Pith Number

pith:ZYTKYVGE

pith:2018:ZYTKYVGENZXQF2D3BEUZBFGE2W

not attested not anchored not stored refs pending

On the first Zassenhaus conjecture and direct products

Andreas B\"achle, Mariano Serrano, Wolfgang Kimmerle

arxiv:1801.09422 v1 · 2018-01-29 · 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{ZYTKYVGENZXQF2D3BEUZBFGE2W}

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	2026-05-17T23:48:02.096030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce26ac54c46e6f02e87b09299094c4d5b9e6275c17084128df6183c255dc4158

Aliases

arxiv: 1801.09422 · arxiv_version: 1801.09422v1 · doi: 10.48550/arxiv.1801.09422 · pith_short_12: ZYTKYVGENZXQ · pith_short_16: ZYTKYVGENZXQF2D3 · pith_short_8: ZYTKYVGE

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/ZYTKYVGENZXQF2D3BEUZBFGE2W \
  | 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: ce26ac54c46e6f02e87b09299094c4d5b9e6275c17084128df6183c255dc4158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4615ba66eb2c4968f9467850fa2fe5f3f6bfea1236e727c114180fe9eca39f7d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-01-29T09:51:49Z",
    "title_canon_sha256": "feed5817bec142b4321d18e0bdded182376a9470c06305c5d0fa577559ec6c80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09422",
    "kind": "arxiv",
    "version": 1
  }
}