Pith Number

pith:PNPWIQJK

pith:2016:PNPWIQJKVWFNCIBZFVTNYU2YQE

not attested not anchored not stored refs pending

On the Gruenberg-Kegel Graph of Integral Group Rings of Finite Groups

Alexander Konovalov, Wolfgang Kimmerle

arxiv:1612.05025 v1 · 2016-12-15 · 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{PNPWIQJKVWFNCIBZFVTNYU2YQE}

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	2026-05-18T00:54:53.622535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b5f64412aad8ad120392d66dc5358810b954a1f4a765e4f53d6e3b9b8f7b401

Aliases

arxiv: 1612.05025 · arxiv_version: 1612.05025v1 · doi: 10.48550/arxiv.1612.05025 · pith_short_12: PNPWIQJKVWFN · pith_short_16: PNPWIQJKVWFNCIBZ · pith_short_8: PNPWIQJK

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/PNPWIQJKVWFNCIBZFVTNYU2YQE \
  | 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: 7b5f64412aad8ad120392d66dc5358810b954a1f4a765e4f53d6e3b9b8f7b401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d8cfe033db1d2e6b9e841c74f3238c84852b8b557b2a870c9f8b891da75e61e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-15T11:33:10Z",
    "title_canon_sha256": "3cd875f6a6be2b093c5e2e66c53c0ccf5e4b3ea2f45d78ccf6b6b774c9a31f85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05025",
    "kind": "arxiv",
    "version": 1
  }
}