Pith Number

pith:CBLN2KUZ

pith:2013:CBLN2KUZI5GTFBM4YYDW44DX3R

not attested not anchored not stored refs pending

The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence

V. V. Bavula

arxiv:1311.2284 v1 · 2013-11-10 · math.AG · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBLN2KUZI5GTFBM4YYDW44DX3R}

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	2026-05-18T03:07:33.055812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1056dd2a99474d32859cc6076e7077dc75508df36c8b03082e54401bd69e8b7f

Aliases

arxiv: 1311.2284 · arxiv_version: 1311.2284v1 · doi: 10.48550/arxiv.1311.2284 · pith_short_12: CBLN2KUZI5GT · pith_short_16: CBLN2KUZI5GTFBM4 · pith_short_8: CBLN2KUZ

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/CBLN2KUZI5GTFBM4YYDW44DX3R \
  | 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: 1056dd2a99474d32859cc6076e7077dc75508df36c8b03082e54401bd69e8b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33a1f3fb7887b83ae8ff4cc5d3304ced1171cdc14e56b9450ae38fd071ac2c1d",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-11-10T16:37:20Z",
    "title_canon_sha256": "72abe340d97ca75e983ae635871df4483096331bce67770f290285490b2d51fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2284",
    "kind": "arxiv",
    "version": 1
  }
}