Pith Number

pith:5ZJONB4O

pith:2009:5ZJONB4OJL3FOVVPYVWWHUD4VY

not attested not anchored not stored refs pending

Covering convex bodies by cylinders and lattice points by flats

Alexander Litvak, Karoly Bezdek

arxiv:0903.4842 v1 · 2009-03-27 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZJONB4OJL3FOVVPYVWWHUD4VY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:12:10.730995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee52e6878e4af65756afc56d63d07cae0a7b3b095f5275997489f078c7e7ca65

Aliases

arxiv: 0903.4842 · arxiv_version: 0903.4842v1 · doi: 10.48550/arxiv.0903.4842 · pith_short_12: 5ZJONB4OJL3F · pith_short_16: 5ZJONB4OJL3FOVVP · pith_short_8: 5ZJONB4O

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/5ZJONB4OJL3FOVVPYVWWHUD4VY \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ee52e6878e4af65756afc56d63d07cae0a7b3b095f5275997489f078c7e7ca65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33aba11b2b12b4666bcdf28af933f5bd7cabd76b8bba4864715ee5165fdc059c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2009-03-27T16:26:46Z",
    "title_canon_sha256": "1149651d7c13a2783e26aeb19301e12d7bbffdc8346cf13ca1cebfd81b66731f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4842",
    "kind": "arxiv",
    "version": 1
  }
}