Pith Number

pith:7F77QNJO

pith:2012:7F77QNJO4GOZGUHLF322CYLCCF

not attested not anchored not stored refs pending

The (revised) Szeged index and the Wiener index of a nonbipartite graph

Lily Chen, Mengmeng Liu, Xueliang Li

arxiv:1211.5457 v2 · 2012-11-23 · 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{7F77QNJO4GOZGUHLF322CYLCCF}

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	2026-05-18T03:38:57.203651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f97ff8352ee19d9350eb2ef5a16162116cf827528fe60efee487f0d2480b012a

Aliases

arxiv: 1211.5457 · arxiv_version: 1211.5457v2 · doi: 10.48550/arxiv.1211.5457 · pith_short_12: 7F77QNJO4GOZ · pith_short_16: 7F77QNJO4GOZGUHL · pith_short_8: 7F77QNJO

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/7F77QNJO4GOZGUHLF322CYLCCF \
  | 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: f97ff8352ee19d9350eb2ef5a16162116cf827528fe60efee487f0d2480b012a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1f5492f71492893ca602fd6459f129e38f9a256a6f0833c1c38e68b4186cd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-23T10:08:03Z",
    "title_canon_sha256": "2d936f381bd791fa0647ebe7bb91565f006520193d58920f21ac145d2ae7b64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5457",
    "kind": "arxiv",
    "version": 2
  }
}