Pith Number

pith:XOJLEDPB

pith:2002:XOJLEDPB7SXJMHGA2CRJKLBMZO

not attested not anchored not stored refs pending

Smith equivalence and finite Oliver groups with Laitinen number 0 or 1

Krzysztof Pawalowski, Ronald Solomon

arxiv:math/0210373 v1 · 2002-10-23 · math.AT · 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{XOJLEDPB7SXJMHGA2CRJKLBMZO}

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	2026-05-18T02:41:32.839961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb92b20de1fcae961cc0d0a2952c2ccb9ce4ed30c5053058f0d0cb9ed03b7f1e

Aliases

arxiv: math/0210373 · arxiv_version: math/0210373v1 · doi: 10.48550/arxiv.math/0210373 · pith_short_12: XOJLEDPB7SXJ · pith_short_16: XOJLEDPB7SXJMHGA · pith_short_8: XOJLEDPB

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/XOJLEDPB7SXJMHGA2CRJKLBMZO \
  | 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: bb92b20de1fcae961cc0d0a2952c2ccb9ce4ed30c5053058f0d0cb9ed03b7f1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0d5f255e3db8a6062383aa08d231d33f54c0d96a32331a2abbc243ee388ca0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-10-23T22:16:37Z",
    "title_canon_sha256": "2818c3fc342b4056b4ae93ce8048d69457fa5e465c8d6306a66e153d9799c9d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210373",
    "kind": "arxiv",
    "version": 1
  }
}