Pith Number

pith:YMZAJUBM

pith:2017:YMZAJUBMMMN4IOMXFNRYFALJVG

not attested not anchored not stored refs pending

Representations of Lie algebras of vector fields on affine varieties

Jonathan Nilsson, Vyacheslav Futorny, Yuly Billig

arxiv:1709.08863 v1 · 2017-09-26 · 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{YMZAJUBMMMN4IOMXFNRYFALJVG}

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	2026-05-18T00:34:21.693608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c33204d02c631bc439972b63828169a98e03927f9d6290bfdd4f762a22ba3548

Aliases

arxiv: 1709.08863 · arxiv_version: 1709.08863v1 · doi: 10.48550/arxiv.1709.08863 · pith_short_12: YMZAJUBMMMN4 · pith_short_16: YMZAJUBMMMN4IOMX · pith_short_8: YMZAJUBM

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/YMZAJUBMMMN4IOMXFNRYFALJVG \
  | 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: c33204d02c631bc439972b63828169a98e03927f9d6290bfdd4f762a22ba3548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f196694be725c1c67769cb185381f8eb7c19d407429f09482992ff1c8e44bbc1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-09-26T07:02:33Z",
    "title_canon_sha256": "c144434297d5d42e0a882eeddd8b417b3bd206767cfc8a0fe23c480500185d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08863",
    "kind": "arxiv",
    "version": 1
  }
}