Pith Number

pith:4TFO6GHJ

pith:2016:4TFO6GHJFEZPFKXAAIRING4GKZ

not attested not anchored not stored refs pending

Forbidden minors: Finding the finite few

Thomas W. Mattman

arxiv:1608.04066 v2 · 2016-08-14 · 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{4TFO6GHJFEZPFKXAAIRING4GKZ}

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	2026-05-18T00:00:02.759022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4caef18e92932f2aae00222869b865649eab5c7bcf6f9a9328ca38af0610848

Aliases

arxiv: 1608.04066 · arxiv_version: 1608.04066v2 · doi: 10.48550/arxiv.1608.04066 · pith_short_12: 4TFO6GHJFEZP · pith_short_16: 4TFO6GHJFEZPFKXA · pith_short_8: 4TFO6GHJ

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/4TFO6GHJFEZPFKXAAIRING4GKZ \
  | 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: e4caef18e92932f2aae00222869b865649eab5c7bcf6f9a9328ca38af0610848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "306be721a79d5036c54d9b9973795ab9b2a10d0916be4db5c2737caece2fd4a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-14T06:12:09Z",
    "title_canon_sha256": "f4932d3f78b0690165743061c2aaaac6232358d6fc47f894ba7bd1a2078a79a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04066",
    "kind": "arxiv",
    "version": 2
  }
}