Pith Number

pith:7GLRTWFM

pith:2010:7GLRTWFMHI5O4VTUZAXVEGCTLO

not attested not anchored not stored refs pending

On the Surjectivity of Engel Words on PSL(2,q)

Fritz Grunewald, Shelly Garion, Tatiana Bandman

arxiv:1008.1397 v2 · 2010-08-08 · math.GR · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GLRTWFMHI5O4VTUZAXVEGCTLO}

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	2026-05-18T03:42:44.953100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f99719d8ac3a3aee5674c82f5218535b8f9c3bdd204b2eaccd589b51269082e3

Aliases

arxiv: 1008.1397 · arxiv_version: 1008.1397v2 · doi: 10.48550/arxiv.1008.1397 · pith_short_12: 7GLRTWFMHI5O · pith_short_16: 7GLRTWFMHI5O4VTU · pith_short_8: 7GLRTWFM

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/7GLRTWFMHI5O4VTUZAXVEGCTLO \
  | 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: f99719d8ac3a3aee5674c82f5218535b8f9c3bdd204b2eaccd589b51269082e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca021627f544d8c1e15ef1a44314cffb76df9cea6f88e320f5fe5bf5be61329d",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-08T09:53:03Z",
    "title_canon_sha256": "2c70ad44e4431229775285ac9bca29c8dc228b9c361ac513e1c988c163dea48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1397",
    "kind": "arxiv",
    "version": 2
  }
}