Pith Number

pith:HD5US6SF

pith:2012:HD5US6SFJBIE4HWLY7UBKMKV5I

not attested not anchored not stored refs pending

Central units of integral group rings

\'Angel del R\'io, Eric Jespers, Gabriela Olteanu, Inneke Van Gelder

arxiv:1203.5232 v2 · 2012-03-23 · math.RA · math.AC · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HD5US6SFJBIE4HWLY7UBKMKV5I}

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	2026-05-18T03:51:47.051837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38fb497a4548504e1ecbc7e8153155ea1bc4e4c9df68d253f67628301effdec2

Aliases

arxiv: 1203.5232 · arxiv_version: 1203.5232v2 · doi: 10.48550/arxiv.1203.5232 · pith_short_12: HD5US6SFJBIE · pith_short_16: HD5US6SFJBIE4HWL · pith_short_8: HD5US6SF

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/HD5US6SFJBIE4HWLY7UBKMKV5I \
  | 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: 38fb497a4548504e1ecbc7e8153155ea1bc4e4c9df68d253f67628301effdec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f904538506ccea43bc6c66f1d11363c3274a491d31a03550a2ce31b63d84502",
    "cross_cats_sorted": [
      "math.AC",
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-03-23T13:24:00Z",
    "title_canon_sha256": "e05bfd57440f6a3ced035f85ce2cb2dcb0c14b73caae3bb72915950da1191dff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5232",
    "kind": "arxiv",
    "version": 2
  }
}