Pith Number

pith:QQX45EEC

pith:2011:QQX45EEC3V2M5FJVCJP5UZSYW5

not attested not anchored not stored refs pending

What is the theory ZFC without power set?

Joel David Hamkins, Thomas A. Johnstone, Victoria Gitman

arxiv:1110.2430 v2 · 2011-10-11 · 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{QQX45EEC3V2M5FJVCJP5UZSYW5}

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	2026-05-18T01:35:57.735747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842fce9082dd74ce9535125fda6658b755508c311b7f88ffc0ae729ece39dcb6

Aliases

arxiv: 1110.2430 · arxiv_version: 1110.2430v2 · doi: 10.48550/arxiv.1110.2430 · pith_short_12: QQX45EEC3V2M · pith_short_16: QQX45EEC3V2M5FJV · pith_short_8: QQX45EEC

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/QQX45EEC3V2M5FJVCJP5UZSYW5 \
  | 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: 842fce9082dd74ce9535125fda6658b755508c311b7f88ffc0ae729ece39dcb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64335e624eae52276f1ccac1af28874f958baf04c806f70217ad790f403d5d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-10-11T16:56:09Z",
    "title_canon_sha256": "fc1b3e032de1f2d7cb0cd8889afb9e54611d7c9de8a14d34d05b651de7c0eaef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2430",
    "kind": "arxiv",
    "version": 2
  }
}