Paper Citation Record · LEDGER

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory

As of 22 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 0 inbound Pith citation observations for arXiv:2501.04412.

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

pith.paper-citation-record.v1
2501.04412 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:38:50.577170Z

measured 49 of 49 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

49 of 49 outbound references displayed

verified exact19
verified fuzzy13
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 81e07c0a-8a2a-4c14-85e8-35bfcf336c39 · outbound

This paper cites Foundations of Analysis over Surreal Number Fields.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Foundations of Analysis over Surreal Number Fields

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.729046Z

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.

Observation 7015132d-c900-4275-a8de-f6f6d55bc3b8 · outbound

This paper cites Intermediate arithmetic operations on ordinal numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Intermediate arithmetic operations on ordinal numbers

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T21:38:50.281600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d220761-abb0-4667-827a-e9699678beae · outbound

This paper cites https://azinelibrary.org/other/Badiou_-_Number_and_Numbers.pdf.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory https://azinelibrary.org/other/Badiou_-_Number_and_Numbers.pdf

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.712808Z

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.

Observation 63cf21f2-9b9f-4823-98e8-e53171502d4f · outbound

This paper cites Surreal substructures.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Surreal substructures

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.195212Z

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.

Observation 5b18c977-8b47-4d1a-9108-cbc63e545cb3 · outbound

This paper cites The hyperserial field of surreal numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory The hyperserial field of surreal numbers

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.171065Z

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.

Observation 8b7a8966-a4d7-495d-a9a7-1b1ca39401ac · outbound

This paper cites Guy, Winning Ways , 2nd edition, Wellesley, Massachusetts: A.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Guy, Winning Ways , 2nd edition, Wellesley, Massachusetts: A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.696885Z

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.

Observation 495d66cb-b696-419a-b14d-5489b92311c2 · outbound

This paper cites Exponential fields and Conway's omega-map.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Exponential fields and Conway's omega-map

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.146847Z

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.

Observation 02a5415f-5496-4a09-b8f9-7f200c3fef69 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.681170Z

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.

Observation f1f07b70-6e34-4d70-8117-b4e4d5045e97 · outbound

This paper cites Surreal numbers, derivations and transseries.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Surreal numbers, derivations and transseries

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.122212Z

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.

Observation 2d7861db-b9b8-4bfe-90b0-ae112e6c2c13 · outbound

This paper cites Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.096936Z

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.

Observation 3af673af-0640-42c7-8cbc-f98f6a7acc35 · outbound

This paper cites Graded sets, graded groups, and Clifford algebras.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Graded sets, graded groups, and Clifford algebras

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.072016Z

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.

Observation 1b447c8e-86ca-4d54-9f6c-c58d2c2dfcf8 · outbound

This paper cites On group and loop spheres.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory On group and loop spheres

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.047794Z

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.

Observation d9b87d35-60d3-4254-887c-8422770bbd6c · outbound

This paper cites Arithmetic of ordinals with applications to the theory of ordered Abelian groups.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Arithmetic of ordinals with applications to the theory of ordered Abelian groups

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.665803Z

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.

Observation 8469865c-674d-4d6a-9fc0-4872bc8ca350 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.647970Z

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.

Observation 0ede1f48-27e6-4ebc-916b-8a642510cb71 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.626541Z

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.

Observation b05d363a-047f-47dc-aaa5-3d2f9f48af7c · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.606647Z

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.

Observation 357ee0e5-6b4d-407d-a8a9-97090d706179 · outbound

This paper cites Integration on the Surreals.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Integration on the Surreals

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:51.023482Z

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.

Observation 60fa850f-26e5-4cec-a3cc-6d90581e8b24 · outbound

This paper cites See Numbers , Chapter 2, for more historical comments and references.).

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory See Numbers , Chapter 2, for more historical comments and references.)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.590760Z

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.

Observation 26caf44d-f31e-4e3e-912e-0c17f90d3cb1 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.576055Z

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.

Observation 3981d9f3-4ccb-4ca1-8bc0-c821df6703e9 · outbound

This paper cites An extended arithmetic of ordinal numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory An extended arithmetic of ordinal numbers

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.560696Z

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.

Observation de8ccc54-34b4-4d69-b8b0-afbcbc5436fe · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.543437Z

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.

Observation b3cf9f41-580b-45bb-bd82-eb6543641365 · outbound

This paper cites Conway names, the simplicity hierarchy and the surreal number tree.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Conway names, the simplicity hierarchy and the surreal number tree

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.524624Z

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.

Observation 49f78fd7-e653-436a-aa79-16c92e7357e6 · outbound

This paper cites The absolute arithmetic continuum and the unification of all numbers great and small.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory The absolute arithmetic continuum and the unification of all numbers great and small

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.503642Z

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.

