Pith Number

pith:IYR3ZA3D

pith:2009:IYR3ZA3D3KIVWCPOILWAJR2HFB

not attested not anchored not stored refs pending

Cutwidth and degeneracy of graphs

Benoit Kloeckner (IF)

arxiv:0907.5138 v2 · 2009-07-29 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYR3ZA3D3KIVWCPOILWAJR2HFB}

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	2026-05-18T04:38:14.409040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4623bc8363da915b09ee42ec04c747287126308facbe4fa2c466c7617c10f709

Aliases

arxiv: 0907.5138 · arxiv_version: 0907.5138v2 · doi: 10.48550/arxiv.0907.5138 · pith_short_12: IYR3ZA3D3KIV · pith_short_16: IYR3ZA3D3KIVWCPO · pith_short_8: IYR3ZA3D

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/IYR3ZA3D3KIVWCPOILWAJR2HFB \
  | 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: 4623bc8363da915b09ee42ec04c747287126308facbe4fa2c466c7617c10f709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f8081365df4b98a46aeaf789f8bb420407161bc0b44eaec179b320629c1c85",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-07-29T14:09:22Z",
    "title_canon_sha256": "c7d6a741b22552924dae2e525d2c50c80be7d4f7eb970ca943fe010fea36a775"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5138",
    "kind": "arxiv",
    "version": 2
  }
}