Pith Number

pith:NJE5WJ2B

pith:2006:NJE5WJ2BG3HMBWL5EQCCDISYXN

not attested not anchored not stored refs pending

Rigidity of the Minimal Grope Group

Ales Vavpetic, Katsuya Eda, Matija Cencelj

arxiv:math/0608125 v1 · 2006-08-04 · 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{NJE5WJ2BG3HMBWL5EQCCDISYXN}

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	2026-05-18T00:08:46.727877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a49db274136cec0d97d240421a258bb638544a9795b106f2b8d8d89092a7ec0

Aliases

arxiv: math/0608125 · arxiv_version: math/0608125v1 · doi: 10.48550/arxiv.math/0608125 · pith_short_12: NJE5WJ2BG3HM · pith_short_16: NJE5WJ2BG3HMBWL5 · pith_short_8: NJE5WJ2B

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/NJE5WJ2BG3HMBWL5EQCCDISYXN \
  | 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: 6a49db274136cec0d97d240421a258bb638544a9795b106f2b8d8d89092a7ec0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4463eff341eac453a66c84db8f95d5ca28b00ed8488d24aec49837ae3b65eb1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-08-04T17:07:19Z",
    "title_canon_sha256": "00cc0eab550596219c32f73dcf8dd34f7225acb201f8976b473330bcd1776f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608125",
    "kind": "arxiv",
    "version": 1
  }
}