Pith Number

pith:KYCM5GRZ

pith:2021:KYCM5GRZPHZA7JFKPGJ2736JI7

not attested not anchored not stored refs pending

Overgroups of subsystem subgroups in exceptional groups: nonideal levels

Pavel Gvozdevsky

arxiv:2107.01258 v2 · 2021-07-02 · 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{KYCM5GRZPHZA7JFKPGJ2736JI7}

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	2026-07-05T06:14:22.162288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5604ce9a3979f20fa4aa7993afefc947e1f978b8ee6cece9dde7e8cbcd604837

Aliases

arxiv: 2107.01258 · arxiv_version: 2107.01258v2 · doi: 10.48550/arxiv.2107.01258 · pith_short_12: KYCM5GRZPHZA · pith_short_16: KYCM5GRZPHZA7JFK · pith_short_8: KYCM5GRZ

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/KYCM5GRZPHZA7JFKPGJ2736JI7 \
  | 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: 5604ce9a3979f20fa4aa7993afefc947e1f978b8ee6cece9dde7e8cbcd604837

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "218888b4f8261f0b38300934a9109bfbe63870dfcdda5de18cae95b4f7c48a95",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-07-02T20:25:07Z",
    "title_canon_sha256": "bcca310f437d9eca149b4d06a3367ebd21cc419c3fa1b6feb9bdc751b58f4a3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01258",
    "kind": "arxiv",
    "version": 2
  }
}