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Paper Citation Record · LEDGER

A new lower bound for sphere packing

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 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 10 of 10 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 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:19:14.010941Z

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 35bb323b-c60e-444e-8a71-2d821c3f7f95 · inbound

Sphere Packing on a Quantum Computer for Chromatography Modeling cites this paper.

Sphere Packing on a Quantum Computer for Chromatography Modeling A new lower bound for sphere packing

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-12T05:19:14.010941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:19:14.010941Z digest=sha256:2b48eafcff120d8d775c9c08e95cbc4928cec3c5e415aba34cd44bdb14eca5c0

Observation bccb9f85-494b-496a-b843-468703b9a2ee · inbound

The hard-core model in graph theory cites this paper.

The hard-core model in graph theory A new lower bound for sphere packing

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T22:07:55.424340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T22:07:55.424340Z digest=sha256:3e8d4e59a3e854a7c43f35f38ea4446e017ec8b64e5a8db49b74ab0c04ae21a5

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=sha256:21787f3490c4a61955e525331f1e7977244c1c05faec56b89cbe3e3106c51709

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=sha256:7f50d18b86741899513d6cc8a1c07d32a5487b10afe5871655ea062560dcad24

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-25T07:12:56.049458Z digest=sha256:3dea891609fd721b5acf944902b30c28995c09e1279acb424a18d80e8ec81d1f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T05:22:44.757060Z digest=sha256:e7feac35e28398428837cb2b05043d6d9f1479b5ffab7db7342183155cd57c6a

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 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-20T02:14:48.411748Z digest=sha256:4b27014454ae440602e8d6a2ef55e147230a51cffe035ba06b0a6a048f1651a7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-28T02:42:11.719219Z digest=sha256:d7eaa25b4ad0491b6d50543b918653bec0cb780f86cef1f17c2c172f98bca85f

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=sha256:0e1dc52f8934a27df4b310b0aa5fb7bb2814d1a549f06a897a592603d458ff3b

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:e1231ebdba1a9e294b809ffdc4f28747d0b0416aa7767dc0ab2f2f05265e4047