Pith. sign in

Paper Citation Record · LEDGER

On two counterexamples in the geometry of numbers

As of 11 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.11695.

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

pith.paper-citation-record.v1
2607.11695 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T03:49:13.014714Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b2de4be-9ad1-406a-80ea-e50146310141 · outbound

This paper cites an unresolved cited work.

On two counterexamples in the geometry of numbers Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:36e874b01df66b9d153defd36a13240e4231c4202b328371a6a75bf612cc281d

Observation 623f0a20-f448-4fb5-a3fe-f4c10c8a20c5 · outbound

This paper cites Zong, On the packing densities and the covering densities of the Cartesian products of convex bodies, Monatsh.

On two counterexamples in the geometry of numbers Zong, On the packing densities and the covering densities of the Cartesian products of convex bodies, Monatsh

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:711b88816f8d7f78ed48f5c727599fc194899b78dd0a25d246b1eb03595c3b61

Observation e58e11dd-bd5d-4411-a313-4f4103caaeed · outbound

This paper cites Korkine and G.

On two counterexamples in the geometry of numbers Korkine and G

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:def0b675c4d6ad8607aec49cbc196fed1951d329ea52ce98d3cb8e227b6d3e60

Observation 6da201ce-7e5d-4933-adcb-a9993400dd5d · outbound

This paper cites an unresolved cited work.

On two counterexamples in the geometry of numbers Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:8b0182d65cb4ebdcd3747244932f8f1028d9e93a7e878f9151e7dc21c504f065

Observation bab8c159-a57d-4696-af04-702d81bf342e · outbound

This paper cites Cohn, Sphere packing data table [online], accessed July 10, 2026.

On two counterexamples in the geometry of numbers Cohn, Sphere packing data table [online], accessed July 10, 2026

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:c0d8386483e9c97c967e1669ea647517e75bc21d119c9a991fce89a42d84d343

Observation 72c0f94b-c2b4-48fb-bf8f-dde3dc3e18c0 · outbound

This paper cites Three-point bounds for sphere packing.

On two counterexamples in the geometry of numbers Three-point bounds for sphere packing

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:303ab162565b6e5f021bac6918767f3ae2f9dcf5eabc04c3816db42d9fe5c213

Observation c912920d-8987-404f-b6e3-d7ceb45ce7ef · outbound

This paper cites Three-point bounds for sphere packing.

On two counterexamples in the geometry of numbers Three-point bounds for sphere packing

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:d4b02055fb52a47da3caef27b3dbeac1f4f8aafaafcd6290a7db0f4107913410

Observation d8a22cef-7b93-4943-9514-2d2fd8b0cb6d · outbound

This paper cites an unresolved cited work.

On two counterexamples in the geometry of numbers Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:18a2fe832b48454bc2434c85b7bd3ca03ca71eb63954ed6a5a643e089b535bad

Observation 9968be5b-e296-4cbf-8459-b6c2af1a5017 · outbound

This paper cites Chiu, Height of flat tori,Proc.

On two counterexamples in the geometry of numbers Chiu, Height of flat tori,Proc

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:083247fbef042a5303fa50c85c1ca2a1e83d9c2732170ae796b6878917c985c2

Observation 0a0e11a0-a81f-4bdd-836c-5ac4b68652db · outbound

This paper cites Dutour Sikiri´ c and W.

On two counterexamples in the geometry of numbers Dutour Sikiri´ c and W

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:2d96c9aa36f999a1b5136ee3375102a72ccef3fffb163e5579907ab0dea47a7e

Observation 76e3c3eb-899e-4053-b26d-09ef001d5229 · outbound

This paper cites Osgood, R.

On two counterexamples in the geometry of numbers Osgood, R

Reference 11

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:41d9fda35ebb8b095f924653ef4650ac76a41c0a87631fc9d9942fb29665dd9c

Observation cfa1dc64-b600-408e-bffd-cccdb33316b8 · outbound

This paper cites Sarnak and A.

On two counterexamples in the geometry of numbers Sarnak and A

Reference 12

Resolution
unresolved
no resolver link, observed 2026-07-14T03:49:13.014714Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T03:49:13.014714Z digest=sha256:e0ceb43f9c4ec0846322dd01396a1232575d9b671e06b988602026a51b2ed729

Pith citing papers

No inbound Pith citation observations are available.