Pith Number

pith:IPI373RF

pith:2011:IPI373RFX5JZSDJVQXTOCBWQSO

not attested not anchored not stored refs pending

Chromatic number, clique subdivisions, and the conjectures of Haj\'os and Erd\H{o}s-Fajtlowicz

Benny Sudakov, Choongbum Lee, Jacob Fox

arxiv:1107.1920 v3 · 2011-07-11 · 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{IPI373RFX5JZSDJVQXTOCBWQSO}

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	2026-05-18T04:02:25.154604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43d1bfee25bf53990d3585e6e106d093a1c3944b48118b4f39acf857cf90a613

Aliases

arxiv: 1107.1920 · arxiv_version: 1107.1920v3 · doi: 10.48550/arxiv.1107.1920 · pith_short_12: IPI373RFX5JZ · pith_short_16: IPI373RFX5JZSDJV · pith_short_8: IPI373RF

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/IPI373RFX5JZSDJVQXTOCBWQSO \
  | 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: 43d1bfee25bf53990d3585e6e106d093a1c3944b48118b4f39acf857cf90a613

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baa67e498250668c4378d1bff7ce633d6d11e21a6718f4a9ba52f64524b27390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-07-11T01:48:12Z",
    "title_canon_sha256": "e804bacaff70078d0212a5349dfa4ddcac2f1ea425019cd0b0b485d525a64091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1920",
    "kind": "arxiv",
    "version": 3
  }
}