Pith Number

pith:WWCX6TQY

pith:2017:WWCX6TQYZZ55YGOO3FOMCSA4LJ

not attested not anchored not stored refs pending

Asymptotic Normality of Extensible Grid Sampling

Lingjiong Zhu, Zhijian He

arxiv:1705.03181 v1 · 2017-05-09 · math.NA · 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{WWCX6TQYZZ55YGOO3FOMCSA4LJ}

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	2026-05-17T23:51:34.632715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5857f4e18ce7bdc19ced95cc1481c5a4d725ed09cae6890221908d2316690ec

Aliases

arxiv: 1705.03181 · arxiv_version: 1705.03181v1 · doi: 10.48550/arxiv.1705.03181 · pith_short_12: WWCX6TQYZZ55 · pith_short_16: WWCX6TQYZZ55YGOO · pith_short_8: WWCX6TQY

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/WWCX6TQYZZ55YGOO3FOMCSA4LJ \
  | 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: b5857f4e18ce7bdc19ced95cc1481c5a4d725ed09cae6890221908d2316690ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09ada63b9ec582db5b90beed178e980ff9182a81da2ccb0729efb87cda4e48c",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-05-09T05:26:57Z",
    "title_canon_sha256": "cd93ce1dec31d9e9da0461ca42f97b7bf2e6edd93fc689df9baf2e6d7c34c595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03181",
    "kind": "arxiv",
    "version": 1
  }
}