Pith Number

pith:MUFYCDM2

pith:2014:MUFYCDM2YY6K472TX4SGM67Z2K

not attested not anchored not stored refs pending

Excluded minors in cubic graphs

Neil Robertson, Paul Seymour, Robin Thomas

arxiv:1403.2118 v1 · 2014-03-09 · 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{MUFYCDM2YY6K472TX4SGM67Z2K}

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	2026-05-18T02:56:50.838232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650b810d9ac63cae7f53bf24667bf9d2a44f37a0792f122ec34958b79c9415c8

Aliases

arxiv: 1403.2118 · arxiv_version: 1403.2118v1 · doi: 10.48550/arxiv.1403.2118 · pith_short_12: MUFYCDM2YY6K · pith_short_16: MUFYCDM2YY6K472T · pith_short_8: MUFYCDM2

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/MUFYCDM2YY6K472TX4SGM67Z2K \
  | 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: 650b810d9ac63cae7f53bf24667bf9d2a44f37a0792f122ec34958b79c9415c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9c0ae06274aa6f352b70162df48dac0942048f8f587c45dd5a4b8eb911afc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-09T23:58:36Z",
    "title_canon_sha256": "71530dfadabeb22656ddd4df0e880af13de879e6c3db797e48154d718eb1cfc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.2118",
    "kind": "arxiv",
    "version": 1
  }
}