Pith Number

pith:UCVZVIAI

pith:2008:UCVZVIAIOAAZRPVF3ZVGDQHACK

not attested not anchored not stored refs pending

Contractibility and the Hadwiger Conjecture

David R. Wood

arxiv:0811.2012 v2 · 2008-11-13 · 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{UCVZVIAIOAAZRPVF3ZVGDQHACK}

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.

Cited by

1 paper in Pith

Clustered Variants of Haj\'os' Conjecture

Receipt and verification

First computed	2026-05-18T04:11:49.766734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ab9aa008700198bea5de6a61c0e0129d9d8f9c94a9903b4c76c5e4821e7836

Aliases

arxiv: 0811.2012 · arxiv_version: 0811.2012v2 · doi: 10.48550/arxiv.0811.2012 · pith_short_12: UCVZVIAIOAAZ · pith_short_16: UCVZVIAIOAAZRPVF · pith_short_8: UCVZVIAI

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/UCVZVIAIOAAZRPVF3ZVGDQHACK \
  | 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: a0ab9aa008700198bea5de6a61c0e0129d9d8f9c94a9903b4c76c5e4821e7836

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89b600c2b30ffbbc1e69eae24604f4cf2e0697ce41f9d98b76f952d6a87d50d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-11-13T00:22:26Z",
    "title_canon_sha256": "de50b533de468d269c379227e9216cea30033b3075fbd58492c82314217f2bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2012",
    "kind": "arxiv",
    "version": 2
  }
}