Pith Number

pith:32UVQ5OF

pith:2010:32UVQ5OFYYY3ORN2D3PZ5BA4ZI

not attested not anchored not stored refs pending

Local chromatic number of quadrangulations of surfaces

Bojan Mohar, G\'abor Simonyi, G\'abor Tardos

arxiv:1010.0133 v1 · 2010-10-01 · math.CO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32UVQ5OFYYY3ORN2D3PZ5BA4ZI}

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	2026-05-18T04:40:00.225768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dea95875c5c631b745ba1edf9e841cca2e480f418b744101e4590e59d088e7f5

Aliases

arxiv: 1010.0133 · arxiv_version: 1010.0133v1 · doi: 10.48550/arxiv.1010.0133 · pith_short_12: 32UVQ5OFYYY3 · pith_short_16: 32UVQ5OFYYY3ORN2 · pith_short_8: 32UVQ5OF

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/32UVQ5OFYYY3ORN2D3PZ5BA4ZI \
  | 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: dea95875c5c631b745ba1edf9e841cca2e480f418b744101e4590e59d088e7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79cc900962ed67efebec9133448b0810512eeaf07a6fd29375f111ae902bd223",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-10-01T12:02:23Z",
    "title_canon_sha256": "cb407106ad10c1faac5fc89d33be5f02524972ec12b596938cba09bd10da2192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0133",
    "kind": "arxiv",
    "version": 1
  }
}