Pith Number

pith:UZZGBZQC

pith:2014:UZZGBZQCSNPDPBOM4L35QDGZNU

not attested not anchored not stored refs pending

Invariable generation with elements of coprime prime-power order

Andrea Lucchini, Eloisa Detomi

arxiv:1409.0997 v1 · 2014-09-03 · 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{UZZGBZQCSNPDPBOM4L35QDGZNU}

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	2026-05-18T02:43:44.597364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a67260e602935e3785cce2f7d80cd96d114c56988072466e80b1a99e2656a713

Aliases

arxiv: 1409.0997 · arxiv_version: 1409.0997v1 · doi: 10.48550/arxiv.1409.0997 · pith_short_12: UZZGBZQCSNPD · pith_short_16: UZZGBZQCSNPDPBOM · pith_short_8: UZZGBZQC

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/UZZGBZQCSNPDPBOM4L35QDGZNU \
  | 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: a67260e602935e3785cce2f7d80cd96d114c56988072466e80b1a99e2656a713

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "290d5e4e4f376e57fa450ad22775716a8b8eea8c73dc677761aff03a3384bb17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-09-03T08:58:51Z",
    "title_canon_sha256": "fcd20cd373318d62830d2c5bfaab5efc642f17f2086ca3c5e4ad055b0cb2a300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.0997",
    "kind": "arxiv",
    "version": 1
  }
}