Pith Number

pith:4FM3C3OO

pith:2019:4FM3C3OO74TD2JCE4HFD4F25AN

not attested not anchored not stored refs pending

The structure of graphs with given number of blocks and the maximum Wiener index

Fran\c{c}ois Dross, Katar\'ina Hri\v{n}\'akov\'a, Martin Knor, Riste \v{S}krekovski, St\'ephane Bessy

arxiv:1905.02633 v1 · 2019-05-07 · cs.DM · 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{4FM3C3OO74TD2JCE4HFD4F25AN}

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	2026-05-17T23:46:50.866841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e159b16dceff263d2444e1ca3e175d034c20d5d1c056ceff2121faf00b261c58

Aliases

arxiv: 1905.02633 · arxiv_version: 1905.02633v1 · doi: 10.48550/arxiv.1905.02633 · pith_short_12: 4FM3C3OO74TD · pith_short_16: 4FM3C3OO74TD2JCE · pith_short_8: 4FM3C3OO

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/4FM3C3OO74TD2JCE4HFD4F25AN \
  | 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: e159b16dceff263d2444e1ca3e175d034c20d5d1c056ceff2121faf00b261c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d0271290ad91aa69d54259263f53c79f31a9b8a6aa6a208c0b725b7ead56215",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2019-05-07T15:06:31Z",
    "title_canon_sha256": "30c50c5d42280a9e8622207ad64b6860b9cab7908956793d3275fce5b424d5a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02633",
    "kind": "arxiv",
    "version": 1
  }
}