Pith Number

pith:U4J7N7B2

pith:2010:U4J7N7B2X6VS5C3LA7TZU3JZZT

not attested not anchored not stored refs pending

Torsion units in integral group rings of Conway simple groups

A. Konovalov, S. Linton, V. Bovdi

arxiv:1012.4489 v1 · 2010-12-20 · math.RA · 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{U4J7N7B2X6VS5C3LA7TZU3JZZT}

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	2026-05-18T04:32:54.211072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96

Aliases

arxiv: 1012.4489 · arxiv_version: 1012.4489v1 · doi: 10.48550/arxiv.1012.4489 · pith_short_12: U4J7N7B2X6VS · pith_short_16: U4J7N7B2X6VS5C3L · pith_short_8: U4J7N7B2

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/U4J7N7B2X6VS5C3LA7TZU3JZZT \
  | 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: a713f6fc3abfab2e8b6b07e79a6d39ccc5e1f55a8e9df50917f2599ae6341f96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd79a973c1113f5ac322c3b319c2e97eb5b61cda5c0f6865c17d68d11bb2604",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-12-20T21:59:48Z",
    "title_canon_sha256": "74a3238b2907c10a0c5545fe1b09d09da30278b9744e15a409f02894dd679f08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4489",
    "kind": "arxiv",
    "version": 1
  }
}