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Paper Citation Record · LEDGER

Blackwell's Approachability with Approximation Algorithms

As of 9 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2502.03919.

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

pith.paper-citation-record.v1
2502.03919 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T00:26:51.570509Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-12T00:59:04.664288Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T08:36:24.049420Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy12
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7811ae33-d7c5-45a3-9f8b-e0a1043bd550 · outbound

This paper cites Blackwell approachability and no-regret learning are equivalent.

Blackwell's Approachability with Approximation Algorithms Blackwell approachability and no-regret learning are equivalent

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.767881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.518942Z digest=sha256:92c2985fa07cabbe1c250a9666eae115c45d74263f6c6c2eb8b9eb5615259552

Observation fd447a1d-0596-4e8a-9db6-3ee4760ddae4 · outbound

This paper cites A linear-time approximation algorithm for the weighted vertex cover problem.

Blackwell's Approachability with Approximation Algorithms A linear-time approximation algorithm for the weighted vertex cover problem

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.757003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.523285Z digest=sha256:26f0251cdf0b1f02981692756e112bd778a8d200ee024e2e0cb8752f6a6de59d

Observation 427f2d97-49a3-4a9c-a917-64d9e54c0688 · outbound

This paper cites An analog of the minimax theorem for vector payoffs.

Blackwell's Approachability with Approximation Algorithms An analog of the minimax theorem for vector payoffs

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.745504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.526994Z digest=sha256:6647159c6df5ce3a79e728ae00ff4a201c56b8dd095ea1dc597e1d88d79ecc6f

Observation 13473743-8e6e-4d42-8ad0-83c844515157 · outbound

This paper cites Convex optimization.

Blackwell's Approachability with Approximation Algorithms Convex optimization

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-09T00:26:51.530429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T00:26:51.530429Z digest=sha256:e6a2dbace9b5192d770d6f4e3e11d7a2ea51002e6c03d7f624196bcee3e37186

Observation b818b11c-6310-432d-8524-01b0f63804e4 · outbound

This paper cites Cam- bridge university press, 2006.

Blackwell's Approachability with Approximation Algorithms Cam- bridge university press, 2006

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.728040Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.534092Z digest=sha256:77f9ece9119caa44f6c866df78f42811f2891f4db5f15102cac8ad178ff05ba6

Observation fe4729ee-18db-4c6c-a364-dd614a9ddd81 · outbound

This paper cites Efficient online linear optimization with approximation algo- rithms.

Blackwell's Approachability with Approximation Algorithms Efficient online linear optimization with approximation algo- rithms

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.717668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.537326Z digest=sha256:0cd36181a9a76b0d469ad77d5a2b2cada8eae5a4a8e69aeb916a21c4227475d5

Observation 6cac012e-23c2-4e6a-b08d-a927d2c5aa94 · outbound

This paper cites Approximate Convex Optimization by Online Game Playing.

Blackwell's Approachability with Approximation Algorithms Approximate Convex Optimization by Online Game Playing

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-09T00:26:51.619248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.540950Z digest=sha256:1e6861c83d1988496e49ac5a8ff2d8477bce5ecea913a8205d03b39243491647

Observation f77a9955-5b13-4fd6-ac7a-d0a96d12721e · outbound

This paper cites Introduction to Online Convex Optimization.

Blackwell's Approachability with Approximation Algorithms Introduction to Online Convex Optimization

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-09T00:26:51.544940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T00:26:51.544940Z digest=sha256:9f320c671c91be9659748c0a9db1263423654e7a0bdbf820280cd41aaa975c2b

Observation 9a8ae9f2-f2e1-4251-85ae-82399d48d677 · outbound

This paper cites Online improper learning with an approximation oracle.

Blackwell's Approachability with Approximation Algorithms Online improper learning with an approximation oracle

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.707876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.549002Z digest=sha256:88bdae663a5e93743b3d30fa7ff04dfcc1b11da530df50f50fe260fecffb6cc6

Observation e4cd0636-a553-4846-b05d-bfa8479d683b · outbound

This paper cites Playing games with approximation algorithms.

Blackwell's Approachability with Approximation Algorithms Playing games with approximation algorithms

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.696791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.552538Z digest=sha256:5cf61aa0eec7926bbb0556068f37ce614b2520dae2ff0a4826360d2c382d02d5

Observation 7443049e-4d00-4f12-9887-a5d2b67dbbde · outbound

This paper cites Game theory.

Blackwell's Approachability with Approximation Algorithms Game theory

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.683780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.555953Z digest=sha256:58b9a14436c54ab20e4092416198b840139d8848f3d4f002cdf7c19f3d9e3dd0

Observation 672abd72-49e6-48e5-a34d-6e40470089ce · outbound

This paper cites Approachability, regret and calibration: Implications and equivalences.

Blackwell's Approachability with Approximation Algorithms Approachability, regret and calibration: Implications and equivalences

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.671966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.559541Z digest=sha256:6dcaa040b090c9ae31a6b2dc34f30e6a876d5dea279b8a985e9ba96c23ac5ffb

Observation f9308901-e81f-41e1-8a0c-30099e025f96 · outbound

This paper cites An online convex optimization approach to blackwell’s ap- proachability.

Blackwell's Approachability with Approximation Algorithms An online convex optimization approach to blackwell’s ap- proachability

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.658385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.563255Z digest=sha256:a672fe67233f88823794c21825ea2bb32f13c42f9e21fb3631e552eea089eb16

Observation aafb47d3-0051-4950-9c55-318e83d06c6b · outbound

This paper cites ℓ nX j=1 xjej, mX k=1 ykek !# i =.

Blackwell's Approachability with Approximation Algorithms ℓ nX j=1 xjej, mX k=1 ykek !# i =

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.644845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.566933Z digest=sha256:6ef0418f5ee023a44c020e20c32e455f337f7b8a848525741d4a7695f6734edd

Observation f42086c5-b0cc-4655-83ac-564fc4ddfca9 · outbound

This paper cites 22 Proof.

Blackwell's Approachability with Approximation Algorithms 22 Proof

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T00:26:51.631578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-09T00:26:51.570509Z digest=sha256:ff46f54175e2920dc81c8f4c20e00a7062a5433ac177d81dc409700f23d071b0

Pith citing papers

Observation c1841935-1dc4-45cc-adc9-3fff8252c80d · inbound

Online Scalarization in Vector-Valued Games cites this paper.

Online Scalarization in Vector-Valued Games Blackwell's Approachability with Approximation Algorithms

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:51:31.605134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T04:00:49.769114Z digest=sha256:b9d715e1a85e95fb7d040f5c6b40e7e2f6e02cea53b4d3864a7d22fa98032368

Observation e2972595-9cf7-4949-92f1-9d7d5255c92b · inbound

Online Scalarization in Vector-Valued Games cites this paper.

Online Scalarization in Vector-Valued Games Blackwell's Approachability with Approximation Algorithms

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-12T08:36:24.052234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-12T00:59:04.664288Z digest=sha256:ece43a5023d2a91ad728ec45d0e4138300c888b59c8e0ab8566569393cd9f5ea