Pith Number

pith:WUKDOZNG

pith:2015:WUKDOZNGYHP7W2WWDNJU2YWAFS

not attested not anchored not stored refs pending

On Palindromic Widths of Nilpotent and Wreathe Products

Krishnendu Gongopadhyay, Oleg V. Bryukhanov, Valeriy G. Bardakov

arxiv:1501.05170 v2 · 2015-01-21 · 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{WUKDOZNGYHP7W2WWDNJU2YWAFS}

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	2026-05-18T00:25:27.434627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5143765a6c1dffb6ad61b534d62c02cbf217c66da08e05e96645ee0a4e0ed09

Aliases

arxiv: 1501.05170 · arxiv_version: 1501.05170v2 · doi: 10.48550/arxiv.1501.05170 · pith_short_12: WUKDOZNGYHP7 · pith_short_16: WUKDOZNGYHP7W2WW · pith_short_8: WUKDOZNG

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/WUKDOZNGYHP7W2WWDNJU2YWAFS \
  | 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: b5143765a6c1dffb6ad61b534d62c02cbf217c66da08e05e96645ee0a4e0ed09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d961440dfcbde0ce728368d08784ab089b959929706b99b70da8305c9859248",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-21T13:54:08Z",
    "title_canon_sha256": "e05b5c8171a821eae38ce7a9e88afade513bd49fea050b175b91ce8b76233d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05170",
    "kind": "arxiv",
    "version": 2
  }
}