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Paper Citation Record · LEDGER

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries

As of 21 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2510.27012.

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

pith.paper-citation-record.v1
2510.27012 v3

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:22:19.921938Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T21:26:02.324238Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T21:28:17.598277Z

Reference resolution

38 of 38 outbound references displayed

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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 976bb744-755d-43bc-9fc1-ba255d1eb7b8 · outbound

This paper cites Property Testing in Bounded Degree Hypergraphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Property Testing in Bounded Degree Hypergraphs

Reference 1

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source=arxiv_source observed=2026-08-04T07:22:15.514211Z digest=sha256:954adbb7f139d9a278ed168ef9a3765e04d07a4d0237b16a0649c7ef04d56ef1

Observation 93ead4dc-18c5-47b0-b42c-a107b8a1c768 · outbound

This paper cites Polynomial time approximation schemes for dense instances of np-hard problems.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Polynomial time approximation schemes for dense instances of np-hard problems

Reference 2

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source=arxiv_source observed=2026-08-04T07:22:15.601128Z digest=sha256:eb3a9e18ddec7db5ec8e5002b6241db6d469c33c31887af33e37db4653436346

Observation fd5d9902-f88e-4310-b0f7-16978094ec68 · outbound

This paper cites Testing satisfiability.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Testing satisfiability

Reference 3

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source=arxiv_source observed=2026-08-04T07:22:15.685710Z digest=sha256:d145c5782705cb823939ccde6ac86bcb289c74ef7d2d0204af3b3d75e514a9a9

Observation dbfa0ff3-65f7-4efa-8287-dcb272f1e81a · outbound

This paper cites The collapse of the bounded width hierarchy.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries The collapse of the bounded width hierarchy

Reference 4

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source=arxiv_source observed=2026-08-04T07:22:15.813876Z digest=sha256:438b01585bb16703014892bd9c1a7aa14577d617c632bec7f560eb542f4dfd49

Observation 6883c2ed-95b6-4e7c-8414-7cd4439050c5 · outbound

This paper cites Constraint satisfaction problems solvable by local consistency methods.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Constraint satisfaction problems solvable by local consistency methods

Reference 5

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source=arxiv_source observed=2026-08-04T07:22:15.910745Z digest=sha256:406f53a47f4e0d8921141ddc377b779ce5784221107d6ef5be92c3896dc1f61a

Observation f4564d87-3f35-433c-ac33-9f74b6b67e50 · outbound

This paper cites Robustly solvable constraint satisfaction problems.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Robustly solvable constraint satisfaction problems

Reference 6

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source=arxiv_source observed=2026-08-04T07:22:16.074749Z digest=sha256:0da458ae3f44e0bffbaa9dcd331301d65bcc92265eb3c98127783d9234652ad1

Observation 76cc531f-fdd1-469f-9718-051934d5152a · outbound

This paper cites A lower bound for testing 3-colorability in bounded-degree graphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries A lower bound for testing 3-colorability in bounded-degree graphs

Reference 7

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source=arxiv_source observed=2026-08-04T07:22:16.217322Z digest=sha256:c0ee8f803251ed74485e3409609744d9abe8a12dae355db0c5973d4684979a73

Observation 25151dd6-9ca3-4b0b-891f-ec8a15c0bfc5 · outbound

This paper cites Notes on CSPs and Polymorphisms.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Notes on CSPs and Polymorphisms

Reference 8

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source=arxiv_source observed=2026-08-04T07:22:16.364751Z digest=sha256:5a6752e0146f06866647a32880a074509413b900eba3fe533fe7b8a2d78c0b05

Observation 0c406a36-fa14-40d7-9fe2-9282bdb47bd3 · outbound

This paper cites Every minor-closed property of sparse graphs is testable.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Every minor-closed property of sparse graphs is testable

Reference 9

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source=arxiv_source observed=2026-08-04T07:22:16.473593Z digest=sha256:5e168bf9f69db72538bf691fac16a3b887f8564d9feed98e11dfc455a7c506da

Observation dcc16949-9194-4705-a769-8d4fe804e37e · outbound

This paper cites Linear space streaming lower bounds for approximating csps.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Linear space streaming lower bounds for approximating csps

