Paper Citation Record · LEDGER

Linear programming bounds in homogeneous spaces, I: Optimal packing density

As of 8 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2505.23572.

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

pith.paper-citation-record.v1
2505.23572 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:48:20.457852Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T12:02:35.694352Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T12:05:33.619855Z

Reference resolution

45 of 45 outbound references displayed

verified exact1
verified fuzzy28
unresolved16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 66db81bf-a1b8-417d-8176-a39c53a8480b · outbound

This paper cites Aarnes,Distributions of positive type and representations of Lie groups, Math.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Aarnes,Distributions of positive type and representations of Lie groups, Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:29.799402Z

Source-reported events for the cited work

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Observation 7c97b46f-5fcd-4a24-b72d-498615182e12 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:29.491043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6db65c47-fc9c-4094-98f8-d0b96bd36db1 · outbound

This paper cites Scuola Norm.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Scuola Norm

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:29.158212Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation de348e8f-7cbf-4b4c-80bb-c4fcca49cbd4 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:28.800258Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f0adf37c-0427-418e-a1e8-4796cb1c8c64 · outbound

This paper cites Barker,The spherical Bochner theorem on semisimple Lie groups, J.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Barker,The spherical Bochner theorem on semisimple Lie groups, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:28.457468Z

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Observation 213bd1f6-30c4-4029-b451-8f0230ad8490 · outbound

This paper cites MR 2940485.

Linear programming bounds in homogeneous spaces, I: Optimal packing density MR 2940485

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:28.282282Z

Source-reported events for the cited work

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Observation 771a5c45-d7e8-4ce2-a7b9-7df42f18bac6 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:28.093447Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 081f0273-95d8-4eb8-b509-d04f7aa153c1 · outbound

This paper cites Hyperuniformity of random measures on Euclidean and hyperbolic spaces.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Hyperuniformity of random measures on Euclidean and hyperbolic spaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:16.155693Z

Source-reported events for the cited work

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Observation 658a2d17-2fce-4fc4-a021-3babf99a0fd7 · outbound

This paper cites Ann.389 (2024), no.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Ann.389 (2024), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:27.798072Z

Source-reported events for the cited work

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Observation c18097e7-cfa1-4799-ab07-f6c6f3d098c1 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:27.479668Z

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Observation 995c7fb5-c2a8-4d85-8681-71f73305a38c · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:27.204890Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 75a4ce2a-d710-451b-bb4b-ae3ac4e697e4 · outbound

This paper cites Z.300 (2022), no.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Z.300 (2022), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:26.827312Z

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Observation 9cbe7ef1-5a32-45be-867d-82d04c071650 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:26.458535Z

Source-reported events for the cited work

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Observation 65074611-9cb5-48a6-b2b7-cbc6a4d87f0b · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:26.166679Z

Source-reported events for the cited work

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Observation 846b80af-3d86-42bf-a412-634244f62927 · outbound

This paper cites Dedicata102 (2003), 213–236.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Dedicata102 (2003), 213–236

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:25.901518Z

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Observation 3a414138-46b3-46d7-b78e-83590f3f372e · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:25.711723Z

Source-reported events for the cited work

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Observation 8923f697-6fd9-4511-92a9-1c38c908ecfa · outbound

This paper cites Dedicata 104 (2004), 37–59.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Dedicata 104 (2004), 37–59

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:25.525687Z

Source-reported events for the cited work

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Observation a69bcf77-eb82-4e5a-a590-9ecf25d65ccc · outbound

This paper cites A new lower bound for sphere packing.

Linear programming bounds in homogeneous spaces, I: Optimal packing density A new lower bound for sphere packing

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T12:48:17.190198Z

Source-reported events for the cited work

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Observation 5816cc0b-a921-42a0-a105-7a05a2d625e9 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:25.371917Z

Source-reported events for the cited work

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Observation 1306b6e3-2fcb-4188-a00f-fa74d8033381 · outbound

This paper cites Miller, Danylo Radchenko, and Maryna Viazovska, The sphere packing problem in dimension 24, Ann.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Miller, Danylo Radchenko, and Maryna Viazovska, The sphere packing problem in dimension 24, Ann

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:25.218282Z

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Observation 977402ca-d7af-4afe-98a6-b46303493039 · outbound

This paper cites J.163 (2014), no.

Linear programming bounds in homogeneous spaces, I: Optimal packing density J.163 (2014), no

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:25.024002Z

Source-reported events for the cited work

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Observation 699efacb-ea34-41da-9619-e829659384a7 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:24.855162Z

Source-reported events for the cited work

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Observation 96836721-e174-4de1-aaf2-004633ad48f6 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:24.684136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3cd1d11e-5fd3-4298-bcdc-3c89339a6877 · outbound

This paper cites Dieudonné,éléments d’analyse.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Dieudonné,éléments d’analyse

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:24.528521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 52704d69-fe4f-48fc-ba00-1c73d9ed7e0c · outbound

This paper cites New lower bound on ball packing density in high-dimensional hyperbolic spaces.

