Pith Number

pith:VYPS2HQP

pith:2015:VYPS2HQPPUOJPU3HHF5HV3QOZZ

not attested not anchored not stored refs pending

Stratification for module categories of finite group schemes

Dave Benson, Henning Krause, Julia Pevtsova, Srikanth B. Iyengar

arxiv:1510.06773 v3 · 2015-10-22 · 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{VYPS2HQPPUOJPU3HHF5HV3QOZZ}

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	2026-05-18T00:40:51.881893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae1f2d1e0f7d1c97d367397a7aee0ece5db08e4e379e1f2ccf944fc8f1eae767

Aliases

arxiv: 1510.06773 · arxiv_version: 1510.06773v3 · doi: 10.48550/arxiv.1510.06773 · pith_short_12: VYPS2HQPPUOJ · pith_short_16: VYPS2HQPPUOJPU3H · pith_short_8: VYPS2HQP

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/VYPS2HQPPUOJPU3HHF5HV3QOZZ \
  | 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: ae1f2d1e0f7d1c97d367397a7aee0ece5db08e4e379e1f2ccf944fc8f1eae767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7791e2306e03a2c465e587e99ebcc0ce013a7b0e1c5a3591dcd1156ef2b8ac99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-10-22T21:32:26Z",
    "title_canon_sha256": "9f0626a31eef4dce88b16e7748a7185514c4c83696a99b393615cac83a873969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06773",
    "kind": "arxiv",
    "version": 3
  }
}