Pith Number

pith:ZAQPKXUG

pith:2013:ZAQPKXUGKUSK4NG4MAZ26UNANP

not attested not anchored not stored refs pending

Palindromic width of wreath products, metabelian groups, and max-n solvable groups

A. W. Sale, T. R. Riley

arxiv:1307.4861 v3 · 2013-07-18 · 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{ZAQPKXUGKUSK4NG4MAZ26UNANP}

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	2026-05-18T02:42:54.108934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c820f55e865524ae34dc6033af51a06bd60b7746f66f44d4a2248c9c31b982e2

Aliases

arxiv: 1307.4861 · arxiv_version: 1307.4861v3 · doi: 10.48550/arxiv.1307.4861 · pith_short_12: ZAQPKXUGKUSK · pith_short_16: ZAQPKXUGKUSK4NG4 · pith_short_8: ZAQPKXUG

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/ZAQPKXUGKUSK4NG4MAZ26UNANP \
  | 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: c820f55e865524ae34dc6033af51a06bd60b7746f66f44d4a2248c9c31b982e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86de536ed365e55ca591ec640074842bbd52698b4721eb8ff0a91db1cf5d8f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-07-18T08:25:42Z",
    "title_canon_sha256": "4346cefcbe0468fad60a94ca265af3b7ba9e0149e0dfef230b124ded969a9082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4861",
    "kind": "arxiv",
    "version": 3
  }
}