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Paper Citation Record · LEDGER

Covering convex bodies and the Closest Vector Problem

As of 21 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:1908.08384.

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

pith.paper-citation-record.v1
1908.08384 v3

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:02:42.435990Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy17
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7c4ed907-4bac-48f6-8594-886ecfa3dc56 · outbound

This paper cites Sivakumar.

Covering convex bodies and the Closest Vector Problem Sivakumar

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.812273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.330225Z digest=sha256:b26c573c0678d3a3d48d3d0dce0924a2ebd1480e62c7a94be92c92b62cdfa84d

Observation afefd5e3-d89b-491b-accb-ff0275e1da4a · outbound

This paper cites Sivakumar.

Covering convex bodies and the Closest Vector Problem Sivakumar

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.794146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.335546Z digest=sha256:e351ddfc1905d09d88c77cecc4556d16177d5f1539ed7fb77f2c1c317e02c33d

Observation 47893f20-2b5f-40d8-80d0-76309d503bcb · outbound

This paper cites Probabilistic Checking of Proofs and Hardness of Approximation Problems.

Covering convex bodies and the Closest Vector Problem Probabilistic Checking of Proofs and Hardness of Approximation Problems

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.778237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.340540Z digest=sha256:d6eebca97128dfe4edf2b85e6160117a18e32de7cd453c00245e4f71879d3a47

Observation c8e8111b-9cb6-4344-b3ab-f39d05b7da37 · outbound

This paper cites Just take the average! A n embarrassingly simple 2 \^ n-time algorithm for SVP (and CVP).

Covering convex bodies and the Closest Vector Problem Just take the average! A n embarrassingly simple 2 \^ n-time algorithm for SVP (and CVP)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.762149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.346022Z digest=sha256:fc58a2add9732d07b08838cfe640739bbaeae279da97566d48d48f0522584fa8

Observation 22da9156-0111-4c01-aacf-d35699d08e6c · outbound

This paper cites Sampling methods for shortest vectors, closest vectors and successive minima.

Covering convex bodies and the Closest Vector Problem Sampling methods for shortest vectors, closest vectors and successive minima

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.745671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.351569Z digest=sha256:97b3e8e489cb153be740ef88f856401334f95f1ec2297f2af7dd64226354be37

Observation 25606718-19a8-4f34-b1b3-4cb618565bcc · outbound

This paper cites A o(1/ \( \) 2) n -- time sieving algorithm for approximate integer programming.

Covering convex bodies and the Closest Vector Problem A o(1/ \( \) 2) n -- time sieving algorithm for approximate integer programming

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.729420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.356573Z digest=sha256:700ac5b107ca8039325488da660e11dc3856d14bd6730184cf117fc5e791bf67

Observation 50ab13f0-6f30-4f56-868c-c0aa53dafbd0 · outbound

This paper cites A Deterministic Polynomial Space Construction for eps-nets under any Norm.

Covering convex bodies and the Closest Vector Problem A Deterministic Polynomial Space Construction for eps-nets under any Norm

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:02:42.479877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.363327Z digest=sha256:2500816c2b01c0977de265a3b4e225bed3ce0d9a4b5903112d7538f4637ae72b

Observation 5fa70f80-048e-4ad1-8749-465220038059 · outbound

This paper cites Dyer, Alan M.

Covering convex bodies and the Closest Vector Problem Dyer, Alan M

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T12:02:42.368556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:02:42.368556Z digest=sha256:80051895cb42c8bd9d122c5a1a10cf3ffda9bee5b93b66b64b986d81a9327065

Observation a7b984d5-43b5-4f93-89df-fa6f34c1350c · outbound

This paper cites Lattice sparsification and the approximate closest vector problem.

Covering convex bodies and the Closest Vector Problem Lattice sparsification and the approximate closest vector problem

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.703644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.373525Z digest=sha256:98c0c21c46e7b442efebe8503d6bb89f42e6da84c21622e3e8580b3792781e20

Observation b910c3f4-983e-4bd7-9203-022253b54f74 · outbound

This paper cites Approximating CVP to within almost-polynomial factors is NP -hard.

Covering convex bodies and the Closest Vector Problem Approximating CVP to within almost-polynomial factors is NP -hard

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T12:02:42.378259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:02:42.378259Z digest=sha256:c099b8bdc4c6988d96652ff041d8be8efc5022f206f33ca5b3b848f49e816bc4

Observation 3428acb8-b364-4b26-8cc2-eb5d1561a1ae · outbound

This paper cites Enumerative lattice algorithms in any norm via m-ellipsoid coverings.

