Pith Number

pith:AHQ5GFMV

pith:2018:AHQ5GFMVVYTJXF47BOOSM2AJQJ

not attested not anchored not stored refs pending

A negative answer to a question of Aschbacher

Robert A. Wilson

arxiv:1804.05648 v2 · 2018-04-16 · 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{AHQ5GFMVVYTJXF47BOOSM2AJQJ}

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	2026-05-18T00:08:35.818927Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e1d31595ae269b979f0b9d266809825965ac410a4443af8e1e34c2c39ba749

Aliases

arxiv: 1804.05648 · arxiv_version: 1804.05648v2 · doi: 10.48550/arxiv.1804.05648 · pith_short_12: AHQ5GFMVVYTJ · pith_short_16: AHQ5GFMVVYTJXF47 · pith_short_8: AHQ5GFMV

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/AHQ5GFMVVYTJXF47BOOSM2AJQJ \
  | 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: 01e1d31595ae269b979f0b9d266809825965ac410a4443af8e1e34c2c39ba749

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429ea24fb0a7d988ff9321891c59f8a931ce27416da0a81c81dce2e3bf76cb1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-16T13:04:16Z",
    "title_canon_sha256": "305af14d46d3337409288cb67bc89075192c0b27662808e93ce4318e07fc22cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05648",
    "kind": "arxiv",
    "version": 2
  }
}