Linear programming bounds in homogeneous spaces, I: Optimal packing density New lower bound on ball packing density in high-dimensional hyperbolic spaces

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:48:20.618178Z

Source-reported events for the cited work

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Observation 97f788f4-d49e-4a1f-bd91-08aa563d061d · outbound

This paper cites 101, Springer-Verlag, Berlin, 1988.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 101, Springer-Verlag, Berlin, 1988

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:24.355732Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9f3b5802-0a4d-44ec-ba06-c20e90293a88 · outbound

This paper cites Selberg, Séminaire Bourbaki, Vol.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Selberg, Séminaire Bourbaki, Vol

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:24.220141Z

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Observation 429758f6-45a5-4405-a3ee-785002ab1dad · outbound

This paper cites 172, Princeton University Press, Princeton, NJ, 2010.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 172, Princeton University Press, Princeton, NJ, 2010

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:24.070321Z

Source-reported events for the cited work

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Observation 8a8de457-b48d-4070-8197-7e314acba919 · outbound

This paper cites 302, Springer, Cham, [2024]©2024.

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:23.939104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2f543731-0843-45e2-940a-30ef35dd20ff · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:23.770870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c6e5430a-753b-43e6-afcf-c85981e05e0c · outbound

This paper cites 83, American Mathematical Society, Providence, RI, 2000, Integral geometry, invariant dif- ferential operators, and spherical functions, Corrected reprint of the 1984 original.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 83, American Mathematical Society, Providence, RI, 2000, Integral geometry, invariant dif- ferential operators, and spherical functions, Corrected reprint of the 1984 original

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:23.611746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 56cf8fee-2e56-4db4-b1d4-1ae2292a7284 · outbound

This paper cites 34, American Mathematical Society, Providence, RI, 2001, Corrected reprint of the 1978 original.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 34, American Mathematical Society, Providence, RI, 2001, Corrected reprint of the 1978 original

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:23.483226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bab79790-bb66-477a-9caa-f930d2a7fe0c · outbound

This paper cites Knapp,Lie groups beyond an introduction, second ed., Progress in Mathematics, vol.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Knapp,Lie groups beyond an introduction, second ed., Progress in Mathematics, vol

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:23.308627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 93c72cc7-3fcd-470e-b1c7-facbafe4436b · outbound

This paper cites Koornwinder,Jacobi functions and analysis on noncompact semisimple Lie groups, Special functions: grouptheoreticalaspectsandapplications, Math.Appl., Reidel, Dordrecht, 1984, pp.1–.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Koornwinder,Jacobi functions and analysis on noncompact semisimple Lie groups, Special functions: grouptheoreticalaspectsandapplications, Math.Appl., Reidel, Dordrecht, 1984, pp.1–

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:23.149653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b719716c-0a02-4399-8a97-e918a4f247ba · outbound

This paper cites 87, Springer-Verlag, London, 2017.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 87, Springer-Verlag, London, 2017

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:22.987370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 20377ee5-ae73-4fc8-bfaa-1be4eee6191b · outbound

This paper cites Scand.109 (2011), no.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Scand.109 (2011), no

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:22.847892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 063215da-307e-445e-be5e-4f45b759b908 · outbound

This paper cites Penney,Spherical distributions on Lie groups andC ∞ vectors, Trans.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Penney,Spherical distributions on Lie groups andC ∞ vectors, Trans

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:22.683052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dabc53de-5c6c-447d-b00d-13f64414198c · outbound

This paper cites 159, Birkhäuser Boston, Inc., Boston, MA, 1998.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 159, Birkhäuser Boston, Inc., Boston, MA, 1998

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:22.531184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4dbab73a-ea5c-4340-beba-10f809159cb0 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:22.354197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 24d6a48a-f62f-4850-beac-3363be0a4069 · outbound

This paper cites 36, Walter de Gruyter & Co., Berlin, 2009.

Linear programming bounds in homogeneous spaces, I: Optimal packing density 36, Walter de Gruyter & Co., Berlin, 2009

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:22.213805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cd17fe86-2b23-4c26-bd8e-55d0cee2de00 · outbound

This paper cites Viazovska,The sphere packing problem in dimension 8, Ann.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Viazovska,The sphere packing problem in dimension 8, Ann

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:21.954599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f1506196-b28a-4bfb-8403-959c590b1f16 · outbound

This paper cites an unresolved cited work.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:48:21.659425Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bb2f3d99-33c6-4859-8671-9d076873fdcb · outbound

This paper cites I, Die Grundlehren der mathema- tischen Wissenschaften, vol.

Linear programming bounds in homogeneous spaces, I: Optimal packing density I, Die Grundlehren der mathema- tischen Wissenschaften, vol

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:21.355499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 26414a14-29ad-434b-ab19-76a3d7bdf571 · outbound

This paper cites Wolf, Harmonic analysis on commutative spaces, Mathematical Surveys and Mono- graphs, vol.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Wolf, Harmonic analysis on commutative spaces, Mathematical Surveys and Mono- graphs, vol

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:21.028582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 99140eff-06e0-429d-9f4a-d35ab6102de0 · outbound

This paper cites Zimmer,Ergodic theory and semisimple groups, Monographs in Mathematics, vol.

Linear programming bounds in homogeneous spaces, I: Optimal packing density Zimmer,Ergodic theory and semisimple groups, Monographs in Mathematics, vol

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:48:20.781610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 6847898a-6276-4b6f-8ead-5c383139aa37 · inbound

Duality for Delsarte's extremal problem on compact Gelfand pairs cites this paper.

Duality for Delsarte's extremal problem on compact Gelfand pairs Linear programming bounds in homogeneous spaces, I: Optimal packing density

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-15T12:05:33.622578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.