Pith Number

pith:4A76XAPU

pith:2018:4A76XAPUISHHGC75XRGMYN27OT

not attested not anchored not stored refs pending

Wiener index and Steiner 3-Wiener index of a graph

Ambat Vijayakumar, Matja\v{z} Kov\v{s}e, Rasila V A

arxiv:1809.10767 v1 · 2018-09-27 · 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{4A76XAPUISHHGC75XRGMYN27OT}

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	2026-05-18T00:04:35.148927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03feb81f4448e730bfdbc4ccc375f74d3ecee5c1565bc5197333b2d982fdfca

Aliases

arxiv: 1809.10767 · arxiv_version: 1809.10767v1 · doi: 10.48550/arxiv.1809.10767 · pith_short_12: 4A76XAPUISHH · pith_short_16: 4A76XAPUISHHGC75 · pith_short_8: 4A76XAPU

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/4A76XAPUISHHGC75XRGMYN27OT \
  | 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: e03feb81f4448e730bfdbc4ccc375f74d3ecee5c1565bc5197333b2d982fdfca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1378b0c70d780d21306f130ec5efb8975559924e7a924366b288914c14e3b917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-27T21:05:44Z",
    "title_canon_sha256": "fdb52805a05c98ca9ef1430eb8ab4b1638af68b1f5971a8cd3ddd1cdf1ec7939"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10767",
    "kind": "arxiv",
    "version": 1
  }
}