Pith Number

pith:MDXRWLAR

pith:2012:MDXRWLARMNZZQQQTK6BRHZQPJH

not attested not anchored not stored refs pending

Hadwiger's conjecture for graphs with infinite chromatic number

Dominic van der Zypen

arxiv:1212.3093 v1 · 2012-12-13 · math.CO · cs.DM · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDXRWLARMNZZQQQTK6BRHZQPJH}

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	2026-05-18T03:38:33.785197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ef1b2c116373984213578313e60f49cc28b907ac49bc7215380e3898a86291

Aliases

arxiv: 1212.3093 · arxiv_version: 1212.3093v1 · doi: 10.48550/arxiv.1212.3093 · pith_short_12: MDXRWLARMNZZ · pith_short_16: MDXRWLARMNZZQQQT · pith_short_8: MDXRWLAR

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/MDXRWLARMNZZQQQTK6BRHZQPJH \
  | 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: 60ef1b2c116373984213578313e60f49cc28b907ac49bc7215380e3898a86291

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a77184f1acb6653c549dd4f6309a8a3cbbb3bb64a4bb9e2a5df22abc4918f12",
    "cross_cats_sorted": [
      "cs.DM",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-13T09:10:00Z",
    "title_canon_sha256": "e57b775c2214116e64c1d859bdd831e255fc2d32e5ab04c6030c5f626eb1d22c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3093",
    "kind": "arxiv",
    "version": 1
  }
}