Pith Number

pith:PQXRLFJ5

pith:2019:PQXRLFJ5UMEJD3XL3RUL75EBPB

not attested not anchored not stored refs pending

Abelian subgroups, nilpotent subgroups, and the largest character degree of a finite group

Nguyen Ngoc Hung, Yong Yang

arxiv:1905.10512 v1 · 2019-05-25 · 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{PQXRLFJ5UMEJD3XL3RUL75EBPB}

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	2026-05-17T23:45:08.264735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2f15953da30891eeebdc68bff481784d34f9da38ba67076df9e827810a705c

Aliases

arxiv: 1905.10512 · arxiv_version: 1905.10512v1 · doi: 10.48550/arxiv.1905.10512 · pith_short_12: PQXRLFJ5UMEJ · pith_short_16: PQXRLFJ5UMEJD3XL · pith_short_8: PQXRLFJ5

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/PQXRLFJ5UMEJD3XL3RUL75EBPB \
  | 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: 7c2f15953da30891eeebdc68bff481784d34f9da38ba67076df9e827810a705c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb4cf5932413c8f94b0e24d2ced642def2369f5945a1339f0ca44928b45256c",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-05-25T03:52:23Z",
    "title_canon_sha256": "618c76fbb98fecad1193da4e0b8c699a24be28009324c36ad8b250de084232cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10512",
    "kind": "arxiv",
    "version": 1
  }
}