Pith Number

pith:XRXI2LR2

pith:2016:XRXI2LR2W3EDVGUCSTH45CVRGQ

not attested not anchored not stored refs pending

Representation Growth

Javier Garc\'ia-Rodr\'iguez

arxiv:1612.06178 v1 · 2016-12-19 · 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{XRXI2LR2W3EDVGUCSTH45CVRGQ}

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.

Cited by

1 paper in Pith

Representation growth of quasi-semisimple profinite groups

Receipt and verification

First computed	2026-05-18T00:54:42.963613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc6e8d2e3ab6c83a9a8294cfce8ab1342fb62db2e79219c19ddfc866799c63fb

Aliases

arxiv: 1612.06178 · arxiv_version: 1612.06178v1 · doi: 10.48550/arxiv.1612.06178 · pith_short_12: XRXI2LR2W3ED · pith_short_16: XRXI2LR2W3EDVGUC · pith_short_8: XRXI2LR2

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/XRXI2LR2W3EDVGUCSTH45CVRGQ \
  | 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: bc6e8d2e3ab6c83a9a8294cfce8ab1342fb62db2e79219c19ddfc866799c63fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "217010a5eca663fde35969c5141167979506c3119c35678b39f5030c0b715d99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-19T13:44:12Z",
    "title_canon_sha256": "c9788ed3b3269e0bbbf7342e3f9950df1ac08923bfc4123fe097aed593899f55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06178",
    "kind": "arxiv",
    "version": 1
  }
}