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Paper Citation Record · LEDGER

Elliptic curves in game theory

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 1 inbound Pith citation observation for arXiv:2501.14612.

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

pith.paper-citation-record.v1
2501.14612 v2

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:05:34.302268Z

measured 19 of 19 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:09:50.819264Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:09:50.899589Z

Reference resolution

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy16
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29e07097-8c68-42a7-8545-710a680e3cb0 · outbound

This paper cites Baldi, B.

Elliptic curves in game theory Baldi, B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.611273Z

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=2026-08-10T15:05:34.221081Z digest=sha256:77fde0593a159f9023aced634c2c08dc13f7358544e1b1c2a9809fbb8bbe373c

Observation beffe173-fd4a-43d0-b1e8-0436376d9c22 · outbound

This paper cites Brady: https://www.notzeb.com/aronhold.html, Last accessed: July 1, 2025.

Elliptic curves in game theory Brady: https://www.notzeb.com/aronhold.html, Last accessed: July 1, 2025

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.596131Z

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=2026-08-10T15:05:34.226815Z digest=sha256:1c4f3722f245d051bc82f632affd140cb963d4627341fab0e9befffda53fa9f4

Observation f838fdd9-aca1-4ce7-a43f-548d359004dd · outbound

This paper cites Chan: https://www.math.brown.edu/mchan2/j_formula.txt, Last accessed: July 1, 2025.

Elliptic curves in game theory Chan: https://www.math.brown.edu/mchan2/j_formula.txt, Last accessed: July 1, 2025

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.581229Z

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=2026-08-10T15:05:34.231975Z digest=sha256:82b76aa975c3f8e447f80ec009998555ad8adef757c6fa6f1bb7de2ebefcf6d5

Observation 56253ab1-9652-4285-b434-43bb916ad46d · outbound

This paper cites Cohen: Number theory: Volume I: Tools and Diophantine Equations, Graduate Texts in Mathematics, vol.

Elliptic curves in game theory Cohen: Number theory: Volume I: Tools and Diophantine Equations, Graduate Texts in Mathematics, vol

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.565666Z

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=2026-08-10T15:05:34.237514Z digest=sha256:8c7f46f93df2701bb696af1205c6173931e18dff4e50d1a2146c4c5843b88f9f

Observation a699f553-b5a2-458b-b473-0cc79247f582 · outbound

This paper cites Das: Computational number theory, Discrete Mathematics and Its Applications, CRC Press , 2013.

Elliptic curves in game theory Das: Computational number theory, Discrete Mathematics and Its Applications, CRC Press , 2013

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.550557Z

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=2026-08-10T15:05:34.242749Z digest=sha256:f45720dfd38769f150feb2f97b621dc2c40cb0f6aa78e92a5e4a7ba2c3187aae

Observation bb26994f-2f8e-4483-8960-f3533269b40c · outbound

This paper cites Grayson, M.

Elliptic curves in game theory Grayson, M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.535380Z

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=2026-08-10T15:05:34.247517Z digest=sha256:42f916893f446d0fb8ac07fb0b8230f172b480b087d774630e9cce84f4a4f120

Observation 6f651151-d0e4-4d69-b036-078ec98fac4f · outbound

This paper cites Kidambi, E.

Elliptic curves in game theory Kidambi, E

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.519249Z

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=2026-08-10T15:05:34.252494Z digest=sha256:654b9abe766c78feaa43277a5ae9b012dbbc452fa87a0374ee52feeb12834212

Observation 85fceaa0-eb5e-4b33-a202-fcb7898b415a · outbound

This paper cites Explicit transformation of an intersection of two quadrics to an elliptic curve in Weierstrass form.

Elliptic curves in game theory Explicit transformation of an intersection of two quadrics to an elliptic curve in Weierstrass form

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-10T15:05:34.345863Z

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=2026-08-10T15:05:34.257015Z digest=sha256:81e3c009417173e79881ca61a50d2c32353daca88a47bb06776c979a10960192

Observation 452a1978-9a2d-4832-bd61-0124681217e0 · outbound

This paper cites Mangolte: Real algebraic varieties, Springer Monographs in Mathematics, Springer , 2020.

