Pith Number

pith:QRIRXEEG

pith:2012:QRIRXEEGTSAS4MKZ2M5H3GLBYB

not attested not anchored not stored refs pending

Claw-free graphs, skeletal graphs, and a stronger conjecture on $\omega$, $\Delta$, and $\chi$

Andrew D. King, Bruce A. Reed

arxiv:1212.3036 v1 · 2012-12-13 · cs.DM · 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{QRIRXEEGTSAS4MKZ2M5H3GLBYB}

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	2026-05-18T03:38:33.881733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84511b90869c812e3159d33a7d9961c04fb2eef815f15d6a7c76e92cd86a5f23

Aliases

arxiv: 1212.3036 · arxiv_version: 1212.3036v1 · doi: 10.48550/arxiv.1212.3036 · pith_short_12: QRIRXEEGTSAS · pith_short_16: QRIRXEEGTSAS4MKZ · pith_short_8: QRIRXEEG

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/QRIRXEEGTSAS4MKZ2M5H3GLBYB \
  | 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: 84511b90869c812e3159d33a7d9961c04fb2eef815f15d6a7c76e92cd86a5f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6333ba61bc524499f368b9a5784a87273f2d0e2a575dbece77178f50ca0757",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-12-13T01:58:37Z",
    "title_canon_sha256": "d8406d19005e230821fe84f4d95aaef4c26498bfe20e565548a731d97d825fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3036",
    "kind": "arxiv",
    "version": 1
  }
}