Reference 10

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source=arxiv_source observed=2026-08-04T07:22:16.623828Z digest=sha256:42238b8ea1b04a50b8c907b046e274b77aba5aed50571d16348d16fc611323ce

Observation aedf29bb-9905-401f-8540-6974322dac8f · outbound

This paper cites Sketching approximability of all finite csps.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Sketching approximability of all finite csps

Reference 11

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source=arxiv_source observed=2026-08-04T07:22:16.814753Z digest=sha256:10fdc479bc8a3ed5d382de819aeb35105b90d404a3b1839a64a6073067a14c9b

Observation d2d3b38b-315d-41ca-8d23-07ac284cc0c5 · outbound

This paper cites Planar graphs: Random walks and bipartiteness testing.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Planar graphs: Random walks and bipartiteness testing

Reference 12

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source=arxiv_source observed=2026-08-04T07:22:16.871910Z digest=sha256:08a0aad70c3cadc29b4bdc7479bf79756e8ec7396c6b65e5ecd5ddbace0a2205

Observation 46c81d8d-d5eb-47f3-99f4-2d97f27afa2f · outbound

This paper cites Robust satisfiability for csps: Hardness and algorithmic results.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Robust satisfiability for csps: Hardness and algorithmic results

Reference 13

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source=arxiv_source observed=2026-08-04T07:22:17.005323Z digest=sha256:0855ca1363fb9b128a87dfb9d7f41bbf6f6c5ac6f95c5d5f8ab310932e2a6d8e

Observation dc700a37-0f50-4872-976a-2e339dfadace · outbound

This paper cites A dichotomy theorem for multi-pass streaming csps.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries A dichotomy theorem for multi-pass streaming csps

Reference 14

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source=arxiv_source observed=2026-08-04T07:22:17.138890Z digest=sha256:ccc270e7de553e483f2adacc388df8f77442a5ba8ef53141615e112154ef8579

Observation eac557c7-4ea9-409f-b7f3-f744f6242cf8 · outbound

This paper cites Multi-Pass Streaming Lower Bounds for Approximating Max-Cut.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Multi-Pass Streaming Lower Bounds for Approximating Max-Cut

Reference 15

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source=arxiv_source observed=2026-08-04T07:22:17.259101Z digest=sha256:b22a5d38dcb30dbbb30f9e1a07dd94ec08c9681e1be012d7042726a28598d87c

Observation 05ed584e-d9b5-48fc-823c-9f9ad4ea217b · outbound

This paper cites The computational structure of monotone monadic snp and constraint satisfaction: A study through datalog and group theory.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries The computational structure of monotone monadic snp and constraint satisfaction: A study through datalog and group theory

Reference 16

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source=arxiv_source observed=2026-08-04T07:22:17.425525Z digest=sha256:0e0c8b22987c931266c88d05e0f34dabe9a6663bb57a6f37ce46fa4ea33fb194

Observation 3103c0be-912b-4c83-8a44-023e4a7bec2f · outbound

This paper cites Closed systems of functions and predicates.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Closed systems of functions and predicates

Reference 17

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source=arxiv_source observed=2026-08-04T07:22:17.501797Z digest=sha256:b62f3424ae00a793401b8808d7914838c1c40169d2a4bdf36fdcdf9be2ab9f34

Observation 4cf9986b-5af1-49d4-8279-dbeefded857f · outbound

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

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Property testing and its connection to learning and approximation

Reference 18

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source=arxiv_source observed=2026-08-04T07:22:17.641913Z digest=sha256:f498b7d230f4774f2d1d8f2414918e19390235f024577ee4a10746f3c44d73f6

Observation 58a68a9d-d911-4f72-b731-3a57aa75f8a8 · outbound

This paper cites A sublinear bipartiteness tester for bounded degree graphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries A sublinear bipartiteness tester for bounded degree graphs

Reference 19

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source=arxiv_source observed=2026-08-04T07:22:17.782725Z digest=sha256:0b5f23e0547815bc3f0ff84eee56a03822e9b49807d7b8ab112188a13f24e5c1

Observation 988bc484-37ff-4806-a1e8-87494f61bd8d · outbound

This paper cites Property testing in bounded degree graphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Property testing in bounded degree graphs

