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Paper Citation Record · LEDGER

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

As of 20 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 6 inbound Pith citation observations for arXiv:2508.03961.

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

pith.paper-citation-record.v1
2508.03961 v2

Coverage vector

measured 59 of 59 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T01:07:40.686676Z

measured 65 of 65 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:18:05.896158Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T23:39:04.788099Z

Reference resolution

59 of 59 outbound references displayed

  • verified exact1
  • verified fuzzy54
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6f6699a5-6702-42ca-95f0-8a610f3372bd · outbound

This paper cites Spectral independence in high-dimensional expanders and applications to the hardcore model.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Spectral independence in high-dimensional expanders and applications to the hardcore model

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:50.880832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:35.952093Z digest=sha256:877d109391687ac11a4f54fa6a07637f65480211c791e2427582307727510997

Observation 940b9dba-2041-4850-b1bf-4a3ba6d02ac0 · outbound

This paper cites Liu, and Mehtaab Sawhney.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Liu, and Mehtaab Sawhney

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:50.735261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.031543Z digest=sha256:2dce07b2634f1f99dd8ec443e248984f7f69835c9cebdf77932589aa64ca2b1e

Observation 2e5576bb-454d-484e-bb2a-8c08236e4819 · outbound

This paper cites The discrepancy of random rectangular matrices.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The discrepancy of random rectangular matrices

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:50.561019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.076792Z digest=sha256:d96845e54950c2c108df912702a1386b8796534619a6840b1c502d8a3df3f67a

Observation 2ec3adc6-d591-4dec-ba26-6e2cb164a4bd · outbound

This paper cites Balancing vectors and G aussian measures of n-dimensional convex bodies.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Balancing vectors and G aussian measures of n-dimensional convex bodies

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:50.359620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.116216Z digest=sha256:9d06cf28de28cec04dcbc1dec48647485216207d884cd240b47144c92b3f560e

Observation ab014e59-a013-42c3-936a-de07ddcb1437 · outbound

This paper cites Constructive algorithms for discrepancy minimization.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Constructive algorithms for discrepancy minimization

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:50.153688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.188088Z digest=sha256:06159fc75eeb18982dbae351933a56cd1799fc8510fff18b12048b6be08b4ce6

Observation 57bc454c-949e-47ba-b48d-b15cea2eb55d · outbound

This paper cites On series of signed vectors and their rearrangements.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On series of signed vectors and their rearrangements

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:50.022151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.259848Z digest=sha256:5227ddeffc5ca6069b9b1541db9d46b40e59a57148026f044dcf0f5b70da9921

Observation 142071ab-f478-4c7f-818b-20f6382337cc · outbound

This paper cites Discrepancy theory and related algorithms.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Discrepancy theory and related algorithms

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:49.805597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.300833Z digest=sha256:8d773777a039e4463bdecac9e60359f65fea5d7bb36be5f4bc993004ac9c0a03

Observation 1f77b336-af4a-4f42-a3d1-a121e96e82ee · outbound

This paper cites On a generalization of iterated and randomized rounding.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On a generalization of iterated and randomized rounding

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:49.617519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.374785Z digest=sha256:ee42b74dbdf62f96188b98fb11368a47e72d471301168f3c2277af7eed9ad156

Observation c2cd1441-9252-4b2a-9f31-c61fe41dc077 · outbound

This paper cites An algorithm for K oml \'o s conjecture matching banaszczyk's bound.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk An algorithm for K oml \'o s conjecture matching banaszczyk's bound

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:49.336072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.431766Z digest=sha256:51fa035b6834ef6ecaa66430b0d49aad3e3cc30c6468da7c3a950c05851ddb97

Observation 67a3d905-0583-458e-9d04-1adb58df9865 · outbound

This paper cites The Gram-Schmidt walk: a cure for the Banaszczyk blues.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The Gram-Schmidt walk: a cure for the Banaszczyk blues

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:49.014355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.493940Z digest=sha256:486a31f1969143fb8a9438ea19e08565cbbea83426d5333eefa9bde43fc08ff7

