Pith Number

pith:QQZICQBC

pith:2013:QQZICQBCEGAGWSKVQLRS23Q4ZJ

not attested not anchored not stored refs pending

Growth Rates of Algebras, III: Growth Rates of Solvable Algebras

\'Agnes Szendrei, Emil W. Kiss, Keith A. Kearnes

arxiv:1311.2359 v3 · 2013-11-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQZICQBCEGAGWSKVQLRS23Q4ZJ}

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	2026-05-18T02:38:53.107594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

843281402221806b495582e32d6e1cca737b675a762db889994eeeaf3e7a9fa5

Aliases

arxiv: 1311.2359 · arxiv_version: 1311.2359v3 · doi: 10.48550/arxiv.1311.2359 · pith_short_12: QQZICQBCEGAG · pith_short_16: QQZICQBCEGAGWSKV · pith_short_8: QQZICQBC

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/QQZICQBCEGAGWSKVQLRS23Q4ZJ \
  | 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: 843281402221806b495582e32d6e1cca737b675a762db889994eeeaf3e7a9fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d1c2ee58aeec33e63223dc30616066cd6e988cb7d874977e03ba790df77c25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-11-11T05:55:15Z",
    "title_canon_sha256": "d001b09b3cd1367591eb00c984bd49bd9328fd1c844d95c8470db4676e3e8274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2359",
    "kind": "arxiv",
    "version": 3
  }
}