Pith Number

pith:DUNSD64J

pith:2013:DUNSD64J35J65VBP5LDPOCZAUK

not attested not anchored not stored refs pending

Steinberg groups as amalgams

Daniel Allcock

arxiv:1307.2689 v5 · 2013-07-10 · 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{DUNSD64J35J65VBP5LDPOCZAUK}

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	2026-05-18T01:01:58.332857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d1b21fb89df53eed42feac6f70b20a2af17d7f5cd9f8602fdce96ca4fa7793c

Aliases

arxiv: 1307.2689 · arxiv_version: 1307.2689v5 · doi: 10.48550/arxiv.1307.2689 · pith_short_12: DUNSD64J35J6 · pith_short_16: DUNSD64J35J65VBP · pith_short_8: DUNSD64J

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/DUNSD64J35J65VBP5LDPOCZAUK \
  | 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: 1d1b21fb89df53eed42feac6f70b20a2af17d7f5cd9f8602fdce96ca4fa7793c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c88fedb4bcd40c273bcfdde612820ba5dfb76c3b1e6817a7616e5106809f9ca3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-10T06:23:48Z",
    "title_canon_sha256": "13cb85dd6b95111f0a1cd901886b8ac77c8ff52e8fd9fd35e5d895eabf38a10c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2689",
    "kind": "arxiv",
    "version": 5
  }
}