Pith Number

pith:CZUFCRSA

pith:2014:CZUFCRSAMNDD42TPDJ5LOYRPBS

not attested not anchored not stored refs pending

On palindromic width of certain extensions and quotients of free nilpotent groups

Krishnendu Gongopadhyay, Valeriy G. Bardakov

arxiv:1402.5314 v2 · 2014-02-21 · 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{CZUFCRSAMNDD42TPDJ5LOYRPBS}

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	2026-05-18T02:28:55.210244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

166851464063463e6a6f1a7ab7622f0c88e0cb611172e35a354278bba1d662d0

Aliases

arxiv: 1402.5314 · arxiv_version: 1402.5314v2 · doi: 10.48550/arxiv.1402.5314 · pith_short_12: CZUFCRSAMNDD · pith_short_16: CZUFCRSAMNDD42TP · pith_short_8: CZUFCRSA

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/CZUFCRSAMNDD42TPDJ5LOYRPBS \
  | 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: 166851464063463e6a6f1a7ab7622f0c88e0cb611172e35a354278bba1d662d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e031ae8f1688b192f52ac23a89595a5136db939c51747aaf9b98fd734fd8fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-21T14:56:41Z",
    "title_canon_sha256": "2303eb255a6bd334a34b2308e3a0e97d0dbb29f2d06fe47738dcd49e07e036b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5314",
    "kind": "arxiv",
    "version": 2
  }
}