Elliptic curves in game theory Mangolte: Real algebraic varieties, Springer Monographs in Mathematics, Springer , 2020

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.503535Z

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=2026-08-10T15:05:34.262420Z digest=sha256:c0edabfb3a22a88a635e0f01b3e724b3f88e97f9147311891bf42f15f0cd25cb

Observation 9d9e3366-1529-422e-b58a-27d254a0d7b0 · outbound

This paper cites Bordeaux, 2024, http://pari.math.u-bordeaux.fr/.

Elliptic curves in game theory Bordeaux, 2024, http://pari.math.u-bordeaux.fr/

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.488881Z

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=2026-08-10T15:05:34.266902Z digest=sha256:cc010b3eeb7e6fbd9d5d4ebb9baaa81adc5b6a1074471ff2fa73da44c95bd7df

Observation 2d322027-dbaf-40bd-a133-f731aa65b384 · outbound

This paper cites Portakal, B.

Elliptic curves in game theory Portakal, B

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.474178Z

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=2026-08-10T15:05:34.271370Z digest=sha256:6817b494b4ef3f6e7887a6422fde6f89417457ed927fd53d4e160f942041ba79

Observation a10f0af8-19cb-4e8c-b57c-b1f73325942e · outbound

This paper cites Portakal, D.

Elliptic curves in game theory Portakal, D

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.458676Z

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=2026-08-10T15:05:34.275951Z digest=sha256:6b6b3b1055bebf7a762bae55a0f1f60381f6bbda573f201525a4ac35976317e4

Observation b3c566bd-ebf6-42c8-8a2b-dad700916fb1 · outbound

This paper cites Spohn: Dependency equilibria and the causal structure of decision and game situations, Homo Oeconomicus 20, 195–255, 2003.

Elliptic curves in game theory Spohn: Dependency equilibria and the causal structure of decision and game situations, Homo Oeconomicus 20, 195–255, 2003

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.443315Z

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=2026-08-10T15:05:34.280631Z digest=sha256:327b404f1f1d6e1f3d5b0f4c1352ae455cdef4a82953e1aabf2760241f7e3211

Observation fba7ac24-ef7b-41b3-af07-b11207b74a15 · outbound

This paper cites Spohn: Dependency equilibria, Philosophy of Science 74 , 775–789, 2007.

Elliptic curves in game theory Spohn: Dependency equilibria, Philosophy of Science 74 , 775–789, 2007

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.426105Z

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=2026-08-10T15:05:34.285281Z digest=sha256:ab14d91d921a139a431e7d7cd279b78874f37058011d4dad6868143abe7def1b

Observation d5ef4758-2fd8-4ec8-9382-1e9d1d78e5b0 · outbound

This paper cites Silverman: The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, vol.

Elliptic curves in game theory Silverman: The Arithmetic of Elliptic Curves, Graduate Texts in Mathematics, vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.409340Z

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=2026-08-10T15:05:34.289346Z digest=sha256:05c5f56d6276abe37393a98413dcc4fb0d394c8b4de022b22bbe471896414fe1

Observation 71bd2283-4dda-4edf-984e-cdaf363a2fec · outbound

This paper cites Sturmfels: Algorithms in Invariant Theory, Texts And Monographs In Symbolic Computation, Springer , 2008.

Elliptic curves in game theory Sturmfels: Algorithms in Invariant Theory, Texts And Monographs In Symbolic Computation, Springer , 2008

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.393995Z

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=2026-08-10T15:05:34.293401Z digest=sha256:31817836f6471c43d8498c30cc1582b533ba95e3d39af5cd3f77869c38fc2bf7

Observation 9a1f63f0-fcfd-4bff-84f4-7237c80cb2b7 · outbound

This paper cites Sturmfels: Solving Systems of Polynomial Equations, CBMS Regional Conference Series in Mathematics, vol.

Elliptic curves in game theory Sturmfels: Solving Systems of Polynomial Equations, CBMS Regional Conference Series in Mathematics, vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:05:34.377275Z

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=2026-08-10T15:05:34.297696Z digest=sha256:fa7a944e1179349c754887c7b621bdedaeae1890cc77cd6d85eabbc26d551dc4

Observation da741e93-f56d-4369-9219-ef1f5f85781d · outbound

This paper cites an unresolved cited work.

Elliptic curves in game theory Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:05:34.361645Z

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=2026-08-10T15:05:34.302268Z digest=sha256:d68b7bc1ace55f458896bd6b7285d2cd566a893fb9c4dc229ffa845e080d6453

Pith citing papers

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

The GameTheory package for Macaulay2 cites this paper.

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