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Paper Citation Record · LEDGER

On Approximability of Satisfiable $k$-CSPs: VII

As of 13 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2411.15136.

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

pith.paper-citation-record.v1
2411.15136 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:43:35.189214Z

measured 13 of 13 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:12:36.583629Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T14:12:36.685633Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3e07c58c-4884-4e18-9d7e-7b1801e1a672 · outbound

This paper cites [BK21] Amey Bhangale and Subhash Khot.

On Approximability of Satisfiable $k$-CSPs: VII [BK21] Amey Bhangale and Subhash Khot

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.842151Z

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=pdf_text observed=2026-08-12T14:43:34.881947Z digest=sha256:54c44203bfa5072f59426683fe3acef1077f3c48e9c7dd6363eb1cc42a27673b

Observation 521d6310-6117-4a27-b7dc-27888e94a3c9 · outbound

This paper cites On appr oximability of satisfiable k -csps: I.

On Approximability of Satisfiable $k$-CSPs: VII On appr oximability of satisfiable k -csps: I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.619218Z

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=pdf_text observed=2026-08-12T14:43:35.017780Z digest=sha256:c2b814f7e3bb5d3d32d721aa3299454e0d32de61e0d0003f618063deff8110e9

Observation 8c467ddd-d7d4-42e4-a042-c202a14459cc · outbound

This paper cites On app roximability of satisfiable k-csps: II.

On Approximability of Satisfiable $k$-CSPs: VII On app roximability of satisfiable k-csps: II

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.530265Z

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=pdf_text observed=2026-08-12T14:43:35.040271Z digest=sha256:2663c81cbf488edf54ef64250b3085c162d534f25c4a56f01b2686b9a642de46

Observation 4c9d5501-49c0-4032-93ac-f2a7a329b5a3 · outbound

This paper cites On app roximability of satisfiable k-csps: IV.

On Approximability of Satisfiable $k$-CSPs: VII On app roximability of satisfiable k-csps: IV

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.398468Z

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=pdf_text observed=2026-08-12T14:43:35.094741Z digest=sha256:a50fc8c78389647b7765e1b62407eeb98e39735b0ee57157775c364e89cd0570

Observation 9cf0f3ea-fc59-4176-805e-8f2d1afdb0f3 · outbound

This paper cites A quantitative inverse theorem for the $U^4$ norm over finite fields.

On Approximability of Satisfiable $k$-CSPs: VII A quantitative inverse theorem for the $U^4$ norm over finite fields

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:35.171957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:35.171957Z digest=sha256:4f84885848ace724ee82a3f88e5fdeffe353355c7208a5b09385d114ab5c77d4

Observation 34a383f0-f2aa-476e-8317-d41bc9c78d5a · outbound

This paper cites [FK91] H.

On Approximability of Satisfiable $k$-CSPs: VII [FK91] H

Reference 1989

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:35.152439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:35.152439Z digest=sha256:24ce5f1ef0687d8189c260fe0ade1f6a4c9295e190cce41043cbea26c54e55f9

Observation 3db0cb26-67ff-4958-8ef2-707989549a22 · outbound

This paper cites [AS98] Sanjeev Arora and Shmuel Safra.

On Approximability of Satisfiable $k$-CSPs: VII [AS98] Sanjeev Arora and Shmuel Safra

Reference 1998

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.936971Z

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=pdf_text observed=2026-08-12T14:43:34.834372Z digest=sha256:91083bbe16a58300c07a4549d2b0c98acdbd9b72a2e7ba6dfecc079a49219096

Observation 3438a139-042d-459b-90cc-b2537080fb9e · outbound

This paper cites [Kho02] Subhash Khot.

On Approximability of Satisfiable $k$-CSPs: VII [Kho02] Subhash Khot

Reference 2001

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.297276Z

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=pdf_text observed=2026-08-12T14:43:35.189214Z digest=sha256:186b9a2522e0e73bd50276b1db6c5ad72f690a64c585a2a0d6c8c1e7f226a456

Observation 477c5dd2-3d14-4d1a-8924-13e85006b4cb · outbound

This paper cites An invariance principle for the multi-slice, with applications.

On Approximability of Satisfiable $k$-CSPs: VII An invariance principle for the multi-slice, with applications

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.750685Z

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=pdf_text observed=2026-08-12T14:43:34.927243Z digest=sha256:ccaa78d8c7457fce9d5fcdc419dfe1c94a003e44c996a3c5f5cbada1b501ad22

Observation 11af1fca-292a-4c7b-a94c-70c66b334747 · outbound

This paper cites Liu, and Dor M inzer.

On Approximability of Satisfiable $k$-CSPs: VII Liu, and Dor M inzer

Reference 2022

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.688921Z

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=pdf_text observed=2026-08-12T14:43:34.968620Z digest=sha256:1730e71a7e6a4cb453bda32be37c82c2a96dc1f5018c1f060c3d3cca541f6c37

Observation 9d6bafd4-65f5-4134-9bec-14c9c0374379 · outbound

This paper cites On app roximability of satisfiable k-csps: III.

On Approximability of Satisfiable $k$-CSPs: VII On app roximability of satisfiable k-csps: III

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:43:35.467845Z

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=pdf_text observed=2026-08-12T14:43:35.060675Z digest=sha256:1cff3bf277aed70ddb358c91899a3bcab2eddcaed3a851d795af7f6c56e843d9

Observation 125a0665-7abb-48ab-b6b6-f09d82f76ca3 · outbound

This paper cites On Approximability of Satisfiable k-CSPs: V.

On Approximability of Satisfiable $k$-CSPs: VII On Approximability of Satisfiable k-CSPs: V

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-12T14:43:35.129877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T14:43:35.129877Z digest=sha256:a0ce23953df71d2a1c223655c2c04a9b1a2f88ffcda7f594d3e821f458a52957

Pith citing papers

Observation 54ec36a3-3023-45b6-b081-df8235c1c7cc · inbound

Biased Linearity Testing in the 1% Regime cites this paper.

Biased Linearity Testing in the 1% Regime On Approximability of Satisfiable $k$-CSPs: VII

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-09T14:12:36.691015Z

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=2026-08-09T14:12:36.583629Z digest=sha256:bdf557ff54d017999420843a070d57d8cc75fd5170adbc42b2d3e13d93c46077