Pith Number

pith:PRZUSH3D

pith:2012:PRZUSH3DMKSQB4N2Y2LNCLRROU

not attested not anchored not stored refs pending

K_6 minors in 6-connected graphs of bounded tree-width

Ken-ichi Kawarabayashi, Paul Wollan, Robin Thomas, Serguei Norine

arxiv:1203.2171 v2 · 2012-03-09 · 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{PRZUSH3DMKSQB4N2Y2LNCLRROU}

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	2026-05-18T03:28:54.011139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c73491f6362a500f1bac696d12e317515a97a82fcd0ae25e609de05f1d6bd30

Aliases

arxiv: 1203.2171 · arxiv_version: 1203.2171v2 · doi: 10.48550/arxiv.1203.2171 · pith_short_12: PRZUSH3DMKSQ · pith_short_16: PRZUSH3DMKSQB4N2 · pith_short_8: PRZUSH3D

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/PRZUSH3DMKSQB4N2Y2LNCLRROU \
  | 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: 7c73491f6362a500f1bac696d12e317515a97a82fcd0ae25e609de05f1d6bd30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "166a29814e99118a74dd6e9b1a134f6aa1711d880607290eb90ce6dd4a88f778",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-09T20:24:10Z",
    "title_canon_sha256": "6d850241c155d31ba57f5213f45c5069f7eefa0b40e935d95ff506d4c546715c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2171",
    "kind": "arxiv",
    "version": 2
  }
}