Pith Number

pith:U24APF4Z

pith:2013:U24APF4ZK7JZYA7EGIN7IB3OVR

not attested not anchored not stored refs pending

Automorphisms of models of set theory and extensions of NFU

Zachiri McKenzie

arxiv:1309.4631 v2 · 2013-09-18 · 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{U24APF4ZK7JZYA7EGIN7IB3OVR}

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	2026-05-18T03:09:47.641203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b807979957d39c03e4321bf4076eac5c4c29e817de84eba3a4d18d4df2fdd0

Aliases

arxiv: 1309.4631 · arxiv_version: 1309.4631v2 · doi: 10.48550/arxiv.1309.4631 · pith_short_12: U24APF4ZK7JZ · pith_short_16: U24APF4ZK7JZYA7E · pith_short_8: U24APF4Z

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/U24APF4ZK7JZYA7EGIN7IB3OVR \
  | 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: a6b807979957d39c03e4321bf4076eac5c4c29e817de84eba3a4d18d4df2fdd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842b08c386b6e9e28cf49f90af41227e85665395c4795c895377a49bcb17eb11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-18T12:56:21Z",
    "title_canon_sha256": "fe498cc2653b9eccf326b437f6bc6282e2251