Pith Number

pith:D3BSDTNO

pith:2014:D3BSDTNOA7L6IEPIW64N3IBT7F

not attested not anchored not stored refs pending

Coloring, sparseness, and girth

Alexandr Kostochka, Benjamin Reiniger, Douglas B. West, Noga Alon, Xuding Zhu

arxiv:1412.8002 v2 · 2014-12-26 · 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{D3BSDTNOA7L6IEPIW64N3IBT7F}

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	2026-05-18T02:17:22.382532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ec321cdae07d7e411e8b7b8dda033f96e8e0a2123ec80bdd2a506e1f0933472

Aliases

arxiv: 1412.8002 · arxiv_version: 1412.8002v2 · doi: 10.48550/arxiv.1412.8002 · pith_short_12: D3BSDTNOA7L6 · pith_short_16: D3BSDTNOA7L6IEPI · pith_short_8: D3BSDTNO

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/D3BSDTNOA7L6IEPIW64N3IBT7F \
  | 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: 1ec321cdae07d7e411e8b7b8dda033f96e8e0a2123ec80bdd2a506e1f0933472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c7dc6357c1aaaa6cec39482a270c0194fb6959ef4080f48a6db298a179f824",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-26T23:39:01Z",
    "title_canon_sha256": "18805c3f9df5b014d5824e87d1922315b032483b460f9fc3b5a9c7d966e16161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8002",
    "kind": "arxiv",
    "version": 2
  }
}