Pith Number

pith:T7WOMNGH

pith:2019:T7WOMNGHETRZDZ22GOSFAKUBOO

not attested not anchored not stored refs pending

Predicatively unprovable termination of the Ackermannian Goodstein process

Andreas Weiermann, David Fern\'andez-Duque, Stanley Wainer, Toshiyasu Arai

arxiv:1906.00020 v1 · 2019-05-31 · 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{T7WOMNGHETRZDZ22GOSFAKUBOO}

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	2026-05-17T23:44:33.693132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fece634c724e391e75a33a4502a8173bebace2f7d53d20ee3afa9e5c4baa7f9

Aliases

arxiv: 1906.00020 · arxiv_version: 1906.00020v1 · doi: 10.48550/arxiv.1906.00020 · pith_short_12: T7WOMNGHETRZ · pith_short_16: T7WOMNGHETRZDZ22 · pith_short_8: T7WOMNGH

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/T7WOMNGHETRZDZ22GOSFAKUBOO \
  | 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: 9fece634c724e391e75a33a4502a8173bebace2f7d53d20ee3afa9e5c4baa7f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10955c5f4133f2ceaf03edafb5bf03161dbb78b7aa4754f155fa169cbc56a00c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-05-31T18:12:18Z",
    "title_canon_sha256": "5fe2991c674b111c55c2b131fcbb7cdf4ba5bdf6716e08f25a915b02c876f300"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00020",
    "kind": "arxiv",
    "version": 1
  }
}