Pith Number

pith:GKSELHJI

pith:2011:GKSELHJIBD4AH36LRNJBVFG2XC

not attested not anchored not stored refs pending

Inner models with large cardinal features usually obtained by forcing

Arthur Apter, Joel David Hamkins, Victoria Gitman

arxiv:1111.0856 v1 · 2011-11-03 · 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{GKSELHJIBD4AH36LRNJBVFG2XC}

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	2026-05-18T04:09:36.818106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a4459d2808f803efcb8b521a94dab89c2781295902fb2346e481e8b7aba042

Aliases

arxiv: 1111.0856 · arxiv_version: 1111.0856v1 · doi: 10.48550/arxiv.1111.0856 · pith_short_12: GKSELHJIBD4A · pith_short_16: GKSELHJIBD4AH36L · pith_short_8: GKSELHJI

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/GKSELHJIBD4AH36LRNJBVFG2XC \
  | 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: 32a4459d2808f803efcb8b521a94dab89c2781295902fb2346e481e8b7aba042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6b3e62d5fdc2acf0ddbda40256295c4cf4bdbcf723a1b7ec06e321f7eff6d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-11-03T14:42:04Z",
    "title_canon_sha256": "8f57b8114cf4ed01915c53b5013326cf706d2809325272cb1850d6818e94d15d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0856",
    "kind": "arxiv",
    "version": 1
  }
}