Pith Number

pith:5XUIFDXJ

pith:2011:5XUIFDXJVFYY2ES3SJSOMEO6N5

not attested not anchored not stored refs pending

On empty pentagons and hexagons in planar point sets

Pavel Valtr

arxiv:1111.5656 v1 · 2011-11-24 · math.CO · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5XUIFDXJVFYY2ES3SJSOMEO6N5}

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	2026-05-18T04:07:42.646031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede8828ee9a9718d125b9264e611de6f4e399e1690e4abf4a1a62b9b9481c362

Aliases

arxiv: 1111.5656 · arxiv_version: 1111.5656v1 · doi: 10.48550/arxiv.1111.5656 · pith_short_12: 5XUIFDXJVFYY · pith_short_16: 5XUIFDXJVFYY2ES3 · pith_short_8: 5XUIFDXJ

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/5XUIFDXJVFYY2ES3SJSOMEO6N5 \
  | 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: ede8828ee9a9718d125b9264e611de6f4e399e1690e4abf4a1a62b9b9481c362

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f156ae26199bbc19c3a68b71be7216b2d1c7bb58466e5224392cb9fe13c8b0",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-11-24T00:27:41Z",
    "title_canon_sha256": "4101840bf9832f8dff478fff5e08acffe96b450520412245765aa96ec4bad329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5656",
    "kind": "arxiv",
    "version": 1
  }
}