Pith Number

pith:ZZSKGZMW

pith:2013:ZZSKGZMWHKMENKQK35H22XB5RR

not attested not anchored not stored refs pending

Palindromic width of free nilpotent groups

Krishnendu Gongopadhyay, Valeriy G. Bardakov

arxiv:1303.1129 v3 · 2013-03-05 · 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{ZZSKGZMWHKMENKQK35H22XB5RR}

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	2026-05-18T02:58:22.025503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce64a365963a9846aa0adf4fad5c3d8c5dc5263def941b02fef2a83e1b9726b5

Aliases

arxiv: 1303.1129 · arxiv_version: 1303.1129v3 · doi: 10.48550/arxiv.1303.1129 · pith_short_12: ZZSKGZMWHKME · pith_short_16: ZZSKGZMWHKMENKQK · pith_short_8: ZZSKGZMW

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/ZZSKGZMWHKMENKQK35H22XB5RR \
  | 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: ce64a365963a9846aa0adf4fad5c3d8c5dc5263def941b02fef2a83e1b9726b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6239976590122dfba5caf762398c059d52be0bbaad688fa6837fc1294c3e7772",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-03-05T18:31:51Z",
    "title_canon_sha256": "5402c6a0d8471c6b1ff07f4eae3730c6460099ec32662c32f8f7002d59aee95a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1129",
    "kind": "arxiv",
    "version": 3
  }
}