Paper Citation Record · LEDGER

Optimal Online Discrepancy Minimization in Linear Time

As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 2 inbound Pith citation observations for arXiv:2607.04388.

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

pith.paper-citation-record.v1
2607.04388 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T19:32:06.887338Z

measured 34 of 34 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 2026-08-16T00:18:05.857196Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T00:18:06.107214Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy0
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bde6597e-8916-44e3-b621-a72df2cba20c · outbound

This paper cites Optimal Online Discrepancy Minimization , booktitle =.

Optimal Online Discrepancy Minimization in Linear Time Optimal Online Discrepancy Minimization , booktitle =

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cb9e9fd-50f2-409b-89eb-c93a04004f0e · outbound

This paper cites Decoupling via Affine Spectral-Independence:.

Optimal Online Discrepancy Minimization in Linear Time Decoupling via Affine Spectral-Independence:

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c238822c-76d6-43ba-9107-a46624548432 · outbound

This paper cites an unresolved cited work.

Optimal Online Discrepancy Minimization in Linear Time Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97d56bd7-459b-4fae-bcfc-796ef938cf9e · outbound

This paper cites Liu and Mehtaab Sawhney , editor =.

Optimal Online Discrepancy Minimization in Linear Time Liu and Mehtaab Sawhney , editor =

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0119c9d-9863-42c7-8cdf-5fec47524778 · outbound

This paper cites Liu and Ashwin Sah and Mehtaab Sawhney , editor =.

Optimal Online Discrepancy Minimization in Linear Time Liu and Ashwin Sah and Mehtaab Sawhney , editor =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e2b2ac9-fa17-4d32-b189-f383943a77ce · outbound

This paper cites Random Struct.

Optimal Online Discrepancy Minimization in Linear Time Random Struct

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afe91e8e-ef5c-4c26-b11d-3674ce5605e0 · outbound

This paper cites Deterministic Discrepancy Minimization via the Multiplicative Weight Update Method , booktitle =.

Optimal Online Discrepancy Minimization in Linear Time Deterministic Discrepancy Minimization via the Multiplicative Weight Update Method , booktitle =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52c49443-16bf-447a-b8e7-2570eb947d13 · outbound

This paper cites Theory Comput.

Optimal Online Discrepancy Minimization in Linear Time Theory Comput

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8fee964-a880-4f2a-9204-d6c34b2b2675 · outbound

This paper cites an unresolved cited work.

Optimal Online Discrepancy Minimization in Linear Time Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c085cc7-5f8b-4404-90cb-95b9e4be60d5 · outbound

This paper cites Theory Comput.

Optimal Online Discrepancy Minimization in Linear Time Theory Comput

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 672015b4-8642-4123-8d63-a97991cf5896 · outbound

This paper cites Vempala , editor =.

Optimal Online Discrepancy Minimization in Linear Time Vempala , editor =

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e1185ec-3b17-4a97-bdf5-60fa14533128 · outbound

This paper cites Discrepancy Minimization via Regularization , booktitle =.

Optimal Online Discrepancy Minimization in Linear Time Discrepancy Minimization via Regularization , booktitle =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3b165cd-a137-4175-8b5d-3bce6cab00ff · outbound

This paper cites Spencer , title =.

Optimal Online Discrepancy Minimization in Linear Time Spencer , title =

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09a85842-da57-484d-b8a1-7020cc87cb8c · outbound

This paper cites Altschuler and Konstantin E.

Optimal Online Discrepancy Minimization in Linear Time Altschuler and Konstantin E

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 689e90aa-0108-407e-acbe-3aa005dbee91 · outbound

This paper cites Online vector balancing and geometric discrepancy , booktitle =.

Optimal Online Discrepancy Minimization in Linear Time Online vector balancing and geometric discrepancy , booktitle =

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 804e10e1-eeee-463c-a832-765c84a5d3a8 · outbound

This paper cites Online Discrepancy Minimization for Stochastic Arrivals , booktitle =.

