Pith Number

pith:C5JSFJMW

pith:2022:C5JSFJMWTPIRAOCOTNF5TCA64E

not attested not anchored not stored refs pending

The excluded minors for 2- and 3-regular matroids

Charles Semple, Geoff Whittle, James Oxley, Nick Brettell

arxiv:2206.15188 v2 · 2022-06-30 · 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{C5JSFJMWTPIRAOCOTNF5TCA64E}

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	2026-07-05T06:48:02.828847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175322a5969bd110384e9b4bd9881ee11fce03940bfc473b4146d14407ce3b90

Aliases

arxiv: 2206.15188 · arxiv_version: 2206.15188v2 · doi: 10.48550/arxiv.2206.15188 · pith_short_12: C5JSFJMWTPIR · pith_short_16: C5JSFJMWTPIRAOCO · pith_short_8: C5JSFJMW

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/C5JSFJMWTPIRAOCOTNF5TCA64E \
  | 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: 175322a5969bd110384e9b4bd9881ee11fce03940bfc473b4146d14407ce3b90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b5d7e236ce832e0518493d01e5c585fe55797ca9d95d30630d88ab7da83445",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-30T10:55:20Z",
    "title_canon_sha256": "80b0990fb0bc1974cd7b436471a5c89850a6e99889d67ad365f0d4b6d8ab203d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.15188",
    "kind": "arxiv",
    "version": 2
  }
}