Observation ec7082de-15a2-4207-8a66-e06992127f55 · outbound

This paper cites Roth’s estimate of the discrepancy of integer sequences is nearly sharp.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Roth’s estimate of the discrepancy of integer sequences is nearly sharp

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:48.750757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.552785Z digest=sha256:6c2514c4a1e94ea5148fa65f0b79119c6daaffad3ae7c0409a94c94bdd03187c

Observation f5f4cab7-44b1-48c3-8069-e1b77415efed · outbound

This paper cites I nteger-making.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk I nteger-making

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:48.671816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.606977Z digest=sha256:657003148dbbbe53483bee1cb778fa830f3822d32574d74155e252a5603b774a

Observation 6095ec0c-8d88-4236-b6a6-2dc03ca83ac7 · outbound

This paper cites Algorithmic discrepancy beyond partial coloring.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Algorithmic discrepancy beyond partial coloring

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:48.488258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.675295Z digest=sha256:d7bfe658d58cb51e87cdbd501b1c79f247817489d9dc3ace83500a76fc735560

Observation 4798c925-99a9-4004-8e8f-216e1ed1fb94 · outbound

This paper cites A note on the beck-fiala theorem.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A note on the beck-fiala theorem

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:48.356296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.729489Z digest=sha256:83f8bc272fc61c2a1cc550b7236f2da8845e288acee984cdc8e02aa5708574a3

Observation 8e2e52ef-cd1b-4a06-82ad-bfd28001dd5f · outbound

This paper cites An improved bound for the Beck-Fiala conjecture.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk An improved bound for the Beck-Fiala conjecture

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:48.249193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.769329Z digest=sha256:92fb1ab06b7b8f7680b9935380a9d5a3f7f059306682f9bc6284f9be132e6d4c

Observation 9ab6aaab-a7b7-45ce-a16a-3f07bb277add · outbound

This paper cites Quasi-Monte Carlo Beyond Hardy-Krause.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Quasi-Monte Carlo Beyond Hardy-Krause

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:48.068026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.846425Z digest=sha256:d8e72680fd7baf6be8c822608797aac10ebe5784b54478f7e494f12e2f91f4a6

Observation 395bb557-3624-49c6-9030-5ea61d738f0a · outbound

This paper cites Smoothed analysis of the Koml \'o s conjecture.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Smoothed analysis of the Koml \'o s conjecture

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.971936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:36.962691Z digest=sha256:858e4697622b58c074906fc3fcd5b78ad449b97b879f534c22a0f1a625854f69

Observation 4d9da518-0312-48fa-b26b-c488a36b2bfe · outbound

This paper cites A unified approach to discrepancy minimization.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A unified approach to discrepancy minimization

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.870130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.048570Z digest=sha256:e66296b0f4ced7115581915baecc6b4f097e4a2166cfaa2fac78523db8951a6f

Observation 6069641a-9fa7-46a8-9223-72da0d295979 · outbound

This paper cites On the discrepancy of random low degree set systems.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On the discrepancy of random low degree set systems

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.740421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.141193Z digest=sha256:9ccf1ff8e90ea109f6f61d773a875b5cd8c71cd829cd119bf45b1424e03df340

Observation 081da856-be2b-4dbc-a5a6-f93cd1746e76 · outbound

This paper cites Cover-decomposition and polychromatic numbers.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Cover-decomposition and polychromatic numbers

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.637879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.223185Z digest=sha256:a1b05f08e1ba1e65af8e120fdeae8b1649167f04ae8108c02fadc369368f5065

Observation a3020aa7-8e6c-40c0-ba65-26787552306b · outbound

This paper cites Flow time scheduling and prefix Beck-Fiala.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Flow time scheduling and prefix Beck-Fiala

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.484722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.315901Z digest=sha256:4f6b86ac5beaaede044d47b5659d4ef9c39fc1d975be0296c4c9270dbfe12585

Observation 387d490a-cb26-4513-b806-b01f00b021d3 · outbound

This paper cites Deterministic discrepancy minimization.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Deterministic discrepancy minimization

