Pith Number

pith:OFG7LUUI

pith:2018:OFG7LUUICK27LSQXFOUKGPQLE4

not attested not anchored not stored refs pending

A short proof of Brooks' theorem

Mariusz Zaj\k{a}c

arxiv:1805.11176 v1 · 2018-05-28 · 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{OFG7LUUICK27LSQXFOUKGPQLE4}

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	2026-05-18T00:14:43.662594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

714df5d28812b5f5ca172ba8a33e0b2737521c187c5bb9723eb3374ca461dc54

Aliases

arxiv: 1805.11176 · arxiv_version: 1805.11176v1 · doi: 10.48550/arxiv.1805.11176 · pith_short_12: OFG7LUUICK27 · pith_short_16: OFG7LUUICK27LSQX · pith_short_8: OFG7LUUI

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/OFG7LUUICK27LSQXFOUKGPQLE4 \
  | 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: 714df5d28812b5f5ca172ba8a33e0b2737521c187c5bb9723eb3374ca461dc54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49c3ae8ce66413ed7b478882963cb90c3046da2e800cd3b5f32c048f2e4a887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-28T21:07:23Z",
    "title_canon_sha256": "ccb48ec68f4de39835f4fad3b421afc2fbb8926d4ba00be4c15e92d9051c72ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.11176",
    "kind": "arxiv",
    "version": 1
  }
}