Pith Number

pith:U6JAMDKP

pith:2019:U6JAMDKPHREPDZEFHO2I3M7WNL

not attested not anchored not stored refs pending

Bounds on the number of simple modules in blocks of finite groups of Lie type

Ruwen Hollenbach

arxiv:1907.10353 v1 · 2019-07-24 · math.RT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6JAMDKPHREPDZEFHO2I3M7WNL}

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	2026-05-17T23:39:38.199623Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a792060d4f3c48f1e4853bb48db3f66ac96c4fd8e3521e11217999476f0f5548

Aliases

arxiv: 1907.10353 · arxiv_version: 1907.10353v1 · doi: 10.48550/arxiv.1907.10353 · pith_short_12: U6JAMDKPHREP · pith_short_16: U6JAMDKPHREPDZEF · pith_short_8: U6JAMDKP

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/U6JAMDKPHREPDZEFHO2I3M7WNL \
  | 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: a792060d4f3c48f1e4853bb48db3f66ac96c4fd8e3521e11217999476f0f5548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51a2db4d3ed71913665f11f91e622fcdff85d538f1b964a92480c8d15f988953",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-07-24T10:37:26Z",
    "title_canon_sha256": "d79ff54630e588c85781852282e62d128c73053152bf2a0f5efdf53e7dd315b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10353",
    "kind": "arxiv",
    "version": 1
  }
}