Pith Number

pith:G64SHWWU

pith:2013:G64SHWWUTYSWFG7EN3EC2BVL6Z

not attested not anchored not stored refs pending

The foundation axiom and elementary self-embeddings of the universe

Ali Sadegh Daghighi, Emil Je\v{r}\'abek, Joel David Hamkins, Mohammad Golshani

arxiv:1311.0814 v2 · 2013-11-04 · 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{G64SHWWUTYSWFG7EN3EC2BVL6Z}

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	2026-05-18T02:50:13.225809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37b923dad49e25629be46ec82d06abf67e696f9b66c4e602c2499bd358de15ae

Aliases

arxiv: 1311.0814 · arxiv_version: 1311.0814v2 · doi: 10.48550/arxiv.1311.0814 · pith_short_12: G64SHWWUTYSW · pith_short_16: G64SHWWUTYSWFG7E · pith_short_8: G64SHWWU

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/G64SHWWUTYSWFG7EN3EC2BVL6Z \
  | 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: 37b923dad49e25629be46ec82d06abf67e696f9b66c4e602c2499bd358de15ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "560d25a13d3cdca3836d87f8ac1d63b0129b3207291033406f4958f347d1832e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-11-04T19:14:09Z",
    "title_canon_sha256": "8dc9f949ac6803fffc4f7d2dc4c48b8376961cc2d6add1debc53c5c7c685040d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0814",
    "kind": "arxiv",
    "version": 2
  }
}