Pith Number

pith:RE3MSGIT

pith:2010:RE3MSGITNX4HDBTBEXN2WPFWWX

not attested not anchored not stored refs pending

Representations of semisimple Lie algebras in prime characteristic and noncommutative Springer resolution

Ivan Mirkovic, Roman Bezrukavnikov, with an Appendix by Eric Sommers

arxiv:1001.2562 v7 · 2010-01-14 · math.RT · 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{RE3MSGITNX4HDBTBEXN2WPFWWX}

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	2026-05-18T03:45:32.173534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8936c919136df871866125dbab3cb6b5c7c7eaedcd483d47e3bf4208ed624096

Aliases

arxiv: 1001.2562 · arxiv_version: 1001.2562v7 · doi: 10.48550/arxiv.1001.2562 · pith_short_12: RE3MSGITNX4H · pith_short_16: RE3MSGITNX4HDBTB · pith_short_8: RE3MSGIT

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/RE3MSGITNX4HDBTBEXN2WPFWWX \
  | 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: 8936c919136df871866125dbab3cb6b5c7c7eaedcd483d47e3bf4208ed624096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "822eb3681d9ca2ee196cecaedd151ee217f58695ff93cad7c96d5e6907c21d1d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-01-14T21:12:45Z",
    "title_canon_sha256": "39069137bd6d9d398bdfa1cc4856ec042eb8eebbce3065c5dc780f0d918b9cd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2562",
    "kind": "arxiv",
    "version": 7
  }
}