Pith Number

pith:UBO73Y2Y

pith:2012:UBO73Y2YBIVOSD2QRSAO2QHH2G

not attested not anchored not stored refs pending

The number of graphs of given diameter

Younjin Kim, Zoltan Furedi

arxiv:1204.4580 v1 · 2012-04-20 · 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{UBO73Y2YBIVOSD2QRSAO2QHH2G}

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	2026-05-18T03:57:26.047816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05dfde3580a2ae90f508c80ed40e7d18fb5f669b32d2dde984a81b16339c5b4

Aliases

arxiv: 1204.4580 · arxiv_version: 1204.4580v1 · doi: 10.48550/arxiv.1204.4580 · pith_short_12: UBO73Y2YBIVO · pith_short_16: UBO73Y2YBIVOSD2Q · pith_short_8: UBO73Y2Y

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/UBO73Y2YBIVOSD2QRSAO2QHH2G \
  | 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: a05dfde3580a2ae90f508c80ed40e7d18fb5f669b32d2dde984a81b16339c5b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac235ae84689143b0c863adfbc6011bb26fe1a1235396cf0add0f75585c6f4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-20T10:44:33Z",
    "title_canon_sha256": "50f0a2d7ce10ede7d297a042fba19a3b20553f91a92ee0843e5867cc7c8603ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4580",
    "kind": "arxiv",
    "version": 1
  }
}