Pith Number

pith:NGZ544RK

pith:2019:NGZ544RKMFDD2YIW3YPWILZSLY

not attested not anchored not stored refs pending

Convergence rate for Galerkin approximation of the stochastic Allen-Cahn equations on 2D torus

Rongchan Zhu, Ting Ma

arxiv:1908.09331 v1 · 2019-08-25 · math.PR · cs.NA · math.AP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGZ544RKMFDD2YIW3YPWILZSLY}

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	2026-07-04T23:59:39.215824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b3de722a61463d6116de1f642f325e370cb9f3b533f55888edb6e8a449247b

Aliases

arxiv: 1908.09331 · arxiv_version: 1908.09331v1 · doi: 10.48550/arxiv.1908.09331 · pith_short_12: NGZ544RKMFDD · pith_short_16: NGZ544RKMFDD2YIW · pith_short_8: NGZ544RK

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/NGZ544RKMFDD2YIW3YPWILZSLY \
  | 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: 69b3de722a61463d6116de1f642f325e370cb9f3b533f55888edb6e8a449247b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6036914669958ea20ae31141722c53737ca4090e4f9671a9f6929d6f48bef2",
    "cross_cats_sorted": [
      "cs.NA",
      "math.AP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-25T14:03:16Z",
    "title_canon_sha256": "ddcc6c2d8b930bb30f4b11cf0e67ae87633b0138464b71bb4b009901129184e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09331",
    "kind": "arxiv",
    "version": 1
  }
}