Pith Number

pith:G63AJDD5

pith:2011:G63AJDD54KEDGEBJ3OH6BGN52O

not attested not anchored not stored refs pending

The Randic index and the diameter of graphs

Linyuan Lu, Yiting Yang

arxiv:1104.0426 v1 · 2011-04-03 · 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{G63AJDD54KEDGEBJ3OH6BGN52O}

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	2026-05-18T04:25:04.043691Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b6048c7de288331029db8fe099bdd3b265bd0cb28412dc8251cf97c24cc891

Aliases

arxiv: 1104.0426 · arxiv_version: 1104.0426v1 · doi: 10.48550/arxiv.1104.0426 · pith_short_12: G63AJDD54KED · pith_short_16: G63AJDD54KEDGEBJ · pith_short_8: G63AJDD5

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/G63AJDD54KEDGEBJ3OH6BGN52O \
  | 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: 37b6048c7de288331029db8fe099bdd3b265bd0cb28412dc8251cf97c24cc891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c994d58d1942a8417c452fce7c73320c3fafe6be893d8406b0556ce779a305f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-03T20:29:31Z",
    "title_canon_sha256": "16d9e2899158775fa9b1e619e9280c0a63a76874fb10ac7de8e72d036d2bc8bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0426",
    "kind": "arxiv",
    "version": 1
  }
}