Pith Number

pith:FJUQNIMK

pith:2013:FJUQNIMKI66JRCDQXKJOQL6U7I

not attested not anchored not stored refs pending

On groups with a class-preserving outer automorphism

Matthew S. Mizuhara, Peter A. Brooksbank

arxiv:1310.7663 v1 · 2013-10-29 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FJUQNIMKI66JRCDQXKJOQL6U7I}

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	2026-05-18T00:56:53.529657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6906a18a47bc988870ba92e82fd4fa27416cc01479f4228b50126767a8a11f

Aliases

arxiv: 1310.7663 · arxiv_version: 1310.7663v1 · doi: 10.48550/arxiv.1310.7663 · pith_short_12: FJUQNIMKI66J · pith_short_16: FJUQNIMKI66JRCDQ · pith_short_8: FJUQNIMK

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/FJUQNIMKI66JRCDQXKJOQL6U7I \
  | 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: 2a6906a18a47bc988870ba92e82fd4fa27416cc01479f4228b50126767a8a11f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac28f6a425c914bfc0b9a3807206191a1737dc65f90b6c395980a89a044db770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-29T02:09:10Z",
    "title_canon_sha256": "376278793a6eb8b3bd5234ad390562a83b5fcf6e6dd0682e093c41e175687e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7663",
    "kind": "arxiv",
    "version": 1
  }
}