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Paper Citation Record · LEDGER

A new lower bound for sphere packing

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2312.10026.

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

pith.paper-citation-record.v1
2312.10026 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:48:17.190198Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T11:56:55.607824Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

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

Linear programming bounds in homogeneous spaces, I: Optimal packing density cites this paper.

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

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:48:17.190198Z digest=sha256:c8f7090176a505cecb475ba6f39968702b6a20a369e9b0e64a28ea75c2534f70

Observation b25fe724-b028-4dbd-831a-dd9ddb93b607 · inbound

Optimal Reconstruction Codes with Given Reads in Multiple Burst-Substitutions Channels cites this paper.

Optimal Reconstruction Codes with Given Reads in Multiple Burst-Substitutions Channels A new lower bound for sphere packing

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T01:03:50.282301Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T01:03:50.282301Z digest=sha256:ddb78d278daaaeeda28a6766568f2a2338d66f8bdd2363c02646a52a4fa5f945

Observation bea807c8-4d27-4239-bf71-1cd1a5e6c66d · inbound

The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings cites this paper.

The entrywise calculus and dimension-free positivity preservers, with an Appendix on sphere packings A new lower bound for sphere packing

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-25T07:15:27.911340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-25T07:12:56.049458Z digest=sha256:f7444db746edec30c5bb1692d5e32e48dfb672f9ad24d57706bf60d4aa2015d2

Observation 4d2748a2-f715-4a3e-a263-d22ed93157b7 · inbound

Rado's covering problem for cubes and balls: a semi-survey cites this paper.

Rado's covering problem for cubes and balls: a semi-survey A new lower bound for sphere packing

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-10T09:23:37.619663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T05:22:44.757060Z digest=sha256:8a7fa46353a73451274f91360e0d18fa519fc1f3877c71dfa255f6ff56f04b8e

Observation 86c58133-4a77-4a10-9502-e0fa46d6662a · inbound

Deterministic Volume Estimation of Truncated Hypercubes cites this paper.

Deterministic Volume Estimation of Truncated Hypercubes A new lower bound for sphere packing

Reference 261

Resolution
verified exact
arxiv_id, observed 2026-05-20T02:17:58.456688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-20T02:14:48.411748Z digest=sha256:4ceb23582f4739a560f5f4f6a5cdd087427726a0d1a4572eed67e3ad54d0006e

Observation 6b6cf440-b777-4582-98da-f8c7f8d9ca30 · inbound

Stochastically evolving ellipsoids with symmetries cites this paper.

Stochastically evolving ellipsoids with symmetries A new lower bound for sphere packing

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-02T11:56:55.609213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-28T02:42:11.719219Z digest=sha256:13f961d8e29621e7855366d2fabb7dda31fc8c97d71ce9129d028d28de3a4aa5

Observation a08ebbda-79c5-4f0b-8c7b-e2fd8b90b486 · inbound

A phase transition for the hard sphere model on the hyperbolic plane cites this paper.

A phase transition for the hard sphere model on the hyperbolic plane A new lower bound for sphere packing

Reference 18

Resolution
unresolved
no resolver link, observed 2026-07-30T13:55:55.348633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T13:55:55.348633Z digest=sha256:0b27b9e727707b9d3b113c8baadd013175d2ce17ed865a6be0e827e976f35d64

Observation bfc1164f-c9ee-43de-849d-405453be8264 · inbound

Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs cites this paper.

Sharp bounds for the fractional chromatic number of high-girth $d$-degenerate graphs A new lower bound for sphere packing

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-01T00:30:26.989506Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:30:26.989506Z digest=sha256:6b2e263b18673fa8536920a5fee3fa1774bee737bb7c96880d0d96c869129fb9