-4a6a-40c8-9087-1db4ce5b860d · outbound

This paper cites Gowers uniformity, influence of variables, and PCP s.

On Optimal Testing of Linearity Gowers uniformity, influence of variables, and PCP s

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.264870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.136983Z digest=sha256:147729689aa61f5ad9801d742cb0af756d349c7f3741ff9121e62537550489fc

Observation b59f780d-90a4-47cb-aafc-3922207bf6e6 · outbound

This paper cites Derandomizing homomorphism testing in general groups.

On Optimal Testing of Linearity Derandomizing homomorphism testing in general groups

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.246339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.144326Z digest=sha256:fe396f5f94a6aee53b8c7c415d9948ff8044dc005803b44b7de61962195afb42

Observation 481fc33a-e44c-4ac0-96af-6da6792fc00a · outbound

This paper cites Recycling queries in PCP s and in linearity tests (extended abstract).

On Optimal Testing of Linearity Recycling queries in PCP s and in linearity tests (extended abstract)

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T15:22:26.227568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-12T15:22:26.152470Z digest=sha256:18c159fec5012ccaf855d7d8c81be36ebffdb84b69a90d7ff21eac346d271e05

Pith citing papers

No inbound Pith citation observations are available.