Pith Number

pith:QXKQFE3I

pith:2011:QXKQFE3I455TCLLVM44FHTD7M4

not attested not anchored not stored refs pending

Arithmetic groups, base change, and representation growth

Benjamin Klopsch, Christopher Voll, Nir Avni, Uri Onn

arxiv:1110.6092 v4 · 2011-10-27 · 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{QXKQFE3I455TCLLVM44FHTD7M4}

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	2026-05-18T01:22:09.006898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85d5029368e77b312d75673853cc7f671485b43aa98f642d745e0e61393e8de0

Aliases

arxiv: 1110.6092 · arxiv_version: 1110.6092v4 · doi: 10.48550/arxiv.1110.6092 · pith_short_12: QXKQFE3I455T · pith_short_16: QXKQFE3I455TCLLV · pith_short_8: QXKQFE3I

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/QXKQFE3I455TCLLVM44FHTD7M4 \
  | 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: 85d5029368e77b312d75673853cc7f671485b43aa98f642d745e0e61393e8de0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07b83a45c71af499b3ec47a1b4d555d30d5e55c9eb89b12f004d352ba45623b0",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-10-27T14:38:30Z",
    "title_canon_sha256": "a0c71fcf77a88a6ba0a0a58b7738cb34d431da944e2f2d94cef5c3adeb6e04b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6092",
    "kind": "arxiv",
    "version": 4
  }
}