Pith Number

pith:7G7GCILH

pith:2014:7G7GCILHIVWRCW6CQ5BVPXCCMR

not attested not anchored not stored refs pending

A classification of exceptional components in group algebras over abelian number fields

Andreas B\"achle, Inneke Van Gelder, Mauricio Caicedo

arxiv:1412.5458 v4 · 2014-12-17 · math.RT · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7G7GCILHIVWRCW6CQ5BVPXCCMR}

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	2026-05-18T01:12:58.669052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9be612167456d115bc2874357dc4264598ea567be9fbd8060f10629f369d99b

Aliases

arxiv: 1412.5458 · arxiv_version: 1412.5458v4 · doi: 10.48550/arxiv.1412.5458 · pith_short_12: 7G7GCILHIVWR · pith_short_16: 7G7GCILHIVWRCW6C · pith_short_8: 7G7GCILH

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/7G7GCILHIVWRCW6CQ5BVPXCCMR \
  | 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: f9be612167456d115bc2874357dc4264598ea567be9fbd8060f10629f369d99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23dca718fcb55b84b8fe543c82d25480cfdd6cea8c225587757fef7ec0c63527",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-12-17T16:14:36Z",
    "title_canon_sha256": "b176eedb76df2cc6988c0da6e4efbd50b5c575f1edc6a4061e04c4d0fc9df81e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5458",
    "kind": "arxiv",
    "version": 4
  }
}