Pith Number

pith:WMHEAXDY

pith:2019:WMHEAXDY5LQ5T3TBFLETFNEGLG

not attested not anchored not stored refs pending

Wiener index and Harary index on pancyclic graphs

Hongye Song, Huicai Jia

arxiv:1906.06814 v1 · 2019-06-17 · 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{WMHEAXDY5LQ5T3TBFLETFNEGLG}

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	2026-05-17T23:43:12.578614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30e405c78eae1d9ee612ac932b48659af5451ec2c4f2e1b0ff3125f00d37709

Aliases

arxiv: 1906.06814 · arxiv_version: 1906.06814v1 · doi: 10.48550/arxiv.1906.06814 · pith_short_12: WMHEAXDY5LQ5 · pith_short_16: WMHEAXDY5LQ5T3TB · pith_short_8: WMHEAXDY

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/WMHEAXDY5LQ5T3TBFLETFNEGLG \
  | 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: b30e405c78eae1d9ee612ac932b48659af5451ec2c4f2e1b0ff3125f00d37709

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab98a2b88ac9a41391181ca394df1c38e18e5706f97a36a800c6609c80c13c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-17T01:45:10Z",
    "title_canon_sha256": "b3be48c8c28f8004f0df3a2f9acbb5edba962b180ac62eee32bc04db5bbd7e3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06814",
    "kind": "arxiv",
    "version": 1
  }
}