Pith Number

pith:DUMPD7MQ

pith:2010:DUMPD7MQUOVFEA7GGB3JCDMTS5

not attested not anchored not stored refs pending

Toward a language theoretic proof of the four color theorem

Bobbe Cooper, Doron Zeilberger, Eric Rowland

arxiv:1006.1324 v2 · 2010-06-07 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DUMPD7MQUOVFEA7GGB3JCDMTS5}

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	2026-05-18T02:54:05.495125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d18f1fd90a3aa5203e63076910d9397500a64a1b55547ea10dda081596826d0

Aliases

arxiv: 1006.1324 · arxiv_version: 1006.1324v2 · doi: 10.48550/arxiv.1006.1324 · pith_short_12: DUMPD7MQUOVF · pith_short_16: DUMPD7MQUOVFEA7G · pith_short_8: DUMPD7MQ

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/DUMPD7MQUOVFEA7GGB3JCDMTS5 \
  | 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: 1d18f1fd90a3aa5203e63076910d9397500a64a1b55547ea10dda081596826d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f448147349e857db6a5570416e76ac78a1956875ab21e1ddfbd5bc95167182c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-06-07T18:33:52Z",
    "title_canon_sha256": "596c1802cd077feca6248b3c9146095f7a99191a9dd424872bad32a9189967a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.1324",
    "kind": "arxiv",
    "version": 2
  }
}