Pith Number

pith:XHZUF6DG

pith:2018:XHZUF6DG2V4L2FRSXCIRGDLCPS

not attested not anchored not stored refs pending

On tensoring with the Steinberg representation

Christopher P. Bendel, Cornelius Pillen, Daniel K. Nakano, Paul Sobaje

arxiv:1804.00613 v2 · 2018-04-02 · 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{XHZUF6DG2V4L2FRSXCIRGDLCPS}

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	2026-05-18T00:10:54.380095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f342f866d578bd1632b891130d627ca1180b9eedc75812cd64e671ac6be99c

Aliases

arxiv: 1804.00613 · arxiv_version: 1804.00613v2 · doi: 10.48550/arxiv.1804.00613 · pith_short_12: XHZUF6DG2V4L · pith_short_16: XHZUF6DG2V4L2FRS · pith_short_8: XHZUF6DG

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/XHZUF6DG2V4L2FRSXCIRGDLCPS \
  | 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: b9f342f866d578bd1632b891130d627ca1180b9eedc75812cd64e671ac6be99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0965c8cce06419320caa81a90bae0f4fdbc3c9bcc9c2da7e3b1cfb36df8e86b9",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2018-04-02T16:21:58Z",
    "title_canon_sha256": "d5bfb33104cde335f8df7b30708c958e0172631e3bc3f2d6c141be770cf41b84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00613",
    "kind": "arxiv",
    "version": 2
  }
}