Pith Number

pith:23WK46ZG

pith:2015:23WK46ZGWC7HCQZDPKFG7KFTPT

not attested not anchored not stored refs pending

Formal conjugacy growth in acylindrically hyperbolic groups

Laura Ciobanu, Yago Antol\'in

arxiv:1508.06229 v2 · 2015-08-25 · 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{23WK46ZGWC7HCQZDPKFG7KFTPT}

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	2026-05-18T01:13:38.072712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ecae7b26b0be7143237a8a6fa8b37cc0a3d5a318f44bb6d8de46efc4c43d91

Aliases

arxiv: 1508.06229 · arxiv_version: 1508.06229v2 · doi: 10.48550/arxiv.1508.06229 · pith_short_12: 23WK46ZGWC7H · pith_short_16: 23WK46ZGWC7HCQZD · pith_short_8: 23WK46ZG

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/23WK46ZGWC7HCQZDPKFG7KFTPT \
  | 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: d6ecae7b26b0be7143237a8a6fa8b37cc0a3d5a318f44bb6d8de46efc4c43d91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8b74473708c77ec898150d42291ca2c1cd81b545abc6d3049ef3c9fea19517",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-25T17:08:31Z",
    "title_canon_sha256": "f9259792f2260c21efda12e415412578c4e55c72c05e0d46233127d1d850ab83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06229",
    "kind": "arxiv",
    "version": 2
  }
}