Paper Citation Record · LEDGER

Finding Kissing Numbers with Game-theoretic Reinforcement Learning

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2511.13391.

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

pith.paper-citation-record.v1
2511.13391 v4

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:54:02.957446Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f9095472-c346-4438-9395-0c5e40535cd3 · outbound

This paper cites OUP Oxford, 2000.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning OUP Oxford, 2000

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.151915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eaf52a66-3284-4573-9f22-8e8ebd0f07b9 · outbound

This paper cites Improved kissing numbers in seventeen through twenty-one dimen- sions.arXiv preprint arXiv:2411.04916, 2024.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Improved kissing numbers in seventeen through twenty-one dimen- sions.arXiv preprint arXiv:2411.04916, 2024

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.237480Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ced5777a-b6c0-4775-a2ce-6cad47a46819 · outbound

This paper cites A survey on the kissing numbers.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning A survey on the kissing numbers

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.305827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa52d3db-4bb7-4611-9299-4398bd782e77 · outbound

This paper cites Mathematical programming bounds for kissing numbers.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Mathematical programming bounds for kissing numbers

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.345522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 732a7c0e-dfc9-47fc-8959-33d65aec075d · outbound

This paper cites Kissing number of codes: A survey.Coding Theory and applications (tentative title), 2023.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Kissing number of codes: A survey.Coding Theory and applications (tentative title), 2023

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.413991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b76f51a8-86b0-40c9-93fb-4f3921a31627 · outbound

This paper cites Table of kissing number bounds.., 2024.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Table of kissing number bounds.., 2024

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.475414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e72f634d-fc14-45cd-83f8-96ad6fdc4bfe · outbound

This paper cites Das problem der dreizehn kugeln.Math- ematische Annalen, 125(1):325–334, 1952.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Das problem der dreizehn kugeln.Math- ematische Annalen, 125(1):325–334, 1952

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.585258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb931f6f-9ad7-4022-9ec5-95890e7be56f · outbound

This paper cites The kissing number in four dimensions.Annals of Mathematics, pages 1–32, 2008.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning The kissing number in four dimensions.Annals of Mathematics, pages 1–32, 2008

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.634546Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abc9e3d2-75a2-4210-8b5f-0eb57d67e2a7 · outbound

This paper cites Sur les formes quadratiques.Mathematische Annalen, 6(3):366–389, 1873.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Sur les formes quadratiques.Mathematische Annalen, 6(3):366–389, 1873

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.710207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f8a5147-bf3a-4360-bf12-b21fa5223f1b · outbound

This paper cites Notes on sphere packings.Canadian Journal of Mathematics, 19:251–267, 1967.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Notes on sphere packings.Canadian Journal of Mathematics, 19:251–267, 1967

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.775295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 501eca67-adfb-4633-b639-50dd643a30e9 · outbound

This paper cites Some sphere packings in higher space.Canadian Journal of Mathematics, 16:657–682, 1964.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Some sphere packings in higher space.Canadian Journal of Mathematics, 16:657–682, 1964

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.870982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4aa66775-256b-4b52-bbdc-f03a08c30c69 · outbound

This paper cites The sphere packing problem in dimension 8.Annals of mathematics, pages 991–1015, 2017.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning The sphere packing problem in dimension 8.Annals of mathematics, pages 991–1015, 2017

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:01.974758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8387d234-db6c-4223-a6e8-7179b32733d1 · outbound

This paper cites The sphere packing problem in dimension 24.Annals of mathematics, 185(3):1017–1033, 2017.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning The sphere packing problem in dimension 24.Annals of mathematics, 185(3):1017–1033, 2017

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.071021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b089ee7-265f-45e7-8283-2ea140a53062 · outbound

This paper cites Springer Science & Business Media, 2013.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Springer Science & Business Media, 2013

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.146365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8513c35-e927-463a-8b53-0416a5f9264e · outbound

This paper cites Sphere packings and error-correcting codes.Canadian Journal of Mathematics, 23(4):718–745, 1971.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Sphere packings and error-correcting codes.Canadian Journal of Mathematics, 23(4):718–745, 1971

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.254015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6921cd0-6d0e-4d7a-b8d5-b9b61cf75846 · outbound

This paper cites Highly symmetric lines.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Highly symmetric lines

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.353937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b680cf5-2bd8-4c74-9ddf-4524c09d8cc8 · outbound

This paper cites New lower bounds for contact numbers in small dimensions.Problemy Peredachi Informatsii, 35(4):3–11, 1999.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning New lower bounds for contact numbers in small dimensions.Problemy Peredachi Informatsii, 35(4):3–11, 1999

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.426617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2082a930-52bb-455d-8d50-ddd11748e532 · outbound

This paper cites Improved lower bounds for kissing numbers in dimensions 25 through 31.SIAM Journal on Discrete Mathematics, 31(3):1895–1908, 2017.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Improved lower bounds for kissing numbers in dimensions 25 through 31.SIAM Journal on Discrete Mathematics, 31(3):1895–1908, 2017

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.538734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92f122e0-3bd3-40cc-8c7f-ecdc66601636 · outbound

This paper cites Rigidity of spherical codes.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Rigidity of spherical codes

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.633337Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ea3fe79-995b-4029-a9aa-95af692b2d9a · outbound

This paper cites AlphaEvolve: A coding agent for scientific and algorithmic discovery.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning AlphaEvolve: A coding agent for scientific and algorithmic discovery

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.722889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 666b2457-e95a-46ca-8125-b4617c565719 · outbound

This paper cites Spherical codes with prescribed signed permu- tation automorphisms inside shells of low-dimensional integer lattices.IEEE Transactions on Information Theory, 70(12):8669–8674, 2024.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Spherical codes with prescribed signed permu- tation automorphisms inside shells of low-dimensional integer lattices.IEEE Transactions on Information Theory, 70(12):8669–8674, 2024

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.801809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9fe3704-168b-4101-abb1-86316561e5e9 · outbound

This paper cites Elsevier, 2001.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning Elsevier, 2001

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.879587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ec2a71a-4429-4b94-ae50-5df0ec0a1ad7 · outbound

This paper cites A note on five dimensional kissing arrangements.

Finding Kissing Numbers with Game-theoretic Reinforcement Learning A note on five dimensional kissing arrangements

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T21:54:02.957446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.