Pith Number

pith:R77UXCPI

pith:2017:R77UXCPIL6A7WQAVQJMK2BSZRV

not attested not anchored not stored refs pending

The Edge-Wiener Index, the Szeged Indices and the PI Index of Benzenoid Systems in Sub-Linear Time

Matev\v{z} \v{C}repnjak, Niko Tratnik

arxiv:1705.02841 v1 · 2017-05-08 · 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{R77UXCPIL6A7WQAVQJMK2BSZRV}

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	2026-05-18T00:07:18.675633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fff4b89e85f81fb40158258ad06598d7730c17e03b346698473e3d3fb498697

Aliases

arxiv: 1705.02841 · arxiv_version: 1705.02841v1 · doi: 10.48550/arxiv.1705.02841 · pith_short_12: R77UXCPIL6A7 · pith_short_16: R77UXCPIL6A7WQAV · pith_short_8: R77UXCPI

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/R77UXCPIL6A7WQAVQJMK2BSZRV \
  | 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: 8fff4b89e85f81fb40158258ad06598d7730c17e03b346698473e3d3fb498697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae100734201ec380ae640dec92dc73b14f0d75a38462ecfb844c90e5044e9c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-08T12:07:34Z",
    "title_canon_sha256": "1f1700cbbe224f74ea26416f73c147b30ce03b95bf4333fa0eb102961fa7c668"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.02841",
    "kind": "arxiv",
    "version": 1
  }
}