Pith Number

pith:XZTI5PSL

pith:2013:XZTI5PSLGSLVS5Y5WGDVPPSZHD

not attested not anchored not stored refs pending

The group of automorphisms of the Lie algebra of derivations of a field of rational functions

V. V. Bavula

arxiv:1304.4225 v1 · 2013-04-15 · math.RA · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZTI5PSLGSLVS5Y5WGDVPPSZHD}

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	2026-05-18T03:27:53.628068Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be668ebe4b349759771db18757be5938dec4bf8e3442f29f6f8f4a0be23efea0

Aliases

arxiv: 1304.4225 · arxiv_version: 1304.4225v1 · doi: 10.48550/arxiv.1304.4225 · pith_short_12: XZTI5PSLGSLV · pith_short_16: XZTI5PSLGSLVS5Y5 · pith_short_8: XZTI5PSL

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/XZTI5PSLGSLVS5Y5WGDVPPSZHD \
  | 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: be668ebe4b349759771db18757be5938dec4bf8e3442f29f6f8f4a0be23efea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697b966df6c749420810c2c53948260cd85da339698a6bbdecd4fad355dc7049",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-15T18:00:42Z",
    "title_canon_sha256": "f1a364a31dde3bfa27b48216e4ae29b6a920297b35380b4710f3b0946d1367d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.4225",
    "kind": "arxiv",
    "version": 1
  }
}