Pith Number

pith:WZCH7BOG

pith:2012:WZCH7BOG2PJUNSY6I4CIDMYNQK

not attested not anchored not stored refs pending

Distinction of the Steinberg representation

Francois Courtes, Paul Broussous

arxiv:1208.3332 v2 · 2012-08-16 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WZCH7BOG2PJUNSY6I4CIDMYNQK}

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	2026-05-18T03:47:00.556057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6447f85c6d3d346cb1e470481b30d829179750bd9ba8fb60d0933e44ae947f1

Aliases

arxiv: 1208.3332 · arxiv_version: 1208.3332v2 · doi: 10.48550/arxiv.1208.3332 · pith_short_12: WZCH7BOG2PJU · pith_short_16: WZCH7BOG2PJUNSY6 · pith_short_8: WZCH7BOG

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/WZCH7BOG2PJUNSY6I4CIDMYNQK \
  | 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: b6447f85c6d3d346cb1e470481b30d829179750bd9ba8fb60d0933e44ae947f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b64a5a83af4bdfa8a34a142fe30912e84ebf1e48894c22272c959fefe2c74c2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-16T10:19:02Z",
    "title_canon_sha256": "5954d25610f9f0ac27786bcfb940898a7153760ff24584b3dfb3f699f88a4519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3332",
    "kind": "arxiv",
    "version": 2
  }
}