Pith Number

pith:7EYTW5GI

pith:2019:7EYTW5GINQZZMETWG6ZZTOTJWZ

not attested not anchored not stored refs pending

Strongly compact cardinals and the continuum function

Arthur W. Apter, Stamatis Dimopoulos, Toshimichi Usuba

arxiv:1901.05313 v3 · 2019-01-16 · 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{7EYTW5GINQZZMETWG6ZZTOTJWZ}

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	2026-05-17T23:56:04.928541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9313b74c86c3396127637b399ba69b67defb21d30b12fc7a988af381b1779a5

Aliases

arxiv: 1901.05313 · arxiv_version: 1901.05313v3 · doi: 10.48550/arxiv.1901.05313 · pith_short_12: 7EYTW5GINQZZ · pith_short_16: 7EYTW5GINQZZMETW · pith_short_8: 7EYTW5GI

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/7EYTW5GINQZZMETWG6ZZTOTJWZ \
  | 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: f9313b74c86c3396127637b399ba69b67defb21d30b12fc7a988af381b1779a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8681e4965a8cb50943f997df15b7819e2523a65f93c22dcce8026e2741c5f4de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-01-16T14:35:24Z",
    "title_canon_sha256": "825c1744cbcc9a857af08d2d332c023ba24008c71eb292e8a08d6cc336a042a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05313",
    "kind": "arxiv",
    "version": 3
  }
}