Covering convex bodies and the Closest Vector Problem Enumerative lattice algorithms in any norm via m-ellipsoid coverings

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.676285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.383140Z digest=sha256:4fab0ea227d506524dfaf3b9b724cce784af0ca86f4144a03c2fad7330e3b955

Observation b4c27e88-18d9-4847-9531-50244e1c56c4 · outbound

This paper cites Covering cubes and the closest vector problem.

Covering convex bodies and the Closest Vector Problem Covering cubes and the closest vector problem

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.660411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.388026Z digest=sha256:596b8fe8bbec6aa7c3702f6f9514c85b66f978a7b181f1255789a481172c38a5

Observation b5405363-82c3-4091-b54f-4b82fd94e9d8 · outbound

This paper cites Geometric Algorithms and Combinatorial Optimization , volume 40.

Covering convex bodies and the Closest Vector Problem Geometric Algorithms and Combinatorial Optimization , volume 40

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.644615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.393279Z digest=sha256:89e5ad1b5309f0586b61b45712800c964e180075a74b7398921318d71931bf0a

Observation d57f62d0-9739-4b2e-bca1-e03993915bba · outbound

This paper cites On compact representations of voronoi cells of lattices.

Covering convex bodies and the Closest Vector Problem On compact representations of voronoi cells of lattices

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.629127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.398180Z digest=sha256:1f562ff4a6518613c00ae95c5e81f7086015cda1b1417c09d627105f7387cdb8

Observation b921c128-d756-4375-b8f0-1288a1a45edf · outbound

This paper cites Minkowski's convex body theorem and integer programming.

Covering convex bodies and the Closest Vector Problem Minkowski's convex body theorem and integer programming

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-14T12:02:42.403162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T12:02:42.403162Z digest=sha256:9fa287b9ae46728b5b2947b03ece2ab067bad755d1cc14b0000ed8bcf6b07440

Observation e61f31a9-c5e4-4e62-8531-b93598edb806 · outbound

This paper cites an unresolved cited work.

Covering convex bodies and the Closest Vector Problem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:02:42.601281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.407815Z digest=sha256:39f4e25960d54e8c4207f01a5d3a09232c471fbe74a9f24a62b45923fdc11bb6

Observation c33d06e8-ba4a-4264-8257-40d5bd987505 · outbound

This paper cites On the modulus of smoothness and divergent series in banach spaces.

Covering convex bodies and the Closest Vector Problem On the modulus of smoothness and divergent series in banach spaces

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.585178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.412458Z digest=sha256:e01db06562478865f727fc5a23202341147201ed5625896cd09daa7f44e4fd0e

Observation dfe3606c-e8b9-47b7-b6a0-adbfc8fd1ba7 · outbound

This paper cites Entropy and asymptotic geometry of non-symmetric convex bodies.

Covering convex bodies and the Closest Vector Problem Entropy and asymptotic geometry of non-symmetric convex bodies

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.566883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.417084Z digest=sha256:7f38ed853428c02ab17397a1e0cc1480cdcb56e26433246aacc932f36b2402b2

Observation 0d59fcf7-4399-4c72-98bc-a379c6190a14 · outbound

This paper cites Swanepoel, and Gunter Wei.

Covering convex bodies and the Closest Vector Problem Swanepoel, and Gunter Wei

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.548124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.422026Z digest=sha256:054afa4df44ae0a736a2427fa5dfa634b3b822b68629f7cb1cd97ef7acb75a80

Observation 44ae5292-2f63-4e43-b989-3967ff44cd8a · outbound

This paper cites A deterministic single exponential time algorithm for most lattice problems based on voronoi cell computations.

Covering convex bodies and the Closest Vector Problem A deterministic single exponential time algorithm for most lattice problems based on voronoi cell computations

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.530607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.426889Z digest=sha256:31035615b7202316090839345ebdcbedcdd8958980fdd5a07b8d11d44996527a

Observation ea6d8f1d-5e03-4513-9f31-95de2584bb32 · outbound

This paper cites Approximating the centroid is hard.

Covering convex bodies and the Closest Vector Problem Approximating the centroid is hard

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.512972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.431515Z digest=sha256:e829a02b3ba27e97564c31499c54e95b88b61ea47580242152bfba47cc264d45

Observation 2741cc35-ab63-4abe-95ee-16eb59ce6f54 · outbound

This paper cites van Emde Boas.

Covering convex bodies and the Closest Vector Problem van Emde Boas

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:02:42.496744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-14T12:02:42.435990Z digest=sha256:769cf633db103130b095bd47e04b4a11d9118db6d0ce1a27cede53ffa5febd2f

Pith citing papers

No inbound Pith citation observations are available.