Pith Number

pith:WOPZQRYK

pith:2014:WOPZQRYKLXNCK5YSITMWZUD6BW

not attested not anchored not stored refs pending

Invariable generation of prosoluble groups

Andrea Lucchini, Eloisa Detomi

arxiv:1410.5271 v2 · 2014-10-20 · 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{WOPZQRYKLXNCK5YSITMWZUD6BW}

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	2026-05-18T02:39:39.856428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b39f98470a5dda25771244d96cd07e0da97ed99078caae5cc678abc82eb8e43c

Aliases

arxiv: 1410.5271 · arxiv_version: 1410.5271v2 · doi: 10.48550/arxiv.1410.5271 · pith_short_12: WOPZQRYKLXNC · pith_short_16: WOPZQRYKLXNCK5YS · pith_short_8: WOPZQRYK

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/WOPZQRYKLXNCK5YSITMWZUD6BW \
  | 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: b39f98470a5dda25771244d96cd07e0da97ed99078caae5cc678abc82eb8e43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdfe9efa280b23e82c4f24a2cf0c55108eafd97471587aa0e2880d12b3cbae33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-10-20T13:41:41Z",
    "title_canon_sha256": "b35714bf627299ecbe4b3ba753a4ee0fac82dbfea453ee6de09d39071219cbb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5271",
    "kind": "arxiv",
    "version": 2
  }
}