Pith Number

pith:MBGZGIKX

pith:2015:MBGZGIKXCDUMD6KATLJHLIVJ2M

not attested not anchored not stored refs pending

Rigidity for F_4(p)

Frank L\"ubeck, Jun Yu, Robert Guralnick

arxiv:1511.06871 v2 · 2015-11-21 · math.NT · 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{MBGZGIKXCDUMD6KATLJHLIVJ2M}

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	2026-05-18T01:04:53.873963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604d93215710e8c1f9409ad275a2a9d32b0e1c1371de4d0bea171f807c29f678

Aliases

arxiv: 1511.06871 · arxiv_version: 1511.06871v2 · doi: 10.48550/arxiv.1511.06871 · pith_short_12: MBGZGIKXCDUM · pith_short_16: MBGZGIKXCDUMD6KA · pith_short_8: MBGZGIKX

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/MBGZGIKXCDUMD6KATLJHLIVJ2M \
  | 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: 604d93215710e8c1f9409ad275a2a9d32b0e1c1371de4d0bea171f807c29f678

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7977702378484ec320abfc3062350a8e84662676d10636353ecdaab5a122921f",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-21T12:07:41Z",
    "title_canon_sha256": "2ec6d1fd4e5f971f1c05fe2a42685d276418bf14b47e2de639c1a08fe1ec50b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06871",
    "kind": "arxiv",
    "version": 2
  }
}