Pith Number

pith:MVZ6N7O7

pith:2018:MVZ6N7O7HU75LGVKSR6JGKC7FM

not attested not anchored not stored refs pending

Counting triangles in power-law uniform random graphs

Angus Southwell, Clara Stegehuis, Pu Gao, Remco van der Hofstad

arxiv:1812.04289 v1 · 2018-12-11 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVZ6N7O7HU75LGVKSR6JGKC7FM}

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	2026-05-17T23:58:32.698299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6573e6fddf3d3fd59aaa947c93285f2b3adec2fb8ada3a5942f1fee76f6b6fba

Aliases

arxiv: 1812.04289 · arxiv_version: 1812.04289v1 · doi: 10.48550/arxiv.1812.04289 · pith_short_12: MVZ6N7O7HU75 · pith_short_16: MVZ6N7O7HU75LGVK · pith_short_8: MVZ6N7O7

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/MVZ6N7O7HU75LGVKSR6JGKC7FM \
  | 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: 6573e6fddf3d3fd59aaa947c93285f2b3adec2fb8ada3a5942f1fee76f6b6fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a186e622113e0bde7e6c4a8ff7b1683d35258c12c1c8d1c0f91a1ef5f02250",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-11T09:30:26Z",
    "title_canon_sha256": "3a99e965dc8b377820fc8252c222b1841eacdd724bd763a2499d3e886eeed6ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04289",
    "kind": "arxiv",
    "version": 1
  }
}