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.285928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.366184Z digest=sha256:4facb63cfedeac18645aa5f1074cf38940e88c2a86b8f77892b2c0abd75c02c7

Observation 9b4f6994-b37a-4795-b9ca-eb98b1f3082a · outbound

This paper cites An improvement of the beck--fiala theorem.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk An improvement of the beck--fiala theorem

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:47.070862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.423875Z digest=sha256:1b7555e271b94e8a53a9c2bcdc15a222f036585014265d58f4ca5de7a98bcd3b

Observation fff6fd37-5291-44d8-9454-0258f1d40377 · outbound

This paper cites The Discrepancy Method: Randomness and Complexity.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The Discrepancy Method: Randomness and Complexity

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-06T01:07:37.504656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T01:07:37.504656Z digest=sha256:9aa6bc6aeb531de64fa7b11983fec2b7f44df1d325fa78f6399c6ed464471725

Observation e86710e1-9616-40f3-ab23-960594c80f48 · outbound

This paper cites A quasi-monte carlo data structure for smooth kernel evaluations.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A quasi-monte carlo data structure for smooth kernel evaluations

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:46.896916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.591828Z digest=sha256:4d04f7da878039dfbc486a6d0f6acf4e3c1c00e62088a19c3830bdd66f5eb71e

Observation 2a34f47a-311e-4c49-b0ba-89155e4a91cc · outbound

This paper cites A note on norms of signed sums of vectors.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A note on norms of signed sums of vectors

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:46.776032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.649077Z digest=sha256:11474f7c6dfe0ba1b7b1c55756c83442e8bf33f2636e4febd687966256bae996

Observation 546e1384-d3c2-43af-b054-f75ef75d5372 · outbound

This paper cites A panorama of discrepancy theory , volume 2107.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A panorama of discrepancy theory , volume 2107

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:46.672166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.787403Z digest=sha256:28a4e4c860892460c85b5a7cc343f66ed59be4bea2989131b4c449ae6f7a704f

Observation 7b89c9f6-cc53-4222-a9ff-bddc8d4c8e1c · outbound

This paper cites Towards a constructive version of B anaszczyk's vector balancing theorem.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Towards a constructive version of B anaszczyk's vector balancing theorem

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:46.464391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.873513Z digest=sha256:ded81d9fdd6e7b2564ec1ad4c02e0b7bf50981effb7950ceadf7264630e75e3d

Observation 40d9f025-c165-4aad-aa85-f3e99026356d · outbound

This paper cites On the beck-fiala conjecture for random set systems.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On the beck-fiala conjecture for random set systems

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:46.235188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:37.946505Z digest=sha256:050eb8d3348914e384e85785e5d13b70687748de1342f66faa19370d0b76503a

Observation a73e657b-a652-4fa3-9658-57d4483dcaa3 · outbound

This paper cites Efficient algorithms for discrepancy minimization in convex sets.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Efficient algorithms for discrepancy minimization in convex sets

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:45.998574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.029357Z digest=sha256:5111e4fcd5eb358b550597a81b66b3b69ec61cc1fb6aa8e8557eefc9c662c45f

Observation 9708f37a-5cc7-49a5-b1bc-31b81821145f · outbound

This paper cites On the discrepancy of random matrices with many columns.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On the discrepancy of random matrices with many columns

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:45.782449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.126037Z digest=sha256:87302fdda9e1b5338784689ec0dd184345f3406031c58ea9168b3794772c78b5

Observation b6594846-09af-43f9-a00a-4cab25bfe17b · outbound

This paper cites Extremal properties of orthogonal parallelepipeds and their applications to the geometry of banach spaces.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Extremal properties of orthogonal parallelepipeds and their applications to the geometry of banach spaces

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T01:07:38.199829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T01:07:38.199829Z digest=sha256:dc7185ca8a24520020cb8b243919ffc1833eaa99144dce079d5a353e65113b47

Observation e57ba9c7-3ce3-4530-b242-cc148fc02d22 · outbound

This paper cites On a conjecture of k \"o mlos about signed sums of vectors inside the sphere.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On a conjecture of k \"o mlos about signed sums of vectors inside the sphere

