Pith Number

pith:CJLGKONP

pith:2011:CJLGKONP3FFWOUTDEFK7PSBZOO

not attested not anchored not stored refs pending

Backward error analysis and the substitution law for Lie group integrators

Alexander Lundervold, Hans Munthe-Kaas

arxiv:1106.1071 v2 · 2011-06-06 · 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{CJLGKONP3FFWOUTDEFK7PSBZOO}

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	2026-05-18T03:28:54.306257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12566539afd94b6752632155f7c83973adc735867f7219bb9ebe924491a31155

Aliases

arxiv: 1106.1071 · arxiv_version: 1106.1071v2 · doi: 10.48550/arxiv.1106.1071 · pith_short_12: CJLGKONP3FFW · pith_short_16: CJLGKONP3FFWOUTD · pith_short_8: CJLGKONP

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/CJLGKONP3FFWOUTDEFK7PSBZOO \
  | 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: 12566539afd94b6752632155f7c83973adc735867f7219bb9ebe924491a31155

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10dbff0a48620a8dee3ddb69a30cdd32e949c6740dfade5aa19d5ad2bc76117b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-06-06T14:03:40Z",
    "title_canon_sha256": "07eb5a82a215314706b6a8c36eca5885292b36dbe25f0328a5055a89defd814c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1071",
    "kind": "arxiv",
    "version": 2
  }
}