Pith Number

pith:IFL4WGZT

pith:2026:IFL4WGZTTIHKR7TLULL3XGH55O

not attested not anchored not stored refs pending

The group identification problem for $p$-groups of small order

Bettina Eick, Henrik Schanze

arxiv:2603.09363 v2 · 2026-03-10 · 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{IFL4WGZTTIHKR7TLULL3XGH55O}

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	2026-06-19T16:10:36.377688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4157cb1b339a0ea8fe6ba2d7bb98fdeb88edefcc9e6ae13129ef843ac60efe76

Aliases

arxiv: 2603.09363 · arxiv_version: 2603.09363v2 · doi: 10.48550/arxiv.2603.09363 · pith_short_12: IFL4WGZTTIHK · pith_short_16: IFL4WGZTTIHKR7TL · pith_short_8: IFL4WGZT

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/IFL4WGZTTIHKR7TLULL3XGH55O \
  | 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: 4157cb1b339a0ea8fe6ba2d7bb98fdeb88edefcc9e6ae13129ef843ac60efe76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367ef381569e5a4037abf81d6a41537557a9ef664cdcb564e001bb810acaf68f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-03-10T08:44:13Z",
    "title_canon_sha256": "31462532593f549f6343a07927fb45014f32284b247cf6b027018bbd904efb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.09363",
    "kind": "arxiv",
    "version": 2
  }
}