Pith Number

pith:MHYHFQEV

pith:2012:MHYHFQEVVW5ZQZDAQQCBQZQIQC

not attested not anchored not stored refs pending

On a generalization of M-group

Hung P. Tong-Viet, Jamshid Moori, Tung Le

arxiv:1206.5067 v2 · 2012-06-22 · 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{MHYHFQEVVW5ZQZDAQQCBQZQIQC}

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	2026-05-18T03:41:20.084983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f072c095adbb986460840418660880b53208940cecae16886ea124d1584f25

Aliases

arxiv: 1206.5067 · arxiv_version: 1206.5067v2 · doi: 10.48550/arxiv.1206.5067 · pith_short_12: MHYHFQEVVW5Z · pith_short_16: MHYHFQEVVW5ZQZDA · pith_short_8: MHYHFQEV

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/MHYHFQEVVW5ZQZDAQQCBQZQIQC \
  | 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: 61f072c095adbb986460840418660880b53208940cecae16886ea124d1584f25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "415b24418593e275f8ceb249575a80074543eeb968027da11ee59ddda9593231",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-22T06:47:15Z",
    "title_canon_sha256": "20c45599a1134a31f29125b3c1e12994fe2d5e52a3d70a29d0f54327b2378dc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5067",
    "kind": "arxiv",
    "version": 2
  }
}