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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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.765640Z digest=sha256:3cc6d559a715a30031b974d9274c0ecde0e9e1316300665769893b2a0c5b62e8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.775433Z digest=sha256:35c9ee5cd847857dec3dfc2ecbf4f51cbb6051b3a521a5c74ed0d2d41efc3658

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.787909Z digest=sha256:151ff8b8d957dedfcbbf4cf84f34c0e2fb683dd023dd64380d431f13a1fc695f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.797710Z digest=sha256:7ac5be723fe4be0abfa6d451ab4eccb12801194b3a50a4f2ed7cdd146df678d2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.812175Z digest=sha256:d8ea4097519450a36cb8ce9556cc7453ed7f6fa0477f72a96084a6c942e6a3b9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.819264Z digest=sha256:00fb63c6c3424455c3349100aae078fa6470942375b850262d931ce8a23e467d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.824837Z digest=sha256:f6fc71ba855a3ecaa1dc44cd84661230359661f6a6cbaac15ce99a61a62cc2e1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.829504Z digest=sha256:e9402809d0d7ed53b7c4bff5bc3ee26d9ff32e2ca1667bd85ff88a3f0e7a42c8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.834744Z digest=sha256:0a166f8c3fb7b41da95c4afee0af8a0bad6252f8315acbc2ca28a3f84ca1521d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.840524Z digest=sha256:0788cc3e3889fd899bf13aa51b82ace04eb3e6fdac79cd3fa33ea599adee038c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.844652Z digest=sha256:d7708b981a8172ce9c9dbe2caa41eed087bc54ea1a6495683d80395971d39452

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.848557Z digest=sha256:2cff719468c9bbe87704e623ba4b6e98f38e37cb61a3809b9ebb934ef807bf05

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.852975Z digest=sha256:aa7efa7c45b8f3606d5159b60b7c74f6073c23edd9a4ab6b7e3ff17d516bba24

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.857956Z digest=sha256:dc76837761adedddbb84f4b40d4d7cab52c8d27c80d10ae9403a7fda12e412b4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T15:09:50.862188Z digest=sha256:022eaa828ec3e8cd68a88fc53bcde85b0d7b899307382e97fa12205b6fd01613

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-09T16:48:29.266701Z digest=sha256:380cc1649a9293adcfcf49b5f43808ffebafb3839913f458ed8b6e7e02e512c8

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