Pith Number

pith:TSTVRMFP

pith:2020:TSTVRMFP764YF7L66YRPV4IUDZ

not attested not anchored not stored refs pending

Central limit theorems for stochastic wave equations in dimensions one and two

David Nualart, Guangqu Zheng

arxiv:2005.13587 v1 · 2020-05-27 · 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{TSTVRMFP764YF7L66YRPV4IUDZ}

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	2026-07-05T03:06:10.956222Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ca758b0afffb982fd7ef622faf1141e633f6f41e3a6d2c7ab69e9efac2e13dc

Aliases

arxiv: 2005.13587 · arxiv_version: 2005.13587v1 · doi: 10.48550/arxiv.2005.13587 · pith_short_12: TSTVRMFP764Y · pith_short_16: TSTVRMFP764YF7L6 · pith_short_8: TSTVRMFP

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/TSTVRMFP764YF7L66YRPV4IUDZ \
  | 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: 9ca758b0afffb982fd7ef622faf1141e633f6f41e3a6d2c7ab69e9efac2e13dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0718845c0cf3a83dd093fd84b4f56ba14175390704d0c9bcf226d6f202caa7eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-05-27T18:36:11Z",
    "title_canon_sha256": "dc5a641fcd3ab372cc33d2131f7e077f0a976e4a945c36377ccada63d48b92e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.13587",
    "kind": "arxiv",
    "version": 1
  }
}