Pith Number

pith:5CEO72DM

pith:2015:5CEO72DMYUJOPNH5OQA5VSVJDI

not attested not anchored not stored refs pending

On the Prime Graph Question for Almost Simple Groups with an Alternating Socle

Andreas B\"achle, Mauricio Caicedo

arxiv:1510.04598 v2 · 2015-10-15 · math.GR · 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{5CEO72DMYUJOPNH5OQA5VSVJDI}

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	2026-05-18T00:41:46.650944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e888efe86cc512e7b4fd7401dacaa91a3b0d5788161af2336da54ca8958ed9ea

Aliases

arxiv: 1510.04598 · arxiv_version: 1510.04598v2 · doi: 10.48550/arxiv.1510.04598 · pith_short_12: 5CEO72DMYUJO · pith_short_16: 5CEO72DMYUJOPNH5 · pith_short_8: 5CEO72DM

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/5CEO72DMYUJOPNH5OQA5VSVJDI \
  | 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: e888efe86cc512e7b4fd7401dacaa91a3b0d5788161af2336da54ca8958ed9ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "250c11f0d1398a80cd356808fffce10536728c7a401a6fa6f28089d7961c65c8",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-10-15T15:54:38Z",
    "title_canon_sha256": "38b627e0a1601c8b898ec92f6d73d9ae69169190c8bc0ecb73a2b8e425bda72f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04598",
    "kind": "arxiv",
    "version": 2
  }
}