Pith Number

pith:2USRN4JQ

pith:2015:2USRN4JQQVQUT7W3HUM3IYG5TG

not attested not anchored not stored refs pending

Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noises

Xiaobing Feng, Yi Zhang, Yukun Li

arxiv:1505.03913 v1 · 2015-05-14 · 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{2USRN4JQQVQUT7W3HUM3IYG5TG}

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	2026-05-18T02:09:40.745138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d52516f130856149fedb3d19b460dd999d11b511b1f3459caadbddcfbb69754b

Aliases

arxiv: 1505.03913 · arxiv_version: 1505.03913v1 · doi: 10.48550/arxiv.1505.03913 · pith_short_12: 2USRN4JQQVQU · pith_short_16: 2USRN4JQQVQUT7W3 · pith_short_8: 2USRN4JQ

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/2USRN4JQQVQUT7W3HUM3IYG5TG \
  | 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: d52516f130856149fedb3d19b460dd999d11b511b1f3459caadbddcfbb69754b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4c110a02ec49a42cb9d5776f5146cebeb40d4d1c235a2f72f2f81bffb210710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-05-14T22:57:26Z",
    "title_canon_sha256": "223685b9c73db1419c66930bd6430501e26909b1eade8b7e906e7bbbdf58fc89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03913",
    "kind": "arxiv",
    "version": 1
  }
}