Pith Number

pith:QZKMCHBJ

pith:2014:QZKMCHBJTRDG4W2KGQLTWPMEI4

not attested not anchored not stored refs pending

Brou\'e's perfect isometry conjecture holds for the double covers of the symmetric and alternating groups

Michael Livesey

arxiv:1408.4709 v2 · 2014-08-20 · 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{QZKMCHBJTRDG4W2KGQLTWPMEI4}

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	2026-05-18T02:32:45.859611Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8654c11c299c466e5b4a34173b3d84472eb68cfff4fbffdd17f4a174353b491b

Aliases

arxiv: 1408.4709 · arxiv_version: 1408.4709v2 · doi: 10.48550/arxiv.1408.4709 · pith_short_12: QZKMCHBJTRDG · pith_short_16: QZKMCHBJTRDG4W2K · pith_short_8: QZKMCHBJ

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/QZKMCHBJTRDG4W2KGQLTWPMEI4 \
  | 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: 8654c11c299c466e5b4a34173b3d84472eb68cfff4fbffdd17f4a174353b491b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b12cb21ceea059153c05b94897e6c281e2cc0cd7e63d4c73b39d407dfe27b84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-08-20T15:58:24Z",
    "title_canon_sha256": "e226b1e3d97d7c8cd1eb6b882b133d022b4b43b04193dcb7b29e33c5de7962d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4709",
    "kind": "arxiv",
    "version": 2
  }
}