Pith Number

pith:AOXQ54MZ

pith:2011:AOXQ54MZNEAZIGXEV5JKS7QPJQ

not attested not anchored not stored refs pending

Conjugacy growth of finitely generated groups

D. Osin, M. Hull

arxiv:1107.1826 v4 · 2011-07-10 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AOXQ54MZNEAZIGXEV5JKS7QPJQ}

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	2026-05-18T00:51:53.364365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03af0ef1996901941ae4af52a97e0f4c33b1d4b8e1c1bfd544cc1209827aefd1

Aliases

arxiv: 1107.1826 · arxiv_version: 1107.1826v4 · doi: 10.48550/arxiv.1107.1826 · pith_short_12: AOXQ54MZNEAZ · pith_short_16: AOXQ54MZNEAZIGXE · pith_short_8: AOXQ54MZ

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/AOXQ54MZNEAZIGXEV5JKS7QPJQ \
  | 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: 03af0ef1996901941ae4af52a97e0f4c33b1d4b8e1c1bfd544cc1209827aefd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bc86d24cba0d18146a85409080aabb4ccd1bc0927a0f572b65dc173fbe851fb",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-10T00:09:30Z",
    "title_canon_sha256": "a28e075b9943f3ae6ee784522b670a266d48ee68a24c307de01ac53e18657a0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1826",
    "kind": "arxiv",
    "version": 4
  }
}