Pith Number

pith:WWVKRYAE

pith:2011:WWVKRYAERRCDOR5PZ73AYLAO6K

not attested not anchored not stored refs pending

On the Wiener index and Laplacian coefficients of graphs with given diameter or radius

Aleksandar Ilic, Andreja Ilic, Dragan Stevanovic

arxiv:1105.5838 v1 · 2011-05-29 · 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{WWVKRYAERRCDOR5PZ73AYLAO6K}

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	2026-05-18T04:21:01.440455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5aaa8e0048c443747afcff60c2c0ef2bb7359739859e8264cae6dbb24dbd40b

Aliases

arxiv: 1105.5838 · arxiv_version: 1105.5838v1 · doi: 10.48550/arxiv.1105.5838 · pith_short_12: WWVKRYAERRCD · pith_short_16: WWVKRYAERRCDOR5P · pith_short_8: WWVKRYAE

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/WWVKRYAERRCDOR5PZ73AYLAO6K \
  | 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: b5aaa8e0048c443747afcff60c2c0ef2bb7359739859e8264cae6dbb24dbd40b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe55270d7dbe193538293fa56897c4b02ccac2798f10cc2c2ade5f10ad4894e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-29T23:21:54Z",
    "title_canon_sha256": "de0ec02ca06d75a6a0abb1c545f8536e2d01e348c4d0f61d61bcc30c243fc83f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5838",
    "kind": "arxiv",
    "version": 1
  }
}