Pith Number

pith:CRGO6WDI

pith:2012:CRGO6WDICLWF7U7XKBFM2H5SQZ

not attested not anchored not stored refs pending

On a Conjecture of Randi\'{c} Index and Graph Radius

Hanyuan Deng, Jie Zhang, Zikai Tang

arxiv:1210.2543 v1 · 2012-10-09 · 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{CRGO6WDICLWF7U7XKBFM2H5SQZ}

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	2026-05-18T03:43:41.247098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

144cef586812ec5fd3f7504acd1fb2867a39a361ab15063da88d24b2ed28da94

Aliases

arxiv: 1210.2543 · arxiv_version: 1210.2543v1 · doi: 10.48550/arxiv.1210.2543 · pith_short_12: CRGO6WDICLWF · pith_short_16: CRGO6WDICLWF7U7X · pith_short_8: CRGO6WDI

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/CRGO6WDICLWF7U7XKBFM2H5SQZ \
  | 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: 144cef586812ec5fd3f7504acd1fb2867a39a361ab15063da88d24b2ed28da94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0d998adc65aa84ab6d332d00980040ae74bcbaa6963a413aceb7dc2de849e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-09T09:53:38Z",
    "title_canon_sha256": "7696b52edc09bd8cd705eb594fa98665dc84eaff005e0b15961abae0683860fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2543",
    "kind": "arxiv",
    "version": 1
  }
}