Pith Number

pith:JBZ5GYUC

pith:2025:JBZ5GYUC3SNIP6QCB77EQFMNHO

not attested not anchored not stored refs pending

Extendible cardinals, and Laver-generic large cardinal axioms for extendibility

Saka\'e Fuchino

arxiv:2506.03572 v2 · 2025-06-04 · 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{JBZ5GYUC3SNIP6QCB77EQFMNHO}

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	2026-07-05T11:26:52.245639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4873d36282dc9a87fa020ffe48158d3b8007d140b260da50db4e949871579c5b

Aliases

arxiv: 2506.03572 · arxiv_version: 2506.03572v2 · doi: 10.48550/arxiv.2506.03572 · pith_short_12: JBZ5GYUC3SNI · pith_short_16: JBZ5GYUC3SNIP6QC · pith_short_8: JBZ5GYUC

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/JBZ5GYUC3SNIP6QCB77EQFMNHO \
  | 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: 4873d36282dc9a87fa020ffe48158d3b8007d140b260da50db4e949871579c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db8c0a16388c90131930df166795115f195a7bb124e59af0b9c2bab89ccc3a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-06-04T04:39:33Z",
    "title_canon_sha256": "5747880ca8e85d40f5f4890d4219ebaafb543f1fdb2192184ef407e4c00a1790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03572",
    "kind": "arxiv",
    "version": 2
  }
}