Pith Number

pith:SZ53IAV5

pith:2021:SZ53IAV5SFF4DBKTLF5FLLIQV6

not attested not anchored not stored refs pending

Limiting distributions of graph-based test statistics on sparse and dense graphs

Hao Chen, Yejiong Zhu

arxiv:2108.07446 v4 · 2021-08-17 · math.ST · stat.ME · 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{SZ53IAV5SFF4DBKTLF5FLLIQV6}

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

1 paper in Pith

High-Dimensional Clustering via Nearest-Neighbor Asymmetry

Receipt and verification

First computed	2026-07-05T07:11:49.939173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967bb402bd914bc18553597a55ad10af817e1d065b2c05d379dcf658136b99a1

Aliases

arxiv: 2108.07446 · arxiv_version: 2108.07446v4 · doi: 10.48550/arxiv.2108.07446 · pith_short_12: SZ53IAV5SFF4 · pith_short_16: SZ53IAV5SFF4DBKT · pith_short_8: SZ53IAV5

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/SZ53IAV5SFF4DBKTLF5FLLIQV6 \
  | 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: 967bb402bd914bc18553597a55ad10af817e1d065b2c05d379dcf658136b99a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a39eb65e4bb41d2e1a1d435e93d355e39358c97bc6e816a9b8ce28b57825bf",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-08-17T04:49:52Z",
    "title_canon_sha256": "68ebacc76fb660c33efb2002b50f3ea9c33d6b615f34373eab606e197c175905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07446",
    "kind": "arxiv",
    "version": 4
  }
}