Pith Number

pith:DWKSGLWI

pith:2010:DWKSGLWIUDSESNVFA6CWQCAY4J

not attested not anchored not stored refs pending

The missing log in large deviations for triangle counts

Sourav Chatterjee

arxiv:1003.3498 v3 · 2010-03-18 · math.PR · 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{DWKSGLWIUDSESNVFA6CWQCAY4J}

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	2026-05-18T04:24:36.321531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d95232ec8a0e44936a50785680818e27e045c2981fc599531a554ddd7d78f72

Aliases

arxiv: 1003.3498 · arxiv_version: 1003.3498v3 · doi: 10.48550/arxiv.1003.3498 · pith_short_12: DWKSGLWIUDSE · pith_short_16: DWKSGLWIUDSESNVF · pith_short_8: DWKSGLWI

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/DWKSGLWIUDSESNVFA6CWQCAY4J \
  | 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: 1d95232ec8a0e44936a50785680818e27e045c2981fc599531a554ddd7d78f72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4134764aa6bf4e815a5efd2b78d9c96c440c7040327b9267ea68cbb45150ffe7",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-18T00:28:22Z",
    "title_canon_sha256": "39d2b82155c3dccfc9532c773c91799fb2f40f406a3b961f9196755f4f9287fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3498",
    "kind": "arxiv",
    "version": 3
  }
}