Paper Citation Record · LEDGER

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab

As of 20 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2608.12204.

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

pith.paper-citation-record.v1
2608.12204 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:23:13.502242Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

11 of 11 outbound references displayed

verified exact1
verified fuzzy7
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1381d5c4-5a1e-477d-ab91-1ad1f2de26e4 · outbound

This paper cites Closest point search in lattices.IEEE Transactions on Information Theory, 48(8):2201–2214, 2002.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Closest point search in lattices.IEEE Transactions on Information Theory, 48(8):2201–2214, 2002

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.662056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e4098508-85db-47a9-aac8-bb03e331d685 · outbound

This paper cites Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Exact Flatness Constant for One-Point Convex Bodies and the Discrete Isominwidth Problem: The Planar Case

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:23:13.569339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 697f3b6a-79e1-4250-941f-9927a30945ee · outbound

This paper cites On Lov´ asz’ lattice reduction and the nearest lattice point problem.Combina- torica, 6(1):1–13, 1986.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab On Lov´ asz’ lattice reduction and the nearest lattice point problem.Combina- torica, 6(1):1–13, 1986

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.651105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 95319b29-f84e-4677-853f-ea8c775cc737 · outbound

This paper cites Generalised Flatness Constants: A Framework Applied in Dimension $2$.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Generalised Flatness Constants: A Framework Applied in Dimension $2$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T00:23:13.474584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff9e1733-f76c-4c8f-bccb-dc0ddfa718b5 · outbound

This paper cites An arithmetic measure of width for convex bodies.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab An arithmetic measure of width for convex bodies

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T00:23:13.541539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9c135b0c-a88b-4aa7-81f8-1ec69d6a6c61 · outbound

This paper cites Lattice-free polytopes and their diameter.Discrete & Compu- tational Geometry, 13(1):59–75, 1995.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Lattice-free polytopes and their diameter.Discrete & Compu- tational Geometry, 13(1):59–75, 1995

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.639897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 296dba3b-baf2-4f11-a19c-c850acfd77bd · outbound

This paper cites Improved methods for calculating vectors of short length in a lattice, including a complexity analysis.Mathematics of Computation, 44:463–471, 1985.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Improved methods for calculating vectors of short length in a lattice, including a complexity analysis.Mathematics of Computation, 44:463–471, 1985

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.628063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b8877c3f-da23-4532-8b5f-3bb35bffac44 · outbound

This paper cites an unresolved cited work.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T00:23:13.615238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0f66571f-470a-44e4-9587-260aff1b2374 · outbound

This paper cites Covering minima and lattice-point-free convex bodies.Annals of Mathematics, 128(3):577–602, 1988.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Covering minima and lattice-point-free convex bodies.Annals of Mathematics, 128(3):577–602, 1988

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.603543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bc494b79-1fff-421c-ab3e-0222739fd6cb · outbound

This paper cites Lenstra, Jr.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Lenstra, Jr

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.591791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation dff85b8f-31ed-4e91-8881-171e6f0be158 · outbound

This paper cites Lattice basis reduction: Improved practical algo- rithms and solving subset sum problems.Mathematical Programming, 66:181–199, 1994.

A Sharp Four-Layer Theorem for Integer-Occupied Slices of a Planar Disk-Slab Lattice basis reduction: Improved practical algo- rithms and solving subset sum problems.Mathematical Programming, 66:181–199, 1994

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:23:13.581070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

No inbound Pith citation observations are available.