Pith Number

pith:MBYEOGG6

pith:2016:MBYEOGG6HQ3SMRGKW4XUWFMQ3Q

not attested not anchored not stored refs pending

Basic sets for the double covering groups of the symmetric and alternating groups in odd characteristic

Jean-Baptiste Gramain, Olivier Brunat

arxiv:1606.02631 v1 · 2016-06-08 · math.RT · math.CO · 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{MBYEOGG6HQ3SMRGKW4XUWFMQ3Q}

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	2026-05-18T01:12:40.957523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60704718de3c372644cab72f4b1590dc3dfbdb3626018099d554ae120b77d9ef

Aliases

arxiv: 1606.02631 · arxiv_version: 1606.02631v1 · doi: 10.48550/arxiv.1606.02631 · pith_short_12: MBYEOGG6HQ3S · pith_short_16: MBYEOGG6HQ3SMRGK · pith_short_8: MBYEOGG6

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/MBYEOGG6HQ3SMRGKW4XUWFMQ3Q \
  | 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: 60704718de3c372644cab72f4b1590dc3dfbdb3626018099d554ae120b77d9ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fe07e6843c0fb63fa95a75902654c1513df11703b4082acbf01c4d5066cde38",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-08T16:42:20Z",
    "title_canon_sha256": "9cdd73d6af1da05439df6bb9b2893edb535642331c3d86211b70cfb50137c65d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02631",
    "kind": "arxiv",
    "version": 1
  }
}