Reference 20

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source=arxiv_source observed=2026-08-04T07:22:17.858234Z digest=sha256:30e34ca9c886e215410d022ba23a797202c4888eb7ae37fafc78cfbddbd70264

Observation eafdfad6-3993-472a-8385-a07e8736d238 · outbound

This paper cites On testing expansion in bounded-degree graphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries On testing expansion in bounded-degree graphs

Reference 21

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source=arxiv_source observed=2026-08-04T07:22:17.925277Z digest=sha256:d9ea58d6c4087f9ffa3f17b3d82fc2a1eb820636084c6a4679a6df96322662da

Observation 8423b95d-d23c-43ea-95c3-60d985d002ac · outbound

This paper cites Tight bounds on the approximability of almost-satisfiable horn sat and exact hitting set.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Tight bounds on the approximability of almost-satisfiable horn sat and exact hitting set

Reference 22

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source=arxiv_source observed=2026-08-04T07:22:18.011656Z digest=sha256:02384c851d426f317ad1f97021788e4131d35f3f26bdf5674ebec5c797cd1333

Observation 3ab5ebea-57c1-4712-be14-991f6edcb8e7 · outbound

This paper cites Some optimal inapproximability results.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Some optimal inapproximability results

Reference 23

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source=arxiv_source observed=2026-08-04T07:22:18.124750Z digest=sha256:682bfaecc09569e826ed0f2a696d8cbb8ef8cb2cad9ef6ddb0b2f390bf4a42ba

Observation 3c1d3da9-24c2-4935-8c99-3ec84fe617d8 · outbound

This paper cites The structure of finite algebras , volume 76.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries The structure of finite algebras , volume 76

Reference 24

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source=arxiv_source observed=2026-08-04T07:22:18.234752Z digest=sha256:c7a314e5234665f804da623c3366cad488ace970c4c7cbf26b0af6eb642eca59

Observation 32d156d0-0b64-470b-89a7-7434a7aac8fb · outbound

This paper cites On the power of unique 2-prover 1-round games.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries On the power of unique 2-prover 1-round games

Reference 25

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source=arxiv_source observed=2026-08-04T07:22:18.404751Z digest=sha256:fc7f4863fe3ba5059eaefa9a7657d2f120d66e22c6a5b5039c16277d17efe526

Observation 85a4ffa7-f385-4d96-9460-1cf4085341aa · outbound

This paper cites An optimal space lower bound for approximating max-cut.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries An optimal space lower bound for approximating max-cut

Reference 26

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source=arxiv_source observed=2026-08-04T07:22:18.614750Z digest=sha256:b9587bdf11fb782b5e2285a5c98e383bae52346ec26ba42c2f34b576993df49d

Observation 400bbbc0-8bec-4395-b423-e16dab00502e · outbound

This paper cites Streaming lower bounds for approximating max-cut.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Streaming lower bounds for approximating max-cut

Reference 27

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source=arxiv_source observed=2026-08-04T07:22:18.753015Z digest=sha256:ddceb7f36549a7cdd2ed51b33114a6fac8b57a5e69c0f10ed673c26c0609669b

Observation a11cd1fa-1f28-42f0-9422-e9f5ce58ca1d · outbound

This paper cites Bounded width problems and algebras.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Bounded width problems and algebras

Reference 28

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source=arxiv_source observed=2026-08-04T07:22:18.910869Z digest=sha256:c781d72ab768352db0029f41e2e3f33660ae1d25c5e6216eca38e57900418eeb

Observation eb53fe4f-a3c2-4718-b127-4f8b054d3328 · outbound

This paper cites Optimal algorithms and inapproximability results for every csp? In Proceedings of the fortieth annual ACM symposium on Theory of computing , pages 245--254, 2008.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Optimal algorithms and inapproximability results for every csp? In Proceedings of the fortieth annual ACM symposium on Theory of computing , pages 245--254, 2008

Reference 29

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source=arxiv_source observed=2026-08-04T07:22:19.037972Z digest=sha256:e8c0191f1cfbba94a6abcf4accf0b3e8b3b97d59088d7a55aa8393c07135811e

Observation f81a3b5f-dcd6-4bef-bf53-82f6336b138c · outbound

This paper cites Streaming algorithms via local algorithms for maximum directed cut.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Streaming algorithms via local algorithms for maximum directed cut

