Pith Number

pith:PVKPNAZY

pith:2000:PVKPNAZYABJBPH66BA2K7775TO

not attested not anchored not stored refs pending

Radicals and Plotkin's problem concerning geometrically equivalent groups

R\"udiger G\"obel, Saharon Shelah

arxiv:math/0010303 v1 · 2000-10-30 · math.GR · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PVKPNAZYABJBPH66BA2K7775TO}

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	2026-05-18T01:05:38.146916Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d54f683380052179fde0834affffd9bb3dafab6e8d4e49ee8c103c78d177f7d

Aliases

arxiv: math/0010303 · arxiv_version: math/0010303v1 · doi: 10.48550/arxiv.math/0010303 · pith_short_12: PVKPNAZYABJB · pith_short_16: PVKPNAZYABJBPH66 · pith_short_8: PVKPNAZY

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/PVKPNAZYABJBPH66BA2K7775TO \
  | 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: 7d54f683380052179fde0834affffd9bb3dafab6e8d4e49ee8c103c78d177f7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "267bc34a0c6a2e709aca41b27a8626a58bbc5cd00e43b135640bb24267f30a07",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2000-10-30T19:03:52Z",
    "title_canon_sha256": "b1e49a0e524d366be95bb85471a071c63fac6afdf34c446f9b0df30827e57169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010303",
    "kind": "arxiv",
    "version": 1
  }
}