Pith Number

pith:NVY3JPID

pith:2010:NVY3JPIDYLMOLTWKUY5GOE27DY

not attested not anchored not stored refs pending

A problem of Kollar and Larsen on finite linear groups and crepant resolutions

Pham Huu Tiep, Robert Guralnick

arxiv:1009.2535 v1 · 2010-09-13 · math.GR · math.AG · 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{NVY3JPIDYLMOLTWKUY5GOE27DY}

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	2026-05-18T04:40:56.894144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d71b4bd03c2d8e5cecaa63a67135f1e178956b8243e81547aa7312c8fea1ed2

Aliases

arxiv: 1009.2535 · arxiv_version: 1009.2535v1 · doi: 10.48550/arxiv.1009.2535 · pith_short_12: NVY3JPIDYLMO · pith_short_16: NVY3JPIDYLMOLTWK · pith_short_8: NVY3JPID

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/NVY3JPIDYLMOLTWKUY5GOE27DY \
  | 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: 6d71b4bd03c2d8e5cecaa63a67135f1e178956b8243e81547aa7312c8fea1ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d280f904b9ef81f279fee0f4802a5fbbc41c2a087ef8bc65e9634f3dfae5a759",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-09-13T22:49:50Z",
    "title_canon_sha256": "4d644d258001a7d917e72cbeb68bdf9f2a06b9fa2e9b391f5f1e8c0969cf2066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2535",
    "kind": "arxiv",
    "version": 1
  }
}