Pith Number

pith:JSB5QXHJ

pith:2012:JSB5QXHJXV7Q6KIMVBTWIIYIIH

not attested not anchored not stored refs pending

K_6 minors in large 6-connected graphs

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

arxiv:1203.2192 v1 · 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{JSB5QXHJXV7Q6KIMVBTWIIYIIH}

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	2026-05-18T04:00:26.169022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c83d85ce9bd7f0f290ca86764230841cb6eb115118870475b3e263894f8c6f3

Aliases

arxiv: 1203.2192 · arxiv_version: 1203.2192v1 · doi: 10.48550/arxiv.1203.2192 · pith_short_12: JSB5QXHJXV7Q · pith_short_16: JSB5QXHJXV7Q6KIM · pith_short_8: JSB5QXHJ

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/JSB5QXHJXV7Q6KIMVBTWIIYIIH \
  | 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: 4c83d85ce9bd7f0f290ca86764230841cb6eb115118870475b3e263894f8c6f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa964c8c38ee9a10a3428d2c33885bea344fb9dc95fda5df4972fc0f48ed2ca1",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-09T21:48:59Z",
    "title_canon_sha256": "7180ace4d191fd28f5e45e02134180882571458942741f0192342a9d243b19af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2192",
    "kind": "arxiv",
    "version": 1
  }
}