Pith Number

pith:F5ZMBHMV

pith:2013:F5ZMBHMVBMNSJXFTHIYIOYJB4I

not attested not anchored not stored refs pending

Superstrong and other large cardinals are never Laver indestructible

Joan Bagaria, Joel David Hamkins, Konstantinos Tsaprounis, Toshimichi Usuba

arxiv:1307.3486 v2 · 2013-07-12 · 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{F5ZMBHMVBMNSJXFTHIYIOYJB4I}

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	2026-05-18T02:55:49.846009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f72c09d950b1b24dcb33a30876121e230baa3e24bfd3a61725978b08282c674

Aliases

arxiv: 1307.3486 · arxiv_version: 1307.3486v2 · doi: 10.48550/arxiv.1307.3486 · pith_short_12: F5ZMBHMVBMNS · pith_short_16: F5ZMBHMVBMNSJXFT · pith_short_8: F5ZMBHMV

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/F5ZMBHMVBMNSJXFTHIYIOYJB4I \
  | 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: 2f72c09d950b1b24dcb33a30876121e230baa3e24bfd3a61725978b08282c674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866f3f791cd492809bc8fb2b5cd6e5f5636e307df68f02388b3273ba7fc034d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-07-12T15:19:07Z",
    "title_canon_sha256": "1ec30a364d297538bd3cceb9f609cecbdad0e1d1d0914865852b40bd9c2bf3f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3486",
    "kind": "arxiv",
    "version": 2
  }
}