Pith Number

pith:NMXZUHIL

pith:2012:NMXZUHILRVMBKPP7STPXJ7WNBT

not attested not anchored not stored refs pending

On post-Lie algebras, Lie--Butcher series and moving frames

Alexander Lundervold, Hans Munthe-Kaas

arxiv:1203.4738 v3 · 2012-03-21 · math.NA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMXZUHILRVMBKPP7STPXJ7WNBT}

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	2026-05-18T01:26:19.301567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b2f9a1d0b8d58153dff94df74fecd0cd9cb52ccdd39099ccdde5814b6af73f0

Aliases

arxiv: 1203.4738 · arxiv_version: 1203.4738v3 · doi: 10.48550/arxiv.1203.4738 · pith_short_12: NMXZUHILRVMB · pith_short_16: NMXZUHILRVMBKPP7 · pith_short_8: NMXZUHIL

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/NMXZUHILRVMBKPP7STPXJ7WNBT \
  | 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: 6b2f9a1d0b8d58153dff94df74fecd0cd9cb52ccdd39099ccdde5814b6af73f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a48bd6592fbaf97dd29b0201a683d3ac2c2dec69a5557a4eeda76f0346f4ccb",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-03-21T14:03:30Z",
    "title_canon_sha256": "17c6a6fad55307b515048c76152ba92c26ab833724c0c083e08a64d7aa2fef27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4738",
    "kind": "arxiv",
    "version": 3
  }
}