Pith Number

pith:4MGHTZVI

pith:2005:4MGHTZVIJ6A77H5E4QYI2EYXFQ

not attested not anchored not stored refs pending

Enumeration of non-positive planar trivalent graphs

Bruce W. Westbury

arxiv:math/0507112 v1 · 2005-07-06 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4MGHTZVIJ6A77H5E4QYI2EYXFQ}

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	2026-05-18T04:24:52.161522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e30c79e6a84f81ff9fa4e4308d13172c2415cac520f04df2fc487ed5f9d9ccae

Aliases

arxiv: math/0507112 · arxiv_version: math/0507112v1 · doi: 10.48550/arxiv.math/0507112 · pith_short_12: 4MGHTZVIJ6A7 · pith_short_16: 4MGHTZVIJ6A77H5E · pith_short_8: 4MGHTZVI

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/4MGHTZVIJ6A77H5E4QYI2EYXFQ \
  | 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: e30c79e6a84f81ff9fa4e4308d13172c2415cac520f04df2fc487ed5f9d9ccae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a04a119110f1d0c2217581c369e7ad18768ce61fe35c26ed802153a9e96d706",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-07-06T07:28:26Z",
    "title_canon_sha256": "47cc6838539f6ea18b1b5fb709baf591f23d07dca92455aeb5edd37a1084a31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0507112",
    "kind": "arxiv",
    "version": 1
  }
}