Pith Number

pith:FMBGGYK3

pith:2018:FMBGGYK3WJ5FZNOZXCJCHXJ2NG

not attested not anchored not stored refs pending

Hydra games for recursively Mahlo operations

Toshiyasu Arai

arxiv:1808.04522 v1 · 2018-08-14 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMBGGYK3WJ5FZNOZXCJCHXJ2NG}

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	2026-05-18T00:08:12.262507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0263615bb27a5cb5d9b89223dd3a69b4ae9c8bab5a4dfcc97f0d83eb1e3bc0

Aliases

arxiv: 1808.04522 · arxiv_version: 1808.04522v1 · doi: 10.48550/arxiv.1808.04522 · pith_short_12: FMBGGYK3WJ5F · pith_short_16: FMBGGYK3WJ5FZNOZ · pith_short_8: FMBGGYK3

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/FMBGGYK3WJ5FZNOZXCJCHXJ2NG \
  | 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: 2b0263615bb27a5cb5d9b89223dd3a69b4ae9c8bab5a4dfcc97f0d83eb1e3bc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6db5d92f315f2ea71d1422c34304ed8dc4ef1ca2a7770a49c3a5ee93f7acb817",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-08-14T04:49:46Z",
    "title_canon_sha256": "d6cff273aa7f8d006a29ba51f88a1dd55f6c76c43f0a24306b0e27cd7872157f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04522",
    "kind": "arxiv",
    "version": 1
  }
}