Pith Number

pith:C5OLYKKA

pith:2024:C5OLYKKABVILLEPJB7XUSKR4RS

not attested not anchored not stored refs pending

Weak compactness cardinals for strong logics and subtlety properties of the class of ordinals

Philipp L\"ucke

arxiv:2411.17568 v3 · 2024-11-26 · 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{C5OLYKKABVILLEPJB7XUSKR4RS}

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	2026-07-05T11:06:25.239371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

175cbc29400d50b591e90fef492a3c8c822d55f1cdb6d554a680c0d47f13038b

Aliases

arxiv: 2411.17568 · arxiv_version: 2411.17568v3 · doi: 10.48550/arxiv.2411.17568 · pith_short_12: C5OLYKKABVIL · pith_short_16: C5OLYKKABVILLEPJ · pith_short_8: C5OLYKKA

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/C5OLYKKABVILLEPJB7XUSKR4RS \
  | 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: 175cbc29400d50b591e90fef492a3c8c822d55f1cdb6d554a680c0d47f13038b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb6c739596fc2b089d39f446ccb4c157e56ed2cfb7bc01db0a2f070f44bcae41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2024-11-26T16:29:55Z",
    "title_canon_sha256": "b613c2ad57a14c792c3c20794b61a0d18b175e320fdf48de68e0302c6a3fa79c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.17568",
    "kind": "arxiv",
    "version": 3
  }
}