Pith Number

pith:IZ7CE5RQ

pith:2011:IZ7CE5RQAXAVRVEWEB3BNPH2GC

not attested not anchored not stored refs pending

Optimized high-order splitting methods for some classes of parabolic equations

Ander Murua, Fernando Casas, Philippe Chartier, Sergio Blanes

arxiv:1102.1622 v2 · 2011-02-08 · 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{IZ7CE5RQAXAVRVEWEB3BNPH2GC}

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	2026-05-18T02:19:17.169905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467e22763005c158d496207616bcfa30ad2ffc74be3ebe76bc47c74cb3da770d

Aliases

arxiv: 1102.1622 · arxiv_version: 1102.1622v2 · doi: 10.48550/arxiv.1102.1622 · pith_short_12: IZ7CE5RQAXAV · pith_short_16: IZ7CE5RQAXAVRVEW · pith_short_8: IZ7CE5RQ

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/IZ7CE5RQAXAVRVEWEB3BNPH2GC \
  | 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: 467e22763005c158d496207616bcfa30ad2ffc74be3ebe76bc47c74cb3da770d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd85bb43176189701b8210b5bb822b4ec7dffbe0814d18f4b844e5c1b934fc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-02-08T15:07:43Z",
    "title_canon_sha256": "28eda55ee7ee27c856404c7ddcc813fb806118c16a848b8f6bd12c449e43722a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1622",
    "kind": "arxiv",
    "version": 2
  }
}