Pith Number

pith:CKMM5JWV

pith:2010:CKMM5JWV5NFSQ4ZK7KXF3M7O2T

not attested not anchored not stored refs pending

Operator splitting for non-autonomous evolution equations

Andr\'as B\'atkai, B\'alint Farkas, Gregor Nickel, Petra Csom\'os

arxiv:1002.0164 v4 · 2010-01-31 · math.FA · 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{CKMM5JWV5NFSQ4ZK7KXF3M7O2T}

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	2026-05-18T04:38:59.252922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1298cea6d5eb4b28732afaae5db3eed4eaa36a4a92c85bcb046c091614b69394

Aliases

arxiv: 1002.0164 · arxiv_version: 1002.0164v4 · doi: 10.48550/arxiv.1002.0164 · pith_short_12: CKMM5JWV5NFS · pith_short_16: CKMM5JWV5NFSQ4ZK · pith_short_8: CKMM5JWV

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/CKMM5JWV5NFSQ4ZK7KXF3M7O2T \
  | 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: 1298cea6d5eb4b28732afaae5db3eed4eaa36a4a92c85bcb046c091614b69394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cae081a74c80a8904328d996225067f3746e4cfca3e7f5593c4bfef2af4f52d",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-01-31T23:40:32Z",
    "title_canon_sha256": "af96a7819005210d84a5c9ae28bd085ab13e54a3b923fb78c2f74d94ee64883f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0164",
    "kind": "arxiv",
    "version": 4
  }
}