Pith Number

pith:2POOFUBN

pith:2009:2POOFUBN4O2FJ6GQIEYC326DYR

not attested not anchored not stored refs pending

Nilpotency in type A cyclotomic quotients

Aaron D. Lauda, Alexander E. Hoffnung

arxiv:0903.2992 v3 · 2009-03-17 · 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{2POOFUBN4O2FJ6GQIEYC326DYR}

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	2026-05-18T04:39:08.587248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3dce2d02de3b454f8d041302debc3c44b305214e4370e8bc9d57e418d860b49

Aliases

arxiv: 0903.2992 · arxiv_version: 0903.2992v3 · doi: 10.48550/arxiv.0903.2992 · pith_short_12: 2POOFUBN4O2F · pith_short_16: 2POOFUBN4O2FJ6GQ · pith_short_8: 2POOFUBN

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/2POOFUBN4O2FJ6GQIEYC326DYR \
  | 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: d3dce2d02de3b454f8d041302debc3c44b305214e4370e8bc9d57e418d860b49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79485559f575e6219574e54bf7fdbb4c629d0dd031a592f3288e8f02cd96784a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-03-17T16:10:39Z",
    "title_canon_sha256": "4f98180015d8c59d2e047a1d2e2bd1494f5a887e8b22de720bfd80c809af1f3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2992",
    "kind": "arxiv",
    "version": 3
  }
}