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:45.584119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.252909Z digest=sha256:adc57fdd61486d1a7cbc370703a08ab1bdbf64509e16920a1fa551af46f5a49b

Observation 3f6adbd2-3136-4331-abb4-a2de296694c6 · outbound

This paper cites A note on the discrepancy of matrices with bounded row and column sums.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A note on the discrepancy of matrices with bounded row and column sums

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:45.410545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.368755Z digest=sha256:4058db1dc8852f0bb8c6738915bd285446a4e4454860cf7355182580a428763e

Observation 1bd3b042-3873-4053-a4af-5b8b23723fd8 · outbound

This paper cites On the beck-fiala theorem.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk On the beck-fiala theorem

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:45.197461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.448316Z digest=sha256:efb06bf91c9d36ccf113f56afee0a44d985bf5718921bc9c0c1badd421d3fcd0

Observation b3f39b44-a166-4951-9016-6055dafd5a2f · outbound

This paper cites A fourier-analytic approach for the discrepancy of random set systems.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A fourier-analytic approach for the discrepancy of random set systems

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.981048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.525155Z digest=sha256:0b3f83ceef1dc5f7bafb5ce625da300b49ac8afe86f70c73d97601b36ee1db74

Observation 0acc5435-46e9-47b5-8564-891c92917785 · outbound

This paper cites Discrepancy without partial colorings.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Discrepancy without partial colorings

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.807949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.603977Z digest=sha256:83e73427e46c7d2179070cc31223e9f2089019e7a26b744f0a772817599d5237

Observation 1386a9fd-2abc-4a06-924a-7312044b9a81 · outbound

This paper cites Balancing covariates in randomized experiments with the G ram-- S chmidt walk design.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Balancing covariates in randomized experiments with the G ram-- S chmidt walk design

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.655079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.718187Z digest=sha256:5900abccf923934f35280046a3d1f920b200b5331e65e7469b7855904b0a5093

Observation 1eb7668d-aa42-4edf-8e38-4eded344cb8a · outbound

This paper cites Spencer's theorem in nearly input-sparsity time.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Spencer's theorem in nearly input-sparsity time

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.518035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.809861Z digest=sha256:62f3d88ca7732fd4adcc0de693c57fdf8e85fbf145c7c4801410a99edd6f0392

Observation 8feed8cc-665b-471e-ac05-82076f953329 · outbound

This paper cites Personal Communication.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Personal Communication

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.340267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:38.908867Z digest=sha256:d0f63998fc67c5b19fcf3f7b477355efcdfa25906e7c9f69e2910a7c8bfac9b6

Observation a50fa6b1-8087-4cd8-a759-49301512f168 · outbound

This paper cites The discrepancy of unsatisfiable matrices and a lower bound for the koml \'o s conjecture constant.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The discrepancy of unsatisfiable matrices and a lower bound for the koml \'o s conjecture constant

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.176183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.001298Z digest=sha256:d81be4448f64e3dacfaf94e43a76b5551bb248a3800e6563f0e993be8d3c955f

Observation 15326b82-aca0-4e60-a008-a66758554387 · outbound

This paper cites Constructive discrepancy minimization by walking on the edges.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Constructive discrepancy minimization by walking on the edges

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-06T01:07:39.093172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T01:07:39.093172Z digest=sha256:79237362bbf342600cdf4f9e91ee379ae79f348b3e58371327bec51440ba4b0b

Observation c9c75080-e64f-4879-8b3e-aa140f166827 · outbound

This paper cites Deterministic discrepancy minimization via the multiplicative weight update method.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Deterministic discrepancy minimization via the multiplicative weight update method

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:44.043550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.167933Z digest=sha256:0978301152cd070c81ac18ae04e439420ff234bbafe3ade6e560095a870b36f9

Observation 1069e23a-7b7f-47e8-87d4-d3d58a2bfd3e · outbound

This paper cites Geometric discrepancy: An illustrated guide , volume 18.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Geometric discrepancy: An illustrated guide , volume 18

