Pith Number

pith:Q7HO26XX

pith:2017:Q7HO26XXCR4H2ZDPZAIG5U5MJL

not attested not anchored not stored refs pending

The Edge-Wiener Index and the Edge-Hyper-Wiener Index of Phenylenes

Petra \v{Z}igert Pleter\v{s}ek

arxiv:1712.06819 v1 · 2017-12-19 · 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{Q7HO26XXCR4H2ZDPZAIG5U5MJL}

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	2026-05-18T00:27:40.324629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87ceed7af714787d646fc8106ed3ac4afbc6fec2ee3a61a07eec75a0cdff6493

Aliases

arxiv: 1712.06819 · arxiv_version: 1712.06819v1 · doi: 10.48550/arxiv.1712.06819 · pith_short_12: Q7HO26XXCR4H · pith_short_16: Q7HO26XXCR4H2ZDP · pith_short_8: Q7HO26XX

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/Q7HO26XXCR4H2ZDPZAIG5U5MJL \
  | 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: 87ceed7af714787d646fc8106ed3ac4afbc6fec2ee3a61a07eec75a0cdff6493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "153d8521296d927cea7bf259bd4c1ac28e3fe8f6f2b5998fd09fa0e06f1f178d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-19T08:36:43Z",
    "title_canon_sha256": "ed8e9e1494145572eace80fe696c07875ea486cae0894a1abdf11dedded91409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.06819",
    "kind": "arxiv",
    "version": 1
  }
}