Pith Number

pith:MVQV4J5U

pith:2026:MVQV4J5UEIIHKBNARIK4YBITVH

not attested not anchored not stored refs pending

The Lie algebra of polynomial vector fields on the affine space with constant divergence is $1.5$-generated

Gleb Pogudin, Ivan Beldiev

arxiv:2608.13798 v1 · 2026-08-13 · 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{MVQV4J5UEIIHKBNARIK4YBITVH}

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	2026-08-17T01:11:09.841046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65615e27b422107505a08a15cc0513a9e7d2945e6edac26ecb46a19f5d4add42

Aliases

arxiv: 2608.13798 · arxiv_version: 2608.13798v1 · doi: 10.48550/arxiv.2608.13798 · pith_short_12: MVQV4J5UEIIH · pith_short_16: MVQV4J5UEIIHKBNA · pith_short_8: MVQV4J5U

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/MVQV4J5UEIIHKBNARIK4YBITVH \
  | 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: 65615e27b422107505a08a15cc0513a9e7d2945e6edac26ecb46a19f5d4add42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d0ce17695092f48fc9d33ed23f0062ce9e892e68067ab88c635415b27519f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-08-13T22:05:46Z",
    "title_canon_sha256": "6e0bee897b928115c05d87ac41b4e2e1229c0ad8f8ec6911e58a857fe606a293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13798",
    "kind": "arxiv",
    "version": 1
  }
}