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:43.864071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.266852Z digest=sha256:708dd389da4788312a4bf02b7acd1ee4cd5ea597d773a10f68d3464565740d57

Observation 1c2109ef-82f3-42e5-b9cf-8d029ac73ef2 · outbound

This paper cites Combinatorial discrepancy for boxes via the _2 norm.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Combinatorial discrepancy for boxes via the _2 norm

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:43.709610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.377122Z digest=sha256:c612a0dd95390f3001c52845cb46ea8b6197c3e16a0819fe505c5e670feccceb

Observation ec45244d-c043-4484-b9fc-67e91bee7986 · outbound

This paper cites The Komlos Conjecture Holds for Vector Colorings.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The Komlos Conjecture Holds for Vector Colorings

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-06T01:07:40.854869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.478362Z digest=sha256:62149870076c7364abde99403d7f562073034b3bf6778b4f1facd35d2b32225c

Observation 4d482b9e-9236-463a-be24-ebafa40fb9d1 · outbound

This paper cites Tighter bounds for the discrepancy of boxes and polytopes.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Tighter bounds for the discrepancy of boxes and polytopes

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:43.549626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.571956Z digest=sha256:ecfc1af70e69624506f66c674b773d4e0e2ffbffec887566362507fbccc16bdd

Observation e7fd8d8d-df1a-49eb-91d9-730c2a1475fe · outbound

This paper cites Beck's three permutations conjecture: A counterexample and some consequences.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Beck's three permutations conjecture: A counterexample and some consequences

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:43.377151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.639287Z digest=sha256:f402a7101448548e6b0fb2640abd9f993e671b8277125cae967f88e59b7273e0

Observation ff9e0311-5e1d-4b91-abe6-d6c221ae2e5c · outbound

This paper cites The geometry of differential privacy: the sparse and approximate cases.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The geometry of differential privacy: the sparse and approximate cases

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:43.238874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.748454Z digest=sha256:28945e39f178bacb81316d1ca5f2401d9a3ee6519b3ee6d31b56fb67e505c4e8

Observation a8785d33-b19a-4ef9-8e74-155af6ac5eca · outbound

This paper cites A spectral bound on hypergraph discrepancy.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk A spectral bound on hypergraph discrepancy

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:43.010544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.849491Z digest=sha256:d3b43759925d0e5f2def438086ef6494af3b6a6c152332b9196cc442118f5a83

Observation 12a6c73e-a76d-4a5a-b5e9-73ee99740cc9 · outbound

This paper cites Near-optimal coresets of kernel density estimates.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Near-optimal coresets of kernel density estimates

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:42.703941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:39.922419Z digest=sha256:12c630e06dc5e7e462d68660630c954ffd554dd9f1e2abbb480ccfb5082d4de8

Observation fcc60386-68f0-4e1c-a9d8-27ca128e96e9 · outbound

This paper cites Discrepancy minimization via regularization.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Discrepancy minimization via regularization

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:42.434977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.029449Z digest=sha256:b357742ad1ec62226b073661d9a91e08bd3532c51625079372e26526bb03b53a

Observation 91afb779-7d82-471e-9a66-b4f947749914 · outbound

This paper cites Better bin packing approximations via discrepancy theory.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Better bin packing approximations via discrepancy theory

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:42.168017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.120326Z digest=sha256:ff2e7d175d7031fb1e42771485a93149830bc063bceb94e8e2cb3d9d178400e4

Observation f4d7b2c2-a592-4ace-a4d3-2d9ea59eac0b · outbound

This paper cites Constructive discrepancy minimization for convex sets.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Constructive discrepancy minimization for convex sets

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T01:07:40.223583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T01:07:40.223583Z digest=sha256:ac03954cb882927b9af779350e02bed77747f74d4a33e3b5969f398db29ad102

Observation c3aad13c-33b0-45d9-b102-92c7fa17baef · outbound

This paper cites Linear size sparsifier and the geometry of the operator norm ball.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Linear size sparsifier and the geometry of the operator norm ball

