Pith Number

pith:U3FCBAI3

pith:2022:U3FCBAI3YIJUQXKTVLRH6TNVKY

not attested not anchored not stored refs pending

Central limit theorems for nonlinear stochastic wave equations in dimension three

Masahisa Ebina

arxiv:2206.12957 v2 · 2022-06-26 · 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{U3FCBAI3YIJUQXKTVLRH6TNVKY}

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	2026-07-05T09:58:15.306811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ca20811bc213485d53aae27f4db556053649aae78dc1ec4b3b058563734e0f

Aliases

arxiv: 2206.12957 · arxiv_version: 2206.12957v2 · doi: 10.48550/arxiv.2206.12957 · pith_short_12: U3FCBAI3YIJU · pith_short_16: U3FCBAI3YIJUQXKT · pith_short_8: U3FCBAI3

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/U3FCBAI3YIJUQXKTVLRH6TNVKY \
  | 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: a6ca20811bc213485d53aae27f4db556053649aae78dc1ec4b3b058563734e0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a47434c8cb6c62fed9348fa1284b9251e002973747da71a30353d15179cad383",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-06-26T20:08:24Z",
    "title_canon_sha256": "bcd779b87cbcd295d660e669abbce4b6cd1d3e8e95f88de2d097242d277001b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.12957",
    "kind": "arxiv",
    "version": 2
  }
}