Pith Number

pith:JGVDTCD5

pith:2017:JGVDTCD5WQ6AKHYBXOTH436IF6

not attested not anchored not stored refs pending

Integral group rings of solvable groups with trivial central units

Andreas B\"achle

arxiv:1701.04347 v4 · 2017-01-16 · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGVDTCD5WQ6AKHYBXOTH436IF6}

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	2026-05-18T00:11:11.798596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49aa39887db43c051f01bba67e6fc82fad561a20838c9436370850350bcf48e0

Aliases

arxiv: 1701.04347 · arxiv_version: 1701.04347v4 · doi: 10.48550/arxiv.1701.04347 · pith_short_12: JGVDTCD5WQ6A · pith_short_16: JGVDTCD5WQ6AKHYB · pith_short_8: JGVDTCD5

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/JGVDTCD5WQ6AKHYBXOTH436IF6 \
  | 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: 49aa39887db43c051f01bba67e6fc82fad561a20838c9436370850350bcf48e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040766acb811a7ce444f1b6d1e48198f8a488c5a33b77b46b288b00adbd06235",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-01-16T16:21:30Z",
    "title_canon_sha256": "7729570c7d14161d1fb6699c5265ab15870458ccd56f7365bdc7920182c0042b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04347",
    "kind": "arxiv",
    "version": 4
  }
}