Pith Number

pith:F47OR4OQ

pith:2013:F47OR4OQGN2O2ENBSYD6RO65MQ

not attested not anchored not stored refs pending

Convergence of Parareal for the Navier-Stokes equations depending on the Reynolds number

Daniel Ruprecht, Johannes Steiner, Robert Speck, Rolf Krause

arxiv:1311.4588 v2 · 2013-11-18 · math.NA · cs.DC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F47OR4OQGN2O2ENBSYD6RO65MQ}

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	2026-05-18T01:36:20.937633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f3ee8f1d03374ed11a19607e8bbdd643bd3bafd5b755f2c46504d307c84b402

Aliases

arxiv: 1311.4588 · arxiv_version: 1311.4588v2 · doi: 10.48550/arxiv.1311.4588 · pith_short_12: F47OR4OQGN2O · pith_short_16: F47OR4OQGN2O2ENB · pith_short_8: F47OR4OQ

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/F47OR4OQGN2O2ENBSYD6RO65MQ \
  | 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: 2f3ee8f1d03374ed11a19607e8bbdd643bd3bafd5b755f2c46504d307c84b402

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80a63c83ca1b9b5eee98966a115e83f0c5532d29e9b37c72cdd56f625a79604",
    "cross_cats_sorted": [
      "cs.DC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-11-18T23:17:20Z",
    "title_canon_sha256": "4e861dbf383cfb56688794f780de8b95a837a7a6701040ed10b76c67aa474497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4588",
    "kind": "arxiv",
    "version": 2
  }
}