pith. sign in
Pith Number

pith:Z5YAUMMM

pith:2016:Z5YAUMMMSKFFI2MEVQMXUVLWPX
not attested not anchored not stored refs pending

Formal Proof of the Weak Goodstein Theorem

Jean-Raymond Abrial

arxiv:1701.01673 v1 · 2016-11-29 · cs.SE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z5YAUMMMSKFFI2MEVQMXUVLWPX}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T00:53:16.252381Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf700a318c928a546984ac197a55767dd09f5c130f86366f057f7d74f93a5542

Aliases

arxiv: 1701.01673 · arxiv_version: 1701.01673v1 · doi: 10.48550/arxiv.1701.01673 · pith_short_12: Z5YAUMMMSKFF · pith_short_16: Z5YAUMMMSKFFI2ME · pith_short_8: Z5YAUMMM
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z5YAUMMMSKFFI2MEVQMXUVLWPX \
  | 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: cf700a318c928a546984ac197a55767dd09f5c130f86366f057f7d74f93a5542
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8f2be87e2bca722f9cc0a4a58ec662867708d4897516c0155d6dd1cf1ede71a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SE",
    "submitted_at": "2016-11-29T11:00:40Z",
    "title_canon_sha256": "863e5a0fc1854b439b97155db8b2e0619fbd9611e16e3203c002144584a6ab43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01673",
    "kind": "arxiv",
    "version": 1
  }
}