Pith Number

pith:PK2DOGML

pith:2011:PK2DOGMLFLGVLPBQAJ7CNQNU26

not attested not anchored not stored refs pending

On twisted conjugacy classes of type D in sporadic simple groups

F. Fantino, L. Vendramin

arxiv:1107.0310 v4 · 2011-07-01 · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PK2DOGMLFLGVLPBQAJ7CNQNU26}

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	2026-05-18T03:30:53.958278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab437198b2acd55bc30027e26c1b4d7bc6b8e04ca652d13e054156334850604

Aliases

arxiv: 1107.0310 · arxiv_version: 1107.0310v4 · doi: 10.48550/arxiv.1107.0310 · pith_short_12: PK2DOGMLFLGV · pith_short_16: PK2DOGMLFLGVLPBQ · pith_short_8: PK2DOGML

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/PK2DOGMLFLGVLPBQAJ7CNQNU26 \
  | 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: 7ab437198b2acd55bc30027e26c1b4d7bc6b8e04ca652d13e054156334850604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b8cea4614c17bf3549acd5cfaaddd1788cd3bed7a59a066808f525c4932c6e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-07-01T19:36:41Z",
    "title_canon_sha256": "1e7f972f4b94f1c042e8021afb0277b57256fafddd231f6158dedd978ab2ed84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0310",
    "kind": "arxiv",
    "version": 4
  }
}