Pith Number

pith:XSKNDE7I

pith:2012:XSKNDE7IIZLMUQEPUJC3VSHI6S

not attested not anchored not stored refs pending

A different short proof of Brooks' theorem

Landon Rabern

arxiv:1205.3253 v5 · 2012-05-15 · 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{XSKNDE7IIZLMUQEPUJC3VSHI6S}

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	2026-05-18T03:20:06.702026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc94d193e84656ca408fa245bac8e8f48fd494c6a3660fe80676aa81aa52716d

Aliases

arxiv: 1205.3253 · arxiv_version: 1205.3253v5 · doi: 10.48550/arxiv.1205.3253 · pith_short_12: XSKNDE7IIZLM · pith_short_16: XSKNDE7IIZLMUQEP · pith_short_8: XSKNDE7I

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/XSKNDE7IIZLMUQEPUJC3VSHI6S \
  | 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: bc94d193e84656ca408fa245bac8e8f48fd494c6a3660fe80676aa81aa52716d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fdcb55e66f5d156afc11948d4d8e20f77aab78f6c10a1b33a61376f819a882a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-05-15T04:18:35Z",
    "title_canon_sha256": "85f2f2cc7e190feed589764ac24bd34efa8eab26cd5369dfa0c743682a7113df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3253",
    "kind": "arxiv",
    "version": 5
  }
}