Pith Number

pith:AWPJXYK7

pith:2010:AWPJXYK7BPDIOGRAYZHSG7VSQ2

not attested not anchored not stored refs pending

Dense packing of space with various convex solids

Andr\'as Bezdek, W{\l}odzimierz Kuperberg

arxiv:1008.2398 v1 · 2010-08-13 · 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{AWPJXYK7BPDIOGRAYZHSG7VSQ2}

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	2026-05-18T01:09:23.670437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

059e9be15f0bc6871a20c64f237eb286be185ace012511a42ad007371e38ab6b

Aliases

arxiv: 1008.2398 · arxiv_version: 1008.2398v1 · doi: 10.48550/arxiv.1008.2398 · pith_short_12: AWPJXYK7BPDI · pith_short_16: AWPJXYK7BPDIOGRA · pith_short_8: AWPJXYK7

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/AWPJXYK7BPDIOGRAYZHSG7VSQ2 \
  | 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: 059e9be15f0bc6871a20c64f237eb286be185ace012511a42ad007371e38ab6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0a33f849e8e1e94173f735d6d65882a669b11a33d1d0817a7636cd50653996",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-08-13T22:08:33Z",
    "title_canon_sha256": "696e265e83aa26c0afe5564cfdaee108c130d40a4509ce054a5eba88efa58d19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2398",
    "kind": "arxiv",
    "version": 1
  }
}