Pith Number

pith:KITJPNVY

pith:2010:KITJPNVYMSVPUEFAWYAR52GKGT

not attested not anchored not stored refs pending

Reduction of the Hall-Paige conjecture to sporadic simple groups

Stewart Wilcox

arxiv:1010.1323 v1 · 2010-10-07 · 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{KITJPNVYMSVPUEFAWYAR52GKGT}

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	2026-05-18T04:39:41.414138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

522697b6b864aafa10a0b6011ee8ca34e8a00e5c69e5dbacd4fe1809b303275e

Aliases

arxiv: 1010.1323 · arxiv_version: 1010.1323v1 · doi: 10.48550/arxiv.1010.1323 · pith_short_12: KITJPNVYMSVP · pith_short_16: KITJPNVYMSVPUEFA · pith_short_8: KITJPNVY

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/KITJPNVYMSVPUEFAWYAR52GKGT \
  | 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: 522697b6b864aafa10a0b6011ee8ca34e8a00e5c69e5dbacd4fe1809b303275e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e57b3ec556ade1a38451505e414d06e2b8ec8681fea7f915d62785fd9f066d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-07T04:03:11Z",
    "title_canon_sha256": "2041d011973bc6980b53fdd7a60c7d616739989c85da98aca158a8a303a50666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1323",
    "kind": "arxiv",
    "version": 1
  }
}