Pith Number

pith:D2QS7WWF

pith:2014:D2QS7WWF3NKSB557LCE5I52ZIN

not attested not anchored not stored refs pending

Logical limit laws for minor-closed classes of graphs

Anusch Taraz, Marc Noy, Peter Heinig, Tobias Muller

arxiv:1401.7021 v3 · 2014-01-27 · math.CO · math.LO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2QS7WWF3NKSB557LCE5I52ZIN}

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	2026-05-18T00:26:31.005973Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea12fdac5db5520f7bf5889d47759437461b84c9174e4ca7244daea9d9f49d9

Aliases

arxiv: 1401.7021 · arxiv_version: 1401.7021v3 · doi: 10.48550/arxiv.1401.7021 · pith_short_12: D2QS7WWF3NKS · pith_short_16: D2QS7WWF3NKSB557 · pith_short_8: D2QS7WWF

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/D2QS7WWF3NKSB557LCE5I52ZIN \
  | 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: 1ea12fdac5db5520f7bf5889d47759437461b84c9174e4ca7244daea9d9f49d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bfe8c86afd25b1e0c66f97ec2eb670b262d1512d899dc65e3cbf2422891357a",
    "cross_cats_sorted": [
      "math.LO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-01-27T21:04:22Z",
    "title_canon_sha256": "3aea549174425b0323bc11a398819b15be432853584592f367ef24222466d230"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7021",
    "kind": "arxiv",
    "version": 3
  }
}