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Paper Citation Record · LEDGER

The GameTheory package for Macaulay2

As of 23 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2507.16755.

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

pith.paper-citation-record.v1
2507.16755 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:09:50.862188Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:48:16.007508Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T16:26:09.722486Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact1
  • verified fuzzy13
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 996016e4-ea53-4fac-9bdc-1238c2fc5a91 · outbound

This paper cites A vector bundle approach to nash equilibria.

The GameTheory package for Macaulay2 A vector bundle approach to nash equilibria

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T15:09:41.663861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:09:41.663861Z digest=sha256:a1516c33052915a0a8b38f970e9485bc5415d75279819a7f67849faab7af3404

Observation 9c4da041-5e34-4272-b4cb-1a528df0468a · outbound

This paper cites Subjectivity and correlation in randomized strategies.

The GameTheory package for Macaulay2 Subjectivity and correlation in randomized strategies

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.299777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.765640Z digest=sha256:4dc05bc255e5011a596fb5a0364dc56dfb1cac59e0a962c4ac1f7e20b65a2227

Observation 742cc385-5f7d-4f1e-91fb-607a743dde7d · outbound

This paper cites Correlated equilibrium as an expression of bayesian rationality.

The GameTheory package for Macaulay2 Correlated equilibrium as an expression of bayesian rationality

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.282882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.775433Z digest=sha256:5fe11f6326145ddf2d64391013cb50325adcb9425192a9d6618aa73cf6e6e383

Observation c5fd7205-4408-405f-acbb-0b4e47db1021 · outbound

This paper cites an unresolved cited work.

The GameTheory package for Macaulay2 Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:09:51.265229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.787909Z digest=sha256:d05dd652c7a693598d3f30a1a54aad0aebbb2efe87008beed607a0f494028989

Observation 7d449d79-d1d3-4296-89ae-776d3dcf3d21 · outbound

This paper cites Combinatorics of correlated equilibria.

The GameTheory package for Macaulay2 Combinatorics of correlated equilibria

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.249974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.797710Z digest=sha256:85d02dadaec1b62fd8da07fa49f65f4a5c3e521674845274bff36c6021aa4752

Observation faf08579-0d64-492d-aac1-4bc99d6a2ef3 · outbound

This paper cites GameTheory: computing equilibria in game theory.

The GameTheory package for Macaulay2 GameTheory: computing equilibria in game theory

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.235399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.812175Z digest=sha256:ae2117809d0bb67729c9f4781e622da50e239a7187d67caf806202b299b5c54f

Observation c67e9253-aece-42d4-9c2a-c2677bcc68d3 · outbound

This paper cites Elliptic curves in game theory.

The GameTheory package for Macaulay2 Elliptic curves in game theory

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-06T15:09:50.906411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.819264Z digest=sha256:93be0ff963e3d226a0388e387ff13291882e355540048e99166dc26bf7f5c4f8

Observation 603d4947-b0cf-4fa7-bd1c-4e6c7458dac2 · outbound

This paper cites The maximal number of regular totally mixed nash equilibria.

The GameTheory package for Macaulay2 The maximal number of regular totally mixed nash equilibria

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.219681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.824837Z digest=sha256:6847052ae8fa8c2a980b8a449297af0513d4523ec82eb6c91908dd7460b09cbb

Observation 36185b97-62bf-4942-b83b-a52690225f09 · outbound

This paper cites Advanced fixed point theory for economics, volume 25.

The GameTheory package for Macaulay2 Advanced fixed point theory for economics, volume 25

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.203194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.829504Z digest=sha256:247fb22d158b2f39b64e70badff6a5fb939473c40ea1a3e7b56808eee2a535d3

Observation d06e24d1-3e7b-460e-80dd-3b2c1fda6171 · outbound

This paper cites Vazirani, editors.Algorithmic Game Theory.

The GameTheory package for Macaulay2 Vazirani, editors.Algorithmic Game Theory

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.187433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.834744Z digest=sha256:983f57426ea8d98fbf768793e035451b451220d33b6e05c68459931b8f4bc726

Observation e991805b-e55f-4bc7-b1bd-06b03a067bf5 · outbound

This paper cites Nash conditional independence curve.

The GameTheory package for Macaulay2 Nash conditional independence curve

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.168883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.840524Z digest=sha256:4066fafa3bb3ce3d6b6073a7a44b24fd6f9fd34642329eab4739639e79aaa237

Observation 0dfd6d43-0d5a-447e-ad99-7f331fc62912 · outbound

This paper cites Game theory of undirected graphical models.

The GameTheory package for Macaulay2 Game theory of undirected graphical models

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.147553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.844652Z digest=sha256:dd3a94ea3313fe5d59657bcffb90f5c881d6336bd2e3147198e5147b4a0e5a76

Observation 14c32a07-bcfa-4163-b0f4-5eaeec5b9fbc · outbound

This paper cites Geometry of dependency equilibria.Rendiconti dell’Istituto di Matematica dell’Universit`a di Trieste: an International Journal of Mathematics, 54, 2022.

The GameTheory package for Macaulay2 Geometry of dependency equilibria.Rendiconti dell’Istituto di Matematica dell’Universit`a di Trieste: an International Journal of Mathematics, 54, 2022

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.130526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.848557Z digest=sha256:d64ebc9938a6249ab167271d561b187ec812c82f6d85f0b0700e1548821f3638

Observation d2b653f6-6712-4b87-9f54-8985f1735e9b · outbound

This paper cites Dependency equilibria.

The GameTheory package for Macaulay2 Dependency equilibria

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.116116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.852975Z digest=sha256:5d523fa8c07a98e150c9075b4faba9de2267e23831ac8bfc9564fc361b9f6aa9

Observation 32c19078-3ed3-4f4d-ad49-616cd5056675 · outbound

This paper cites Solving Systems of Polynomial Equations, volume 97 of CBMS Regional Conference Series in Mathematics.

The GameTheory package for Macaulay2 Solving Systems of Polynomial Equations, volume 97 of CBMS Regional Conference Series in Mathematics

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.101752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.857956Z digest=sha256:31a609039e9f0d9b1c34394efbe71f40c43a4e3c45ba7ce875b84094a324488b

Observation f37d97da-3ed9-46b7-a811-4b51fa99a2ba · outbound

This paper cites Sullivant.

The GameTheory package for Macaulay2 Sullivant

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:09:51.086758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:09:50.862188Z digest=sha256:7a9977a071c548d01b6804c6c22aef631278d8f7d13b5d735c83b4bb622d89f9

Pith citing papers

Observation 262128c2-d4e9-45df-a264-6bd0ef0bbb3b · inbound

Tropical Degenerations of Network Games:Valuation Classes and Equilibrium Coalescence cites this paper.

Tropical Degenerations of Network Games:Valuation Classes and Equilibrium Coalescence The GameTheory package for Macaulay2

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:26:09.725204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-05-09T16:48:29.266701Z digest=sha256:bd3b957d3096bbf2adfdfeb27c9c1e0cdc5bb651e119eb1367845548632b04cf

Observation 4b471190-42be-4d25-8312-f8695f683cac · inbound

On the dimensions of correlated equilibrium polytopes of generic games cites this paper.

On the dimensions of correlated equilibrium polytopes of generic games The GameTheory package for Macaulay2

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:16.007508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T14:48:16.007508Z digest=sha256:5731e6e159043ccda74b2ae6dba762b5a82a5ee1af4bb3e6a9b0a374fab15ac0