Pith Number

pith:YM3BUPI2

pith:2006:YM3BUPI2IQGODNPUYEOHFLFCLC

not attested not anchored not stored refs pending

On the quantum chromatic number of a graph

Andreas Winter, Ashley Montanaro, Michael W. Newman, Peter J. Cameron, Simone Severini

arxiv:quant-ph/0608016 v3 · 2006-08-01 · quant-ph · 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{YM3BUPI2IQGODNPUYEOHFLFCLC}

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	2026-05-18T04:08:45.805748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3361a3d1a440ce1b5f4c11c72aca258b399309810e4d1d05d2e8bd4b929497a

Aliases

arxiv: quant-ph/0608016 · arxiv_version: quant-ph/0608016v3 · doi: 10.48550/arxiv.quant-ph/0608016 · pith_short_12: YM3BUPI2IQGO · pith_short_16: YM3BUPI2IQGODNPU · pith_short_8: YM3BUPI2

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/YM3BUPI2IQGODNPUYEOHFLFCLC \
  | 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: c3361a3d1a440ce1b5f4c11c72aca258b399309810e4d1d05d2e8bd4b929497a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e1beeb5aa7f9d8e85f41f7cef7fbfacf27fe80be477ecf3d191aa6be7bcfdb2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-08-01T17:14:16Z",
    "title_canon_sha256": "d1ccdbe6974b47482a9495f869632a77eace2c7e3871236fce7d63df9e70a555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0608016",
    "kind": "arxiv",
    "version": 3
  }
}