Pith Number

pith:4KFRKDWR

pith:2017:4KFRKDWRTSJ6IXBFEWCXELF4MV

not attested not anchored not stored refs pending

Lie algebras of vector fields on smooth affine varieties

Vyacheslav Futorny, Yuly Billig

arxiv:1705.05900 v3 · 2017-05-16 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KFRKDWRTSJ6IXBFEWCXELF4MV}

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	2026-05-18T00:29:46.049574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e28b150ed19c93e45c252585722cbc657db0ffc53fe8c4822b0f26b66032976a

Aliases

arxiv: 1705.05900 · arxiv_version: 1705.05900v3 · doi: 10.48550/arxiv.1705.05900 · pith_short_12: 4KFRKDWRTSJ6 · pith_short_16: 4KFRKDWRTSJ6IXBF · pith_short_8: 4KFRKDWR

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/4KFRKDWRTSJ6IXBFEWCXELF4MV \
  | 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: e28b150ed19c93e45c252585722cbc657db0ffc53fe8c4822b0f26b66032976a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7489d8d48b2c6e52ea32c3f4c82805e81348b005de91f4fba571dd991576572c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-05-16T20:12:59Z",
    "title_canon_sha256": "f3b95fd3ec90dbb556fca52608992abee50c5c135553e25cdbe66fa9b9348a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05900",
    "kind": "arxiv",
    "version": 3
  }
}