Pith Number

pith:727BAFPL

pith:2014:727BAFPL2EKWLJKSVBP5UXYSYP

not attested not anchored not stored refs pending

Yet another proof of Brooks' theorem

Landon Rabern

arxiv:1409.6812 v1 · 2014-09-24 · 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{727BAFPL2EKWLJKSVBP5UXYSYP}

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	2026-05-18T02:42:00.371451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febe1015ebd11565a552a85fda5f12c3d2be99ccd926746c5f72c3d8c75aff30

Aliases

arxiv: 1409.6812 · arxiv_version: 1409.6812v1 · doi: 10.48550/arxiv.1409.6812 · pith_short_12: 727BAFPL2EKW · pith_short_16: 727BAFPL2EKWLJKS · pith_short_8: 727BAFPL

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/727BAFPL2EKWLJKSVBP5UXYSYP \
  | 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: febe1015ebd11565a552a85fda5f12c3d2be99ccd926746c5f72c3d8c75aff30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab396e3063a487024055e1b6c59eaa7f5b5e81ce39e574d095b9a3fb3790742",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-24T03:54:06Z",
    "title_canon_sha256": "52883752de4eee83e2fa86a3380227d01bf1247d32540c58aab22d8b3a6110bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6812",
    "kind": "arxiv",
    "version": 1
  }
}