Pith Number

pith:LF452LHG

pith:2016:LF452LHGWY3KPB2KJNRVDEHHBY

not attested not anchored not stored refs pending

Edge-exchangeable graphs and sparsity

Diana Cai, Tamara Broderick

arxiv:1603.06898 v1 · 2016-03-22 · math.ST · stat.ME · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LF452LHGWY3KPB2KJNRVDEHHBY}

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	2026-05-18T01:18:34.475228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5979dd2ce6b636a7874a4b635190e70e13f0ed280e733e2ab4db6b267b5ade70

Aliases

arxiv: 1603.06898 · arxiv_version: 1603.06898v1 · doi: 10.48550/arxiv.1603.06898 · pith_short_12: LF452LHGWY3K · pith_short_16: LF452LHGWY3KPB2K · pith_short_8: LF452LHG

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/LF452LHGWY3KPB2KJNRVDEHHBY \
  | 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: 5979dd2ce6b636a7874a4b635190e70e13f0ed280e733e2ab4db6b267b5ade70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d01e445d8a0835eb5f6dc350513ae7237cf0605fe0853136858f8d582923d51",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-03-22T18:28:09Z",
    "title_canon_sha256": "3be2f6a50cface3b9d8e1bbe48ff3965d67cc13c150de2e6d1be3c9498353e00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06898",
    "kind": "arxiv",
    "version": 1
  }
}