Pith Number

pith:MZT7U45N

pith:2008:MZT7U45N2UKYZAXLTBQIO5JAWD

not attested not anchored not stored refs pending

The t-improper chromatic number of random graphs

Colin McDiarmid, Ross J. Kang

arxiv:0809.4726 v2 · 2008-09-26 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZT7U45N2UKYZAXLTBQIO5JAWD}

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	2026-05-18T04:41:16.482673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6667fa73add5158c82eb9860877520b0e45bd6e59f80e6484dd90f5a9d79e8b5

Aliases

arxiv: 0809.4726 · arxiv_version: 0809.4726v2 · doi: 10.48550/arxiv.0809.4726 · pith_short_12: MZT7U45N2UKY · pith_short_16: MZT7U45N2UKYZAXL · pith_short_8: MZT7U45N

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/MZT7U45N2UKYZAXLTBQIO5JAWD \
  | 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: 6667fa73add5158c82eb9860877520b0e45bd6e59f80e6484dd90f5a9d79e8b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5482436632d255fc2361153606e65317f7f5aafeeb4f68e97c27cad540af020e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-09-26T22:38:20Z",
    "title_canon_sha256": "34545ba44036218b79ae6103da59102749decfd4fbdbbcfa6691f5d7eefdd41e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.4726",
    "kind": "arxiv",
    "version": 2
  }
}