Optimal Online Discrepancy Minimization in Linear Time Online Discrepancy Minimization for Stochastic Arrivals , booktitle =

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd414836-7986-49e1-808d-1e304a89b4e3 · outbound

This paper cites Liu, and Mehtaab Sawhney.

Optimal Online Discrepancy Minimization in Linear Time Liu, and Mehtaab Sawhney

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a15a6f3f-f6ef-4f8b-907d-3177c6e6517a · outbound

This paper cites Altschuler and Konstantin E.

Optimal Online Discrepancy Minimization in Linear Time Altschuler and Konstantin E

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ee3b3a5-9c25-4a0c-8b24-7e9c4049cf90 · outbound

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

Optimal Online Discrepancy Minimization in Linear Time Balancing vectors and Gaussian measures of n-dimensional convex bodies

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5a669d0-75d8-45e1-b28a-cd0a72f868b7 · outbound

This paper cites An algorithm for Koml \' o s conjecture matching Banaszczyk 's bound.

Optimal Online Discrepancy Minimization in Linear Time An algorithm for Koml \' o s conjecture matching Banaszczyk 's bound

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cf4bbfd-cd05-4d14-bfad-3623a1135679 · outbound

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

Optimal Online Discrepancy Minimization in Linear Time The Gram-Schmidt walk: A cure for the Banaszczyk blues

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 269a94e0-4b62-4260-8c89-6708bdec2a43 · outbound

This paper cites Decoupling via affine spectral-independence: Beck-Fiala and Koml \' o s bounds beyond Banaszczyk.

Optimal Online Discrepancy Minimization in Linear Time Decoupling via affine spectral-independence: Beck-Fiala and Koml \' o s bounds beyond Banaszczyk

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 94a11ca7-2c3b-40c0-9565-843f6823fd54 · outbound

This paper cites Online discrepancy minimization for stochastic arrivals.

Optimal Online Discrepancy Minimization in Linear Time Online discrepancy minimization for stochastic arrivals

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a246cc7-e14b-4438-9cb9-bc705c2fdc52 · outbound

This paper cites Online vector balancing and geometric discrepancy.

Optimal Online Discrepancy Minimization in Linear Time Online vector balancing and geometric discrepancy

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c488e903-93b4-4d63-9567-448ba53e7f44 · outbound

This paper cites an unresolved cited work.

Optimal Online Discrepancy Minimization in Linear Time Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49607f88-2396-4514-bcea-8e9c13b01db9 · outbound

This paper cites an unresolved cited work.

Optimal Online Discrepancy Minimization in Linear Time Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e83a9b78-3c5e-4d43-a7d9-a3ee2cfd44df · outbound

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

Optimal Online Discrepancy Minimization in Linear Time Towards a constructive version of Banaszczyk 's vector balancing theorem

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca1bf754-f97e-41a9-9eff-56573e01f89c · outbound

This paper cites Optimal online discrepancy minimization.

Optimal Online Discrepancy Minimization in Linear Time Optimal online discrepancy minimization

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 764301a3-149e-4bb2-bfed-a85173ea359f · outbound

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

Optimal Online Discrepancy Minimization in Linear Time Deterministic discrepancy minimization via the multiplicative weight update method

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7141c8ac-06f0-42a4-9032-57418307e9fa · outbound

This paper cites Liu, Ashwin Sah, and Mehtaab Sawhney.

Optimal Online Discrepancy Minimization in Linear Time Liu, Ashwin Sah, and Mehtaab Sawhney

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef9b17cc-70c1-4738-b027-91648268de3e · outbound

This paper cites Discrepancy minimization via regularization.

Optimal Online Discrepancy Minimization in Linear Time Discrepancy minimization via regularization

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45d0679b-e75d-4ea6-af6b-35c806729b7c · outbound

This paper cites Balancing games.

Optimal Online Discrepancy Minimization in Linear Time Balancing games

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-11T19:32:06.887338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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

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

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.

Observation df4ec9c4-813f-43d8-870d-58117b735417 · inbound

Online balancing of vectors with small coordinates cites this paper.

Online balancing of vectors with small coordinates Optimal Online Discrepancy Minimization in Linear Time

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:18:06.112442Z

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.