Pith Number

pith:WVCHKFOO

pith:2016:WVCHKFOOOLEMBHBTA3XEOZDUM3

not attested not anchored not stored refs pending

Sampling and Estimation for (Sparse) Exchangeable Graphs

Daniel M. Roy, Victor Veitch

arxiv:1611.00843 v1 · 2016-11-02 · math.ST · cs.SI · math.CO · 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{WVCHKFOOOLEMBHBTA3XEOZDUM3}

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.

Cited by

2 papers in Pith

A correction to Kallenberg's theorem for jointly exchangeable random measures

Limits of Sparse Configuration Models and Beyond: Graphexes and Multi-Graphexes

Receipt and verification

First computed	2026-05-18T01:00:18.538667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5447515ce72c8c09c3306ee47647466dfeef92c6e4b92e2f46b6835eb7f83c6

Aliases

arxiv: 1611.00843 · arxiv_version: 1611.00843v1 · doi: 10.48550/arxiv.1611.00843 · pith_short_12: WVCHKFOOOLEM · pith_short_16: WVCHKFOOOLEMBHBT · pith_short_8: WVCHKFOO

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/WVCHKFOOOLEMBHBTA3XEOZDUM3 \
  | 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: b5447515ce72c8c09c3306ee47647466dfeef92c6e4b92e2f46b6835eb7f83c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0baa4ebdde9058d20868244e29302f5498fae4a18129a747ebf7da0fe554be41",
    "cross_cats_sorted": [
      "cs.SI",
      "math.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-11-02T23:24:15Z",
    "title_canon_sha256": "fdb6311709d7410b4bb7a36caac3519ca373dbab360537f170a6cf18446f7183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.00843",
    "kind": "arxiv",
    "version": 1
  }
}