Paper Citation Record · LEDGER

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications

As of 12 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2502.09820.

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

pith.paper-citation-record.v1
2502.09820 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:26:29.919572Z

measured 12 of 12 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 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 exact4
verified fuzzy3
unresolved3
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba36af34-c2f1-4ba0-9a39-a36a8f24660e · outbound

This paper cites A Novel Approximation Algorithm for the Shortest Vector Prob- lem,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications A Novel Approximation Algorithm for the Shortest Vector Prob- lem,

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T20:26:29.863181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c04a1a9f-c3c1-47ba-a3ac-e5ea24c2f23f · outbound

This paper cites Sphere packing bounds via spherical codes.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Sphere packing bounds via spherical codes

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:26:30.465283Z

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.

Observation bf675563-e33c-4f20-9ba1-142e6c43556c · outbound

This paper cites Improved Classical and Quantum Algorithms for the Shortest Vector Problem via Bounded Distance Decoding.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Improved Classical and Quantum Algorithms for the Shortest Vector Problem via Bounded Distance Decoding

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T20:26:29.873675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9908b99-83b8-4db2-a697-ccf4e7186dd7 · outbound

This paper cites The Leech Lattice,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications The Leech Lattice,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:26:30.524772Z

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.

Observation e62be049-816e-4df6-b427-bf31b1e9d843 · outbound

This paper cites The Automorphism Group of the 26-Dimensional Even Unimodular Lorentzian Lattice,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications The Automorphism Group of the 26-Dimensional Even Unimodular Lorentzian Lattice,

Reference 5

Resolution: verified exact; doi, observed 2026-08-07T20:26:29.975303Z

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.

Observation 4d224711-0840-499f-9cf5-ce891fefad39 · outbound

This paper cites An Octonionic Leech Lattice,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications An Octonionic Leech Lattice,

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:26:30.510192Z

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.

Observation e4eff2e5-de53-426c-b468-f51115935f41 · outbound

This paper cites Twenty-Three Constructions for the Leech Lattice,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Twenty-Three Constructions for the Leech Lattice,

Reference 7

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-07T20:26:30.251052Z

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.

Observation 7901e41f-99d7-4028-aabf-f6a7932e5daa · outbound

This paper cites Recursive Lattice Reduction,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Recursive Lattice Reduction,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:26:30.494737Z

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.

Observation 7f85876d-c30d-44cd-b3eb-68efd42d8ec5 · outbound

This paper cites Sieve Algorithms for the Shortest Vector Problem,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Sieve Algorithms for the Shortest Vector Problem,

Reference 9

Resolution: malformed identifier; doi_truncated, observed 2026-08-07T20:26:29.958412Z

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.

Observation 5c442ea2-9a06-403e-964f-1ea069751c05 · outbound

This paper cites Solving the Shortest Vector Problem in $2^n$ Time via Discrete Gaussian Sampling.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Solving the Shortest Vector Problem in $2^n$ Time via Discrete Gaussian Sampling

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T20:26:29.913987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dad321fe-523e-4916-b98d-153a40a270eb · outbound

This paper cites Gravitational Pair Production and Black Hole Evaporation,.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Gravitational Pair Production and Black Hole Evaporation,

Reference 11

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T20:26:30.479986Z

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.

Observation bed379f8-27a2-4308-8fc7-a655fbe20197 · outbound

This paper cites an unresolved cited work.

A Unified Framework for High-Dimensional Pure Root Lattices, Sphere Packing, and Cosmological Implications Unresolved cited work

Reference 1985

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-07T20:26:30.426991Z

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.

Pith citing papers

No inbound Pith citation observations are available.