Pith Number

pith:LUGRPV7H

pith:2011:LUGRPV7HOKETXWYC2RM2BQBLXX

not attested not anchored not stored refs pending

An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module

Martin Schlichenmaier

arxiv:1111.6625 v4 · 2011-11-28 · math.RA · math-ph · math.MP · math.QA · 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{LUGRPV7HOKETXWYC2RM2BQBLXX}

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	2026-05-18T03:56:10.501999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d0d17d7e772893bdb02d459a0c02bbdde66e0566ca4c5abfeb94b13d99f55f8

Aliases

arxiv: 1111.6625 · arxiv_version: 1111.6625v4 · doi: 10.48550/arxiv.1111.6625 · pith_short_12: LUGRPV7HOKET · pith_short_16: LUGRPV7HOKETXWYC · pith_short_8: LUGRPV7H

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/LUGRPV7HOKETXWYC2RM2BQBLXX \
  | 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: 5d0d17d7e772893bdb02d459a0c02bbdde66e0566ca4c5abfeb94b13d99f55f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e628a46e0ff3be7daad89ac0fb27f0d449c3385fc7aa6c373550b8f326c4ed1b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-11-28T21:48:14Z",
    "title_canon_sha256": "0ef43f008952062623f536c428a250539f8b4737576584f543f5a090706e9379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6625",
    "kind": "arxiv",
    "version": 4
  }
}