Pith Number

pith:AJCBFF3C

pith:2014:AJCBFF3CP7DD3TQ3DT6ADEKTHL

not attested not anchored not stored refs pending

Characterizing linear groups in terms of growth properties

D. B. McReynolds, Khalid Bou-Rabee

arxiv:1403.0983 v2 · 2014-03-05 · 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{AJCBFF3CP7DD3TQ3DT6ADEKTHL}

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	2026-05-18T00:58:55.758920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02441297627fc63dce1b1cfc0191533af45bb947e4459055ddfe6f706684e321

Aliases

arxiv: 1403.0983 · arxiv_version: 1403.0983v2 · doi: 10.48550/arxiv.1403.0983 · pith_short_12: AJCBFF3CP7DD · pith_short_16: AJCBFF3CP7DD3TQ3 · pith_short_8: AJCBFF3C

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/AJCBFF3CP7DD3TQ3DT6ADEKTHL \
  | 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: 02441297627fc63dce1b1cfc0191533af45bb947e4459055ddfe6f706684e321

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "531df205a42864ec826ad6ffa2154d408159302ccd093d77943103142b9ccb3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-05T01:40:14Z",
    "title_canon_sha256": "8dbaee9ac80ad54480fcb4995eadb555c288675bf9040ae449443fc51e89af43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.0983",
    "kind": "arxiv",
    "version": 2
  }
}