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Paper Citation Record · LEDGER

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.05650.

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

pith.paper-citation-record.v1
1908.05650 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:16:44.911576Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

19 of 19 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dc7c1543-c402-446d-b74a-cb0ec819978a · outbound

This paper cites Böröczky Jr, I.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Böröczky Jr, I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:45.246601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.822806Z digest=sha256:645f5c2355fd0cfcc061575eb61efd6f2ff797da0a8351cc09c5bb3990ee722a

Observation 5cf37907-97fb-4bcc-b864-2749e5efd016 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.231036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.828275Z digest=sha256:ce3ed7d8f698cb817c567b02e67dd252bba02357ef6c8689e2ce792750df6f3f

Observation b4df1b2e-6412-4d63-95c6-9242bcfeafc1 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.216065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.833007Z digest=sha256:6744e2c2e2f636f723e5be90d6abe1c22ef678292ddbc62ecd6bbcdde76c49d1

Observation 24bfece2-e3b0-4899-8ce8-7fc478320799 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.199260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.838118Z digest=sha256:ebefff31e45804f9b3ee9b4168deed4cb6a01233b293b9cc7f270ddec0ced6b5

Observation d6bc5848-57ae-44e8-9333-dd7773478077 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.183978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.842942Z digest=sha256:528eec246e65d67e825a8748ae9d4bf4bb1f3921037ab5de311c8b1e5185d4e7

Observation f4772a6d-4838-4fd2-b221-3a007f3f48fd · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.168382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.847708Z digest=sha256:19d982ce269981d3e783914d39e4ad9b910cbc6475481a1a9f2bbeb8135576d7

Observation c286a465-a584-442e-be01-a072317bdd0d · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.151871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.853064Z digest=sha256:58acede7c8e0d53bd56a948953d7236028ccc8bf39f5555f4f0532220bf5758e

Observation 0674d225-4e54-4e27-a426-55a1047a1001 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.136406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.857534Z digest=sha256:a8d5101e2e69252f351fcc5bcb9b938b52964e0b1a777303d806e0a1ea96439a

Observation 4a82a85f-4511-495b-a500-34f333896c1e · outbound

This paper cites Hadwiger, Über treffanzahlen bei translationsgleichen eikörpern, Archiv der Mathematik, 8 (1957), pp.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Hadwiger, Über treffanzahlen bei translationsgleichen eikörpern, Archiv der Mathematik, 8 (1957), pp

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:45.121794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.862059Z digest=sha256:a7a2c1c35445e3f8270f0b437e608ba66b2fa4ce930fc01913b44c2e31f15598

Observation 8afd0e78-b42d-4c5f-bc3a-a13a6728c830 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.106453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.867042Z digest=sha256:8e4ea9159cbfb9f98848aea6fb4b036fb360e5385095813f29b02028dba6ba11

Observation 56d41d8f-3699-4ddd-beeb-af13a406bbdf · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.091842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.872208Z digest=sha256:8dc95446d6efd0a98ddde2369eabc9b4b103f806df0ee1d7e4cae141403d78c2

Observation 1df2df51-8fac-488c-aac0-913560d77c1a · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.076113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.877132Z digest=sha256:f2c4fb365ba9ea51dd69563d1623458ff5329a05550281ab685983818e28ccac

Observation 3e0fa097-3841-4d74-a6a9-94e1e34c366c · outbound

This paper cites Schürmann, On extremal finite packings, Discrete & Computational Geometry, 28 (2002), pp.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Schürmann, On extremal finite packings, Discrete & Computational Geometry, 28 (2002), pp

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:45.061018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.882389Z digest=sha256:aa6582201f54e0d0a17c7a4d55dab3abb8be909cf2ab073ffa787bdeae605d90

Observation 9dadc4d8-94bd-4e37-b87b-07d4c2bbc94e · outbound

This paper cites On packing spheres into containers (about Kepler's finite sphere packing problem).

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope On packing spheres into containers (about Kepler's finite sphere packing problem)

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:16:44.957577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.887503Z digest=sha256:57560a8004c8232b7247bd0c8d71ca34d07d8edc0e360b6b6dd65ed5e38c926b

Observation 1d7eb90e-3635-497b-94ce-e1d6b9c7085f · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:45.043714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.892467Z digest=sha256:f1bab9af13f44935b50f44bebec5b15642a252f443250cedb5ef7b2374013462

Observation b9ffddc0-2360-4758-9894-f208286bf414 · outbound

This paper cites Talata, On extensive subsets of convex bodies, Periodica Mathematica Hungarica, 38 (1999), pp.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Talata, On extensive subsets of convex bodies, Periodica Mathematica Hungarica, 38 (1999), pp

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:45.025623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.897149Z digest=sha256:27fb6b65d9a2cd263fb7ae9c75830f6d25bba72a46aa43a0735f267c1b2481fe

Observation 3aa57736-161c-45fd-8bf5-4e89ebec8e0e · outbound

This paper cites 281– 293.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope 281– 293

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:45.009016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.901691Z digest=sha256:f9b45fa9fdb4fdbe0d0a0f08716d5238405e6a29e161327db4adee253520ed5b

Observation aed3605e-e662-4717-a82f-7aedd1661ee8 · outbound

This paper cites an unresolved cited work.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:16:44.990109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.906289Z digest=sha256:5e9e1a77cc7929a50e953960eef578193b0198e488ef0cf4eefd7f25e9ede459

Observation 0d55f09d-7a77-4493-8fe8-9b20d10f077c · outbound

This paper cites Zong, Sphere Packings, Springer-Verlag New York, Inc., 1999.

The maximum number of points in the cross-polytope that form a packing set of a scaled cross-polytope Zong, Sphere Packings, Springer-Verlag New York, Inc., 1999

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:16:44.974534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:16:44.911576Z digest=sha256:baf26b510d1a837e075e5e1f3de4d6b72f57f31a2f41b5cd8e7d2d95383c84a9

Pith citing papers

No inbound Pith citation observations are available.