Pith Number

pith:AXMKSCYZ

pith:2010:AXMKSCYZQLFH2FKF3ZDFVSZJGH

not attested not anchored not stored refs pending

On conjugacy growth for solvable groups

Emmanuel Breuillard, Yves de Cornulier

arxiv:1011.2987 v1 · 2010-11-12 · 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{AXMKSCYZQLFH2FKF3ZDFVSZJGH}

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	2026-05-18T04:22:02.250587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05d8a90b1982ca7d1545de465acb2931f8c29cb31687c65691b06880a07b9b19

Aliases

arxiv: 1011.2987 · arxiv_version: 1011.2987v1 · doi: 10.48550/arxiv.1011.2987 · pith_short_12: AXMKSCYZQLFH · pith_short_16: AXMKSCYZQLFH2FKF · pith_short_8: AXMKSCYZ

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/AXMKSCYZQLFH2FKF3ZDFVSZJGH \
  | 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: 05d8a90b1982ca7d1545de465acb2931f8c29cb31687c65691b06880a07b9b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c46d4015d86206782a63bf7abbf76ef65326e881c978499d7e165e697bda5cac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-11-12T17:07:25Z",
    "title_canon_sha256": "e83c8cfb60bb34dc250cf166df6d4208d23e0e4dd02c6df59c003ac1b3837346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2987",
    "kind": "arxiv",
    "version": 1
  }
}