Observation fe82b940-fae6-4397-b39e-6f4567f6497e · outbound

This paper cites Contemporary Infinitesimalist Theories of Continua and their late 19th- and early 20th-century forerunners.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Contemporary Infinitesimalist Theories of Continua and their late 19th- and early 20th-century forerunners

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.993527Z

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.

Observation aa379fa8-33f2-4efc-98fe-958fbaf17c9a · outbound

This paper cites Recursive definitions on surreal numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Recursive definitions on surreal numbers

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.966540Z

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.

Observation e7a63d07-9ced-4ed4-96f2-6baf95a65616 · outbound

This paper cites LNS 11 , Cambridge University Press, Cambridge 1986.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory LNS 11 , Cambridge University Press, Cambridge 1986

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.485693Z

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.

Observation fb650969-9a28-484a-ade9-0e58a9ba4501 · outbound

This paper cites Number Theory for the Ordinals With a New Definition for Multiplication.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Number Theory for the Ordinals With a New Definition for Multiplication

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T21:38:50.444731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04fbda8f-e0d8-4898-af78-0db54d6a7de8 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.467374Z

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.

Observation 9465b36e-3fd1-4bd3-a698-26e8204d5033 · outbound

This paper cites Numbers and Games.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Numbers and Games

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.451686Z

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.

Observation 6ddcf813-3712-444e-aef9-16a98480037b · outbound

This paper cites Towards computable analysis on the generalised real line.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Towards computable analysis on the generalised real line

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.856576Z

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.

Observation 7e24d29f-67a6-48e7-acc4-8bc14eb02fa9 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.434901Z

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.

Observation 7ad42c94-48ca-40d3-8ca7-072e6b175211 · outbound

This paper cites The exponential-logarithmic equivalence classes of surreal numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory The exponential-logarithmic equivalence classes of surreal numbers

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.830701Z

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.

Observation ffb35110-4c8b-4bcd-ab3d-1b90922d99a4 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.417144Z

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.

Observation ce9e859f-60a9-48f9-a940-9e96fb7a44f0 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.400412Z

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.

Observation 745ef91b-b98b-4d8f-9181-6ec30401f7ff · outbound

This paper cites Rethinking set theory.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Rethinking set theory

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.805466Z

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.

Observation 1c479bdf-3f63-4960-b620-9f8b6ccf578d · outbound

This paper cites Nim Multiplication.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Nim Multiplication

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.385069Z

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.

Observation f67e0568-3f7b-4cf7-a64d-947bc6731066 · outbound

This paper cites Counting Sets with Surnatural Numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Counting Sets with Surnatural Numbers

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.778052Z

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.

Observation cc385ea8-6eaa-4c51-a8a3-a640c3840df8 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.368928Z

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.

Observation ee0e9a76-6604-46d8-9235-f11121e3e6f0 · outbound

This paper cites An algebraic (set) theory of surreal numbers, I.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory An algebraic (set) theory of surreal numbers, I

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.748931Z

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.

Observation 09576c67-0df6-4244-887e-64f1060c2ce6 · outbound

This paper cites The Ordinals as a Consummate Abstraction of Number Systems.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory The Ordinals as a Consummate Abstraction of Number Systems

Reference 40

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.723757Z

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.

Observation 8526bf81-b096-4834-8fb2-655f671aeb74 · outbound

This paper cites Analysis on Surreal Numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Analysis on Surreal Numbers

Reference 41

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.695077Z

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.

Observation d48270a3-4317-40bb-841b-4d6cbd98e40d · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.347319Z

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.

Observation 8f78a699-68c6-482f-8383-862ce8a6acd2 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.325670Z

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.

Observation b9b1849d-1d6b-46ed-84b2-ddb4802aba12 · outbound

This paper cites An Introduction to Conway's Games and Numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory An Introduction to Conway's Games and Numbers

Reference 44

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.664627Z

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.

Observation bb009e08-47a6-4a91-8378-a9e50c2a30c1 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.306888Z

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.

Observation 9372aa11-e1c2-4876-be7c-06ccb72b0efe · outbound

This paper cites Meet the Surreal Numbers.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Meet the Surreal Numbers

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.289616Z

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.

Observation 92c9d2f4-2dd8-4b69-9140-093f1f66c334 · outbound

This paper cites The real numbers -- A survey of constructions.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory The real numbers -- A survey of constructions

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:38:51.269443Z

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.

Observation b3e3405a-9f2f-4073-849f-1863a1fb491d · outbound

This paper cites The Mathematical Universe.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory The Mathematical Universe

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:38:50.633820Z

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.

Observation 6be6130c-14d1-4466-a2f4-d113393d93a7 · outbound

This paper cites an unresolved cited work.

On Conway's Numbers and Games, the Von Neumann Universe, and Pure Set Theory Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:38:51.238822Z

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.

Pith citing papers

No inbound Pith citation observations are available.