pith. sign in
Pith Number

pith:PU2KZP3N

pith:2012:PU2KZP3NO7MLSJOI5463FTDR3F
not attested not anchored not stored refs pending

How Many Potatoes are in a Mesh?

J\'anos Pach, Maarten L\"offler, Marc van Kreveld

arxiv:1209.3954 v1 · 2012-09-18 · cs.DM · cs.CG · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PU2KZP3NO7MLSJOI5463FTDR3F}

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 2026-05-18T03:45:22.156847Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d34acbf6d77d8b925c8ef3db2cc71d95739ddf670cb28a673cb8ad3effd6214

Aliases

arxiv: 1209.3954 · arxiv_version: 1209.3954v1 · doi: 10.48550/arxiv.1209.3954 · pith_short_12: PU2KZP3NO7ML · pith_short_16: PU2KZP3NO7MLSJOI · pith_short_8: PU2KZP3N
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PU2KZP3NO7MLSJOI5463FTDR3F \
  | 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: 7d34acbf6d77d8b925c8ef3db2cc71d95739ddf670cb28a673cb8ad3effd6214
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2b4b2b31f82dcd7e7bafd2b40a020c41e682aaeadacfc109ef6229c69a49c2cc",
    "cross_cats_sorted": [
      "cs.CG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-09-18T13:25:40Z",
    "title_canon_sha256": "ba457c418448f8c2aac70bc13830a2bc6e48d86ef17103b0556084215b00b1c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3954",
    "kind": "arxiv",
    "version": 1
  }
}