Pith Number

pith:L53XZS4K

pith:2014:L53XZS4KRMCPFGVH2FYATY32MF

not attested not anchored not stored refs pending

The Lie group structure of the Butcher group

Alexander Schmeding, Geir Bogfjellmo

arxiv:1410.4761 v3 · 2014-10-17 · math.GR · 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{L53XZS4KRMCPFGVH2FYATY32MF}

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	2026-05-18T00:50:40.647674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f777ccb8a8b04f29aa7d17009e37a6146290e3595c644c9819b85b7849238fb

Aliases

arxiv: 1410.4761 · arxiv_version: 1410.4761v3 · doi: 10.48550/arxiv.1410.4761 · pith_short_12: L53XZS4KRMCP · pith_short_16: L53XZS4KRMCPFGVH · pith_short_8: L53XZS4K

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/L53XZS4KRMCPFGVH2FYATY32MF \
  | 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: 5f777ccb8a8b04f29aa7d17009e37a6146290e3595c644c9819b85b7849238fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3da01057b1d997548f591634a1f020cdb0c55295504e754191ac5cc42899153",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-17T15:34:16Z",
    "title_canon_sha256": "75ef4a46f43074a9b7f1437c761ba1ed04d5c77a4775bc59bb3a18ec920e353e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4761",
    "kind": "arxiv",
    "version": 3
  }
}