Pith Number

pith:3MSHH4QE

pith:2002:3MSHH4QEDXV4PKOLM5UNQPOG6R

not attested not anchored not stored refs pending

On sequentially h-complete groups

G\'abor Luk\'acs

arxiv:math/0210354 v3 · 2002-10-22 · math.GR · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3MSHH4QEDXV4PKOLM5UNQPOG6R}

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	2026-05-18T04:12:19.429220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db2473f2041debc7a9cb6768d83dc6f46eaf754a6462ab4396923829f97095f1

Aliases

arxiv: math/0210354 · arxiv_version: math/0210354v3 · doi: 10.48550/arxiv.math/0210354 · pith_short_12: 3MSHH4QEDXV4 · pith_short_16: 3MSHH4QEDXV4PKOL · pith_short_8: 3MSHH4QE

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/3MSHH4QEDXV4PKOLM5UNQPOG6R \
  | 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: db2473f2041debc7a9cb6768d83dc6f46eaf754a6462ab4396923829f97095f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c658cd3ac1a8e3020312f4dda0409cdfcb54e00aec70ecfaf262e93dfb64183",
    "cross_cats_sorted": [
      "math.CT",
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-10-22T19:48:10Z",
    "title_canon_sha256": "a8006d3178369252e4548a5cfc73f7b2d2e9fa520e3642eb509a1aafa86ce78a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210354",
    "kind": "arxiv",
    "version": 3
  }
}