Pith Number

pith:PO4MMNBE

pith:2013:PO4MMNBEM5HHTCPUKLWLR7HOMO

not attested not anchored not stored refs pending

Spherical subgroups in simple algebraic groups

Friedrich Knop, Gerhard Roehrle

arxiv:1305.3183 v3 · 2013-05-14 · math.GR · 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{PO4MMNBEM5HHTCPUKLWLR7HOMO}

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	2026-05-18T01:36:15.858301Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bb8c63424674e7989f452ecb8fcee63bccc45d72e3f4ddf6d5f37a4ca91e441

Aliases

arxiv: 1305.3183 · arxiv_version: 1305.3183v3 · doi: 10.48550/arxiv.1305.3183 · pith_short_12: PO4MMNBEM5HH · pith_short_16: PO4MMNBEM5HHTCPU · pith_short_8: PO4MMNBE

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/PO4MMNBEM5HHTCPUKLWLR7HOMO \
  | 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: 7bb8c63424674e7989f452ecb8fcee63bccc45d72e3f4ddf6d5f37a4ca91e441

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efe6d55406b87571321a171e3d5746e1c5354b02f1a90d08f76b39cacd984a4d",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-14T15:33:20Z",
    "title_canon_sha256": "1d6e72f506e8a1af67b3c14b7fe7f4ee9d44b2dcbde4d1fda2f461303f4c4a32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3183",
    "kind": "arxiv",
    "version": 3
  }
}