Pith Number

pith:FL7OTIAT

pith:2018:FL7OTIATO7XFLEPDRMJAKR3A6L

not attested not anchored not stored refs pending

Formula for calculating the Wiener polarity index with applications to benzenoid graphs and phenylenes

Niko Tratnik

arxiv:1801.05963 v2 · 2018-01-18 · 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{FL7OTIATO7XFLEPDRMJAKR3A6L}

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	2026-05-17T23:49:11.946746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2afee9a01377ee5591e38b12054760f2f2851f36ddc79e4a7be5c395448be94b

Aliases

arxiv: 1801.05963 · arxiv_version: 1801.05963v2 · doi: 10.48550/arxiv.1801.05963 · pith_short_12: FL7OTIATO7XF · pith_short_16: FL7OTIATO7XFLEPD · pith_short_8: FL7OTIAT

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/FL7OTIATO7XFLEPDRMJAKR3A6L \
  | 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: 2afee9a01377ee5591e38b12054760f2f2851f36ddc79e4a7be5c395448be94b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bb39c9987fd0afa85cde6e6ce1a385909d237fcd736230d89015d7a8cb2c5a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-18T08:00:41Z",
    "title_canon_sha256": "09968c9f959a8ad2f8f51415816f97495a5b3d771809ebfd9c6e98e602934076"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05963",
    "kind": "arxiv",
    "version": 2
  }
}