Pith Number

pith:QWWKUR3K

pith:1998:QWWKUR3KHKIAL7HEPIPDBQEWU6

not attested not anchored not stored refs pending

Loop Grassmannian cohomology, the principal nilpotent and Kostant theorem

Victor Ginzburg

arxiv:math/9803141 v2 · 1998-03-30 · math.AG · math.DG · 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{QWWKUR3KHKIAL7HEPIPDBQEWU6}

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	2026-07-04T14:40:29.551236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85acaa476a3a9005fce47a1e30c096a7b0e4130ed5aff5d3ef5314dcc59a9acf

Aliases

arxiv: math/9803141 · arxiv_version: math/9803141v2 · doi: 10.48550/arxiv.math/9803141 · pith_short_12: QWWKUR3KHKIA · pith_short_16: QWWKUR3KHKIAL7HE · pith_short_8: QWWKUR3K

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/QWWKUR3KHKIAL7HEPIPDBQEWU6 \
  | 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: 85acaa476a3a9005fce47a1e30c096a7b0e4130ed5aff5d3ef5314dcc59a9acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2b50c75cb5281f536de7b98b43e0569495758a89a9182ee862686ef38d2b3c",
    "cross_cats_sorted": [
      "math.DG",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-03-30T03:56:14Z",
    "title_canon_sha256": "08186604ef26413779c9aee6d188737a381989678453b2f970cb5c0cdb1ce15b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9803141",
    "kind": "arxiv",
    "version": 2
  }
}