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Paper Citation Record · LEDGER

Online Beck--Fiala Down to Logarithmic Sparsity

As of 20 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 2 inbound Pith citation observations for arXiv:2607.14238.

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

pith.paper-citation-record.v1
2607.14238 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T02:55:27.037482Z

measured 11 of 11 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:18:05.866648Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:19:04.603317Z

Reference resolution

9 of 9 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6e47e8da-6c6a-4bd0-8a47-8225c8c7fead · outbound

This paper cites Optimal Online Discrepancy Minimization in Linear Time.

Online Beck--Fiala Down to Logarithmic Sparsity Optimal Online Discrepancy Minimization in Linear Time

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.131602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.131602Z digest=sha256:0083ee79e5ffbc34948bed629df7a1f011e30028c0067b9a3be66c9379fc918f

Observation 11fba142-543b-46e0-86e5-b2c16fed0db0 · outbound

This paper cites Alweiss, Y.

Online Beck--Fiala Down to Logarithmic Sparsity Alweiss, Y

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.203077Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.203077Z digest=sha256:aa69b4f3d6029c200b4967067002bc67086e17f8f9dd26a1a0b3274e27195ea0

Observation de1d5209-2134-4440-87e2-5d0ecd26ca76 · outbound

This paper cites Banaszczyk,Balancing vectors and Gaussian measures ofn-dimensional convex bodies, Random Structures & Algorithms 12 (1998), 351–360.

Online Beck--Fiala Down to Logarithmic Sparsity Banaszczyk,Balancing vectors and Gaussian measures ofn-dimensional convex bodies, Random Structures & Algorithms 12 (1998), 351–360

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.328544Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.328544Z digest=sha256:25155d84c43b40896b65500928199c1cfb14c5d31c16be1c2df19127b12e34cb

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

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

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 bd9ef495-cce2-49fb-ae78-7758f9b035c0 · outbound

This paper cites On-Line Balancing of Random Inputs.

Online Beck--Fiala Down to Logarithmic Sparsity On-Line Balancing of Random Inputs

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.616334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.616334Z digest=sha256:46a0daa990d8530d53838ad54d3e956a504a8bd26358d5c111253eae42ea4321

Observation 7201bb05-130b-48a8-ad69-a39f0030af02 · outbound

This paper cites Integer-making.

Online Beck--Fiala Down to Logarithmic Sparsity Integer-making

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.728365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.728365Z digest=sha256:83b89639e8e3d3d334bbaf0ed1265a3b3e7cad160493602303f57df352662f85

Observation 82a4f530-046c-4548-901d-e1bbd91139a8 · outbound

This paper cites Optimal Online Discrepancy Minimization.

Online Beck--Fiala Down to Logarithmic Sparsity Optimal Online Discrepancy Minimization

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.859404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.859404Z digest=sha256:0235af458c5cb255235a7b9c92a3ea45a636871e7bb88e99a5fe29b11420068a

Observation cb866fcb-2949-417a-b46f-1fd9ae9b91dc · outbound

This paper cites an unresolved cited work.

Online Beck--Fiala Down to Logarithmic Sparsity Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:26.972127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:26.972127Z digest=sha256:e2901b9966120105911d22076b7bc73fa2138cfa52899e3a19ef9b9fcfba050b

Observation 37e4ea06-01ba-43e8-a8d5-9853da6b6bce · outbound

This paper cites Discrepancy and Fisher information.

Online Beck--Fiala Down to Logarithmic Sparsity Discrepancy and Fisher information

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-02T02:55:27.037482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T02:55:27.037482Z digest=sha256:21a1c4f9f4a48881e86165ed9ba975813b139251f1fd2ef1b4a828f19fc8b391

Pith citing papers

Observation f9f053f6-5870-4b6a-8ddd-6a173287ceb4 · inbound

Online Discrepancy Minimization for Sub-Gaussian Inputs via Regularization and Restriction cites this paper.

Online Discrepancy Minimization for Sub-Gaussian Inputs via Regularization and Restriction Online Beck--Fiala Down to Logarithmic Sparsity

Reference 8

Resolution
metadata mismatch
local_arxiv, observed 2026-08-14T04:19:04.625204Z

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=2026-08-14T04:19:00.992046Z digest=sha256:2fdc755ab1d17f9838504d033c3e7c5bfb8d6c59ab20dd2be8a3f2fd8164f8bb

Observation 6910d8f1-4596-49e4-aba9-61ec9d85c742 · inbound

Online balancing of vectors with small coordinates cites this paper.

Online balancing of vectors with small coordinates Online Beck--Fiala Down to Logarithmic Sparsity

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-16T00:18:05.866648Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:18:05.866648Z digest=sha256:7d1a36d638bf4f05fe65579be2a2ec15db9224b863f63b807bd11b7fb3cc3ac9