Pith Number

pith:V6FYJXTH

pith:2018:V6FYJXTHPEYDX437A6XVUXE3HQ

not attested not anchored not stored refs pending

The Ultrapower Axiom implies GCH above a supercompact cardinal

Gabriel Goldberg

arxiv:1810.05036 v1 · 2018-10-09 · 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{V6FYJXTHPEYDX437A6XVUXE3HQ}

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	2026-05-18T00:03:35.146295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af8b84de6779303bf37f07af5a5c9b3c0a1a1c067a2415e1ed52d9a71105e21a

Aliases

arxiv: 1810.05036 · arxiv_version: 1810.05036v1 · doi: 10.48550/arxiv.1810.05036 · pith_short_12: V6FYJXTHPEYD · pith_short_16: V6FYJXTHPEYDX437 · pith_short_8: V6FYJXTH

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/V6FYJXTHPEYDX437A6XVUXE3HQ \
  | 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: af8b84de6779303bf37f07af5a5c9b3c0a1a1c067a2415e1ed52d9a71105e21a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3baebc1bb8d61d1f1dbc7af3f4e33684898c956a43992aaacab2fd9b23e32ae0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-10-09T22:01:07Z",
    "title_canon_sha256": "5c7c5a0a0fcaee366026d2954e3818609abee4c45b1e93eb0ee358934e2b5aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05036",
    "kind": "arxiv",
    "version": 1
  }
}