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:41.939631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.321968Z digest=sha256:9455ef3a48341b7527e8960f90bba742ee1b895b08a9c77272319b5a68e3cd1b

Observation e588fe5d-b5fd-42d2-8946-a77dc0c6247d · outbound

This paper cites Six standard deviations suffice.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Six standard deviations suffice

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:41.770932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.435617Z digest=sha256:1faa19ccfad07dde7363c564a8ee401f4e7a21412b6502f159ac9c2dd2f1c5cc

Observation 6809d514-01d8-4ab1-9268-b595f84456f2 · outbound

This paper cites Improving the discrepancy bound for sparse matrices: Better approximations for sparse lattice approximation problems.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Improving the discrepancy bound for sparse matrices: Better approximations for sparse lattice approximation problems

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:41.554746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.525611Z digest=sha256:268efe0e221a9e0ea8e8198b34a49a5a539747530af3af7ec18a08b3979de0a4

Observation c9f1a975-fbcb-492d-a49a-70a76e109453 · outbound

This paper cites The E rd\"os discrepancy problem.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk The E rd\"os discrepancy problem

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:41.299336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.581758Z digest=sha256:32e65d73612a2b82256130f90fdd02c387e00000d6402f7f5b5908cb982e30fc

Observation 215f4539-d44d-4b1c-bb51-2ac0606b4087 · outbound

This paper cites Balancing gaussian vectors in high dimension.

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk Balancing gaussian vectors in high dimension

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T01:07:41.114114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-06T01:07:40.686676Z digest=sha256:7719209f2c031d3cfe4607ad195367f3433da5bbe6a8dcfba935e81706f6a8d5

Pith citing papers

Observation 7f4fc7a5-eee9-48c6-8b4a-b917ae9f981b · inbound

Algorithms for Standard-form ILP Problems via Koml\'os' Discrepancy Setting cites this paper.

Algorithms for Standard-form ILP Problems via Koml\'os' Discrepancy Setting Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

Reference 3

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T08:30:57.402649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-10T16:36:12.361308Z digest=sha256:16ad7506bce70fc98f1bc21f3b2267a48595729bc23a8a65044b519266141333

Observation d714cbb7-8430-4c99-aca9-84367ed623e6 · inbound

Algorithms for Standard-form ILP Problems via Koml\'os' Discrepancy Setting cites this paper.

Algorithms for Standard-form ILP Problems via Koml\'os' Discrepancy Setting Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T16:43:38.099392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-02T16:43:38.099392Z digest=sha256:af68b1a0b03615f530ee6bf71efceb68eadb43d1f469dfdc8375638e7f5a73c9

Observation 00fcd006-e8f8-4bd6-a1df-363caef5ff3b · inbound

Optimal Vector Balancing for Zonotopes cites this paper.

Optimal Vector Balancing for Zonotopes Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-25T02:16:32.888098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-25T02:16:00.467522Z digest=sha256:7a7df3b87453e50eff4568b17cbe95f6d31b51f25f7e1424c0db20df99511215

Observation 0be28816-e7ff-427c-953f-55dfbdadf10f · inbound

Greedy Vector Balancing cites this paper.

Greedy Vector Balancing Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

Reference 55

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T23:39:04.790617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-06-26T21:50:30.086697Z digest=sha256:2a221c4fa7cf52c0f6e11a4f7d037ab5f6dd290fd6e59989dd53009f02949823

Observation 86eb93b7-3032-4d07-bd4f-65c1115633cb · inbound

Online Beck--Fiala Down to Logarithmic Sparsity cites this paper.

Online Beck--Fiala Down to Logarithmic Sparsity Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.533794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.533794Z digest=sha256:a08d6a2b2394dc49e8928e329d947898488a003b8c2ff2aa21bbc85d5d94c3f6

Observation 708fe371-2a20-432d-be73-26eac1d8a3bc · inbound

Online balancing of vectors with small coordinates cites this paper.

Online balancing of vectors with small coordinates Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T00:18:05.896158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:18:05.896158Z digest=sha256:8f67fd8a342c2260588747bb5009377895a04b035b5a49ce819aab33e2be2b0f