Pith Number

pith:P2P3Z44I

pith:2021:P2P3Z44IHA2JYZKXE4YTVQ2W2V

not attested not anchored not stored refs pending

Berry-Esseen bounds and almost sure CLT for the quadratic variation of a general Gaussian process

Ying Li, Yong Chen, Zhen Ding

arxiv:2106.01851 v2 · 2021-06-03 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2P3Z44IHA2JYZKXE4YTVQ2W2V}

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	2026-07-05T02:50:11.110787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e9fbcf38838349c655727313ac356d5664f6cfc91841a49a822d716fbb2847a

Aliases

arxiv: 2106.01851 · arxiv_version: 2106.01851v2 · doi: 10.48550/arxiv.2106.01851 · pith_short_12: P2P3Z44IHA2J · pith_short_16: P2P3Z44IHA2JYZKX · pith_short_8: P2P3Z44I

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/P2P3Z44IHA2JYZKXE4YTVQ2W2V \
  | 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: 7e9fbcf38838349c655727313ac356d5664f6cfc91841a49a822d716fbb2847a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428eb34d749487e045eda8439848bcf2326729429d71f8db6aff3bda1b0b25cd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-06-03T13:55:54Z",
    "title_canon_sha256": "76e67755e84f10bf840ae5fa95fcc111f4a550fc2b0cea8263d98f3a996af3f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.01851",
    "kind": "arxiv",
    "version": 2
  }
}