Pith Number

pith:3KFEY23U

pith:2009:3KFEY23U4JJSHVMIPKASLQHOZS

not attested not anchored not stored refs pending

Several examples of neigbourly polyhedra in co-dimension 4

Rostislav Devyatov

arxiv:0902.1435 v1 · 2009-02-09 · math.CO · 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{3KFEY23U4JJSHVMIPKASLQHOZS}

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	2026-05-18T01:30:43.626840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8a4c6b74e25323d5887a8125c0eecc9241e09b1aaee2d6cb9469ab6ce4f052

Aliases

arxiv: 0902.1435 · arxiv_version: 0902.1435v1 · doi: 10.48550/arxiv.0902.1435 · pith_short_12: 3KFEY23U4JJS · pith_short_16: 3KFEY23U4JJSHVMI · pith_short_8: 3KFEY23U

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/3KFEY23U4JJSHVMIPKASLQHOZS \
  | 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: da8a4c6b74e25323d5887a8125c0eecc9241e09b1aaee2d6cb9469ab6ce4f052

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d12c352a71ac10cd7cee753105b32a3cc27e9cd9e9ae864d193b8fa2c9dc441",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-02-09T15:17:10Z",
    "title_canon_sha256": "0e87d099ac034a65eee71d2890f823a5144a8e04396c1e918ce6aded7566828f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1435",
    "kind": "arxiv",
    "version": 1
  }
}