Reference 30

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source=arxiv_source observed=2026-08-04T07:22:19.171987Z digest=sha256:08b6612c10bcdf0d1480ac124eb10a40d9b5c40e52584ab72bcf6b075f95df99

Observation 207185f6-8a77-4657-9c2a-312aaf311037 · outbound

This paper cites A survey on strictly simple algebras and minimal varieties.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries A survey on strictly simple algebras and minimal varieties

Reference 31

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source=arxiv_source observed=2026-08-04T07:22:19.340528Z digest=sha256:0998472105107ea4853e423b6eb845fdaa93c2d9dcdc08696dc49b85bab5f63f

Observation 823315da-194c-413e-b92f-5a18fc04ffb2 · outbound

This paper cites Non-approximability results for optimization problems on bounded degree instances.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Non-approximability results for optimization problems on bounded degree instances

Reference 32

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source=arxiv_source observed=2026-08-04T07:22:19.416227Z digest=sha256:54f5b59f1a3315905d26a3979e4322c06151f7b8881f643361b06b37ace81b3f

Observation d9ac98da-0cc1-4154-bcec-8b0f5662fc78 · outbound

This paper cites A subalgebra intersection property for congruence distributive varieties.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries A subalgebra intersection property for congruence distributive varieties

Reference 33

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source=arxiv_source observed=2026-08-04T07:22:19.484742Z digest=sha256:a5acaf4cd4ff2b23ed69c3e06c7d241f10adb63d72ef0f98d56565ead2af3039

Observation 3d6200db-be84-48f6-acff-c8a888a86936 · outbound

This paper cites Probability in high dimension (lecture notes), 2014.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Probability in high dimension (lecture notes), 2014

Reference 34

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source=arxiv_source observed=2026-08-04T07:22:19.566203Z digest=sha256:f587eb69c105c8922a55f03f8179125eff97b4034b8689db13ef8a53afb04cab

Observation 906684d7-f62f-42c2-ad26-70b724ecc3b3 · outbound

This paper cites Models of random regular graphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Models of random regular graphs

Reference 35

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source=arxiv_source observed=2026-08-04T07:22:19.694475Z digest=sha256:f69eb674390d8c8088a532440ad99fd8e39c72cee8a28d84003ae033da00ba50

Observation 8fd1907a-8d58-489b-bc64-5840569407cf · outbound

This paper cites Query-number preserving reductions and linear lower bounds for testing.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Query-number preserving reductions and linear lower bounds for testing

Reference 36

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source=arxiv_source observed=2026-08-04T07:22:19.774220Z digest=sha256:ae8fff69664891e02991bdb1a0c997f7d927302b0264974262a4b198c90a2479

Observation 616409c1-93db-4c16-b1d1-5c28305ac8a1 · outbound

This paper cites Property testing on k-vertex-connectivity of graphs.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Property testing on k-vertex-connectivity of graphs

Reference 37

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source=arxiv_source observed=2026-08-04T07:22:19.844458Z digest=sha256:b37f5072e893e203c8f18c2428169b6c98534ac41c4ce87d96bd19f525462e08

Observation 81596587-e739-4c4d-879f-d38aa0f2f599 · outbound

This paper cites Optimal constant-time approximation algorithms and (unconditional) inapproximability results for every bounded-degree csp.

Unbounded-width CSPs are Untestable in a Sublinear Number of Queries Optimal constant-time approximation algorithms and (unconditional) inapproximability results for every bounded-degree csp

Reference 38

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source=arxiv_source observed=2026-08-04T07:22:19.921938Z digest=sha256:deb08e4c46ab5b77c0e488b988d370b2964e5bf44d735da8326c83a64fcaf9b4

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Near-Optimal Space Lower Bounds for Streaming CSPs cites this paper.

Near-Optimal Space Lower Bounds for Streaming CSPs Unbounded-width CSPs are Untestable in a Sublinear Number of Queries

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arxiv_id, observed 2026-06-26T02:16:19.283275Z

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source=pdf_text observed=2026-05-13T21:26:02.324238Z digest=sha256:4535b63048dabf6e7af9fe7c95289e0fc068a51cc7703c1e63ca84f1d3ac92e8