Pith Number

pith:MXUGMQXG

pith:2011:MXUGMQXGIGA5OPGSATZTMIKXRK

not attested not anchored not stored refs pending

Introduction to Sporadic Groups

Luis J. Boya

arxiv:1101.3055 v1 · 2011-01-16 · math-ph · hep-th · math.GR · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXUGMQXGIGA5OPGSATZTMIKXRK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:22:52.238681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65e86642e64181d73cd204f33621578a9bdeab550a0bc8ccc3cd1266d03a4b46

Aliases

arxiv: 1101.3055 · arxiv_version: 1101.3055v1 · doi: 10.48550/arxiv.1101.3055 · pith_short_12: MXUGMQXGIGA5 · pith_short_16: MXUGMQXGIGA5OPGS · pith_short_8: MXUGMQXG

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/MXUGMQXGIGA5OPGSATZTMIKXRK \
  | 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: 65e86642e64181d73cd204f33621578a9bdeab550a0bc8ccc3cd1266d03a4b46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605bce5afe8a7e85e7cb1c0e06641e08325e535ca87c8ad5b4366583adf47622",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-01-16T08:10:59Z",
    "title_canon_sha256": "4e5fdec5ca8750c3494917f7615e408ad09d2ef45cea3363a97abe315b98d44a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3055",
    "kind": "arxiv",
    "version": 1
  }
}