Pith Number

pith:Z7EA7WDR

pith:2022:Z7EA7WDRBLWAQGSTXX7BVA3LLK

not attested not anchored not stored refs pending

Asymptotic theory in network models with covariates and a growing number of node parameters

Qiuping Wang, Ting Yan, Yuan Zhang

arxiv:2207.09861 v1 · 2022-07-20 · math.ST · 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{Z7EA7WDRBLWAQGSTXX7BVA3LLK}

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	2026-07-05T04:42:02.593678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc80fd8710aec081a53bdfe1a836b5aaeffcfbbe6ed562b025d4c4cb2bfa938

Aliases

arxiv: 2207.09861 · arxiv_version: 2207.09861v1 · doi: 10.48550/arxiv.2207.09861 · pith_short_12: Z7EA7WDRBLWA · pith_short_16: Z7EA7WDRBLWAQGST · pith_short_8: Z7EA7WDR

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/Z7EA7WDRBLWAQGSTXX7BVA3LLK \
  | 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: cfc80fd8710aec081a53bdfe1a836b5aaeffcfbbe6ed562b025d4c4cb2bfa938

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e92ee02238ca5488e9582b9498d8f75e2047a34ab1343c2d2f89f13d7c4a2d08",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-07-20T12:52:03Z",
    "title_canon_sha256": "7e4fc39ede46ce65abb88798cbf49c629b626b5e7764a1f83f0b756af0917069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.09861",
    "kind": "arxiv",
    "version": 1
  }
}