Pith. sign in

Paper Citation Record · LEDGER

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2411.16038.

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

pith.paper-citation-record.v1
2411.16038 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:43:13.998101Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

30 of 30 outbound references displayed

  • verified exact0
  • verified fuzzy16
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c51cec47-5d09-4889-b4f0-1267530938ce · outbound

This paper cites Ambrus, I.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Ambrus, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.770045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.812858Z digest=sha256:6d121d1cdd1ec1c4b9f12203dec94fa485a28a373ea5b822c9da5a03f4dde0b9

Observation 240e1d7f-86ab-4ae0-a666-9840e119d7d5 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.751873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.822356Z digest=sha256:a53edfd165be61d27cdb80c5fc4b3b2b7ba6901bb7951ca64d7f09bb3c1a8204

Observation b59bfce6-2524-417b-a54d-f60d982180a5 · outbound

This paper cites Böröczky, The problem of Tammes for n = 11, Studia Sci.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Böröczky, The problem of Tammes for n = 11, Studia Sci

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.726799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.827587Z digest=sha256:d701df768be9b16037d92ae49fa7af2720c8f7a2069283caf546de11aaa3aa67

Observation aff2ec02-0f7a-40e1-ad40-7338636293cf · outbound

This paper cites Boyvalenkov, S.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Boyvalenkov, S

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.699504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.834244Z digest=sha256:985901a14d6fe2eb6945e8f2b70b290abf8e4a5cde24ab4a36c14f388c6c8347

Observation c2e97eb6-79c4-419e-b8be-796bedb74abe · outbound

This paper cites Boyvalenkov and D.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Boyvalenkov and D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.678204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.840591Z digest=sha256:8fd5813ca7273c2cfeba25ff57330de6b8109c70ef2fa6eedf316a7ac3c7f471

Observation 69012a02-47ec-4988-8741-244c8984068f · outbound

This paper cites Brass, W.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Brass, W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.658967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.850078Z digest=sha256:c18fecbbd076d0a2f3889c8559612830ce29b1da278f29d3e39da76cb6a1028d

Observation 7e574b0d-2890-4604-b664-441094215af9 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.638912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.857223Z digest=sha256:b6c2de49c9c73308adb2ed93b845db8b916a62d7607a69d513086713749d7e40

Observation af69fb0a-6b1b-4753-a470-a6e80ddf7889 · outbound

This paper cites Cohn, Table of spherical codes, https://dspace.mit.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Cohn, Table of spherical codes, https://dspace.mit

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.620634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.862418Z digest=sha256:c0d91089fed94987e10a6626baeafb1c52150ef6202a09edae2d2ed6542941ed

Observation c282bbc4-fe15-4470-b483-417850df0fe4 · outbound

This paper cites Danzer, Finite point sets on S2 with minimum distance as large as possible, Discrete Math.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Danzer, Finite point sets on S2 with minimum distance as large as possible, Discrete Math

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.601457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.869693Z digest=sha256:3f1cf4ef8d80ca7871c43fbc6715ff3b4ba10aca8948e6389224b65446837e6f

Observation 9457bb93-cc99-40da-9ff2-89858db02df6 · outbound

This paper cites Delsarte, J.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Delsarte, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.573034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.876911Z digest=sha256:498270f5578d2d872f1a4e8bd70ea3d26b620e536c1d93e1c8986dff304860da

Observation 3e2c15ae-a19e-46b0-85e4-adec68c6906b · outbound

This paper cites Delsarte, Bounds for unrestricted codes by linear pr ogramming, Philips Res.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Delsarte, Bounds for unrestricted codes by linear pr ogramming, Philips Res

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.546511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.884002Z digest=sha256:554e85d04f4fd99338fc03b8bdddf0f9de2c9271d85f71a7026de6d617fbd8d4

Observation 091faad9-f95c-4fc5-8509-8b654c227d14 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.513453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.889524Z digest=sha256:9e3e2a7b3fa2c1853ece52dc4c61cff625f027f5b19531353d38864eb6a35026

Observation 10389b7e-1782-4ad5-b742-8c48cb698f53 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.485688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.894755Z digest=sha256:263553135b02e33f6054398c83edac38fdd8261fec1835102539ae0a983241af

Observation a83de8a7-1252-4400-b05c-70824ca8220f · outbound

This paper cites Mackay, J.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Mackay, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.466220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.899958Z digest=sha256:6f4c0b1ea3528e3b80d03abde3a3ab107f560e32dcad77a7465ca5d467248226

Observation afce7578-6ea9-4d99-b3fe-cf507e0869ff · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.444308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.905882Z digest=sha256:657f237e621fa2fae86e600bc3dec8d5a777656fc9b7a75a218cee61616ede37

Observation 5c15038d-9195-4b0e-8d0a-23e44d335a23 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.423215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.911873Z digest=sha256:6194524e80ed2f7eae3e19de339d3c2e27a94bbe821f66b681b500adced25b25

Observation 4e6c8676-a15b-4e93-be22-08e94355e295 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.395223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.918867Z digest=sha256:7943ce7faf1ff314c7939981884ced84e1d60db7c664799d00205e7065b3a18c

Observation 469c249a-9b68-49f6-82b4-05e4fd8cda03 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.374219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.924770Z digest=sha256:98329277b756115bb7b1371f4d855d208986e8d20bb38ab9d6d759ff9dd9c4d4

Observation 1ee4a6b3-f846-43e8-a480-8956e7566cc9 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.351602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.930320Z digest=sha256:33eaac83ed4f5b44e425466ba3ef94c4fc77a5fd757f0e9c8d378dd54fc19b6a

Observation ea746cd4-4e77-4690-8488-3b2ee27a787a · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.322843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.939839Z digest=sha256:0709e09b983f9fffc24779316b0a4559f9f3222d2356a0a7d37f7888cbb04166

Observation e9d262de-797b-46a0-86d4-82c0d8ed53f4 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.292402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.946162Z digest=sha256:7a59d4872aa852bd4c6ed7c242dc10423e48047212b349a9861cc89235e3f3ad

Observation 99364888-2985-40aa-983e-9a6210210f65 · outbound

This paper cites Pfender, Improved Delsarte bounds for spherical cod es in small dimensions, J.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Pfender, Improved Delsarte bounds for spherical cod es in small dimensions, J

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.270075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.951782Z digest=sha256:d2bee2f1a7c770799ef8d3a98716e7414888519437d493388c1225d800beafc5

Observation 8ad47469-564f-46bf-8f5b-d94062e6aad7 · outbound

This paper cites Pfender and G.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Pfender and G

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.249322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.957944Z digest=sha256:08c32821a67fac9b66c31dc24a3e9d3a209e599326dc93bb8175f7e01aa741f2

Observation edbbb6bb-a748-4149-b50c-2f5ff807faa7 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.228814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.963586Z digest=sha256:feed32fadb4e1e131a6dc0b605cdf003c8c8e3b1b75ba50603bfce12bb8f7f68

Observation 07888cf6-5dba-412f-aa93-b93257dc5066 · outbound

This paper cites Schütte and B.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Schütte and B

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.197221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.968797Z digest=sha256:d9a83a830d7902cea7a43d50e3e7c969e91543716fd30c2e75c6d1862c78e78b

Observation 9b4b16f7-c4b5-4454-9033-323043190681 · outbound

This paper cites an unresolved cited work.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:43:14.173842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.973887Z digest=sha256:234847379a2c2e25be87faccb2cedea153d454d629baf2d04bae98ea1f774c92

Observation 322dd168-a5d9-4250-94e9-5ce14de2eb6e · outbound

This paper cites Hárs, The Tammes problem for n = 10, Studia Sci.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Hárs, The Tammes problem for n = 10, Studia Sci

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.146148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.979487Z digest=sha256:b0557d8de48e449e76b19afc379abb4f634fcdc22a59d3ad2f6ebf93bf75d228

Observation 37906af6-9c66-4941-8a68-72ff8789873e · outbound

This paper cites The Mathematical Foundation of Post-Quantum Cryptography.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method The Mathematical Foundation of Post-Quantum Cryptography

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-12T13:43:13.984904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:43:13.984904Z digest=sha256:dd0ba0780b3990befd9ac4c8a980e8647c984f5835f11a75a5c03f46d15dd21c

Observation 98d78db7-2c86-4db3-bacc-86a932375fde · outbound

This paper cites Zong, Sphere packings, Springer-Verlag, New York, ( 1999).

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Zong, Sphere packings, Springer-Verlag, New York, ( 1999)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.113310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.991783Z digest=sha256:86d8ac9a2da728dedf88c1555342383cfcba1f83450fc016e4d22d6bb12d9c04

Observation c78b050a-523d-4298-9264-3037b8710144 · outbound

This paper cites Zong, The kissing numbers of convex bodies-a brief su rvey, Bull.

The Tammes Problem in $\mathbb{R}^{n}$ and Linear Programming Method Zong, The kissing numbers of convex bodies-a brief su rvey, Bull

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:43:14.086329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:43:13.998101Z digest=sha256:1dc698932f86656fb55627581949c150d0dc8a8b81f2f024938145a2b8ae9fea

Pith citing papers

No inbound Pith citation observations are available.