Pith Number

pith:3RMPVFEL

pith:1995:3RMPVFEL774RXNVYRSI6244Z7V

not attested not anchored not stored refs pending

The nil Hecke ring and singularity of Schubert varieties

Shrawan Kumar

arxiv:alg-geom/9503015 v1 · 1995-03-24 · alg-geom · 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{3RMPVFEL774RXNVYRSI6244Z7V}

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	2026-05-18T01:40:48.554856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc58fa948bfff91bb6b88c91ed7399fd47faa4fcb00fe085ce2ad37966b40565

Aliases

arxiv: alg-geom/9503015 · arxiv_version: alg-geom/9503015v1 · doi: 10.48550/arxiv.alg-geom/9503015 · pith_short_12: 3RMPVFEL774R · pith_short_16: 3RMPVFEL774RXNVY · pith_short_8: 3RMPVFEL

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/3RMPVFEL774RXNVYRSI6244Z7V \
  | 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: dc58fa948bfff91bb6b88c91ed7399fd47faa4fcb00fe085ce2ad37966b40565

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621f8a1407f3330af3d08a295bba92af07fb03d48aa3162f43e63dc287ed8d29",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1995-03-24T07:27:21Z",
    "title_canon_sha256": "caed67b30fd3f80fce001366fcbf14056a6ad845eabeae6d4c9b65e398d17ae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9503015",
    "kind": "arxiv",
    "version": 1
  }
}