Pith Number

pith:Y3QFSHNE

pith:2016:Y3QFSHNEMS7MLAOEMT3AKEZ4TY

not attested not anchored not stored refs pending

Crank-Nicolson finite element approximations for a linear stochastic fourth order equation with additive space-time white noise

Georgios E. Zouraris

arxiv:1607.05206 v1 · 2016-07-18 · 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{Y3QFSHNEMS7MLAOEMT3AKEZ4TY}

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	2026-05-18T01:10:55.659860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e0591da464bec581c464f605133c9e32e2c912df9e543b9746a90f341d9d9f

Aliases

arxiv: 1607.05206 · arxiv_version: 1607.05206v1 · doi: 10.48550/arxiv.1607.05206 · pith_short_12: Y3QFSHNEMS7M · pith_short_16: Y3QFSHNEMS7MLAOE · pith_short_8: Y3QFSHNE

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/Y3QFSHNEMS7MLAOEMT3AKEZ4TY \
  | 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: c6e0591da464bec581c464f605133c9e32e2c912df9e543b9746a90f341d9d9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db110fc6a327a4d6ec3d1c19f5e5069854bb0a51427fa5ffc5fd5975c6a4e478",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-07-18T17:24:09Z",
    "title_canon_sha256": "4f9a24db0cce3b9c98b49f16fa478df8041d0bf3aeda55e2c873f8f4d6205d3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05206",
    "kind": "arxiv",
    "version": 1
  }
}