Pith Number

pith:3FOHTTSH

pith:2025:3FOHTTSH77EABNK6BKARMS5IUQ

not attested not anchored not stored refs pending

Model-theoretic characterizations of large cardinals (Re)${}^2$visited

Jonathan Osinski, Will Boney

arxiv:2505.15574 v2 · 2025-05-21 · 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{3FOHTTSH77EABNK6BKARMS5IUQ}

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.

Cited by

1 paper in Pith

Model theory of class-sized logics

Receipt and verification

First computed	2026-06-24T01:14:57.288830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d95c79ce47ffc800b55e0a81164ba8a439fcff746643959265e6c4cbc05ea4ea

Aliases

arxiv: 2505.15574 · arxiv_version: 2505.15574v2 · doi: 10.48550/arxiv.2505.15574 · pith_short_12: 3FOHTTSH77EA · pith_short_16: 3FOHTTSH77EABNK6 · pith_short_8: 3FOHTTSH

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/3FOHTTSH77EABNK6BKARMS5IUQ \
  | 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: d95c79ce47ffc800b55e0a81164ba8a439fcff746643959265e6c4cbc05ea4ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb14f439dda81b908ebd352a51aca8f2065953aae0897a2e69eb6d5d319a30bd",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-05-21T14:27:20Z",
    "title_canon_sha256": "920f8d6ad33d5157872c996286b8d6eccb073af53ff6765e4193e9c67809f129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15574",
    "kind": "arxiv",
    "version": 2
  }
}