Pith Number

pith:U5USNNR2

pith:2011:U5USNNR2RBEOLKNL6BHOUG7ZJK

not attested not anchored not stored refs pending

Symmetric Partitioned Runge-Kutta Methods for Differential Equations on Lie Groups

Francesco Knechtli, Michael G\"unther, Michael Striebel, Mich\`ele Wandelt

arxiv:1109.3030 v1 · 2011-09-14 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5USNNR2RBEOLKNL6BHOUG7ZJK}

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	2026-05-18T04:13:06.453790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a76926b63a8848e5a9abf04eea1bf94ab955f0b251608097341bf05b6eee4d7a

Aliases

arxiv: 1109.3030 · arxiv_version: 1109.3030v1 · doi: 10.48550/arxiv.1109.3030 · pith_short_12: U5USNNR2RBEO · pith_short_16: U5USNNR2RBEOLKNL · pith_short_8: U5USNNR2

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/U5USNNR2RBEOLKNL6BHOUG7ZJK \
  | 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: a76926b63a8848e5a9abf04eea1bf94ab955f0b251608097341bf05b6eee4d7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae9212b7d3ab2a5b9b48684f239db5cb852c9af726ee228c8955dd4819bafef3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2011-09-14T09:22:42Z",
    "title_canon_sha256": "a622917f04cba6adbed5e6b1e065c448efc07de2891179282cb75fc340316e95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3030",
    "kind": "arxiv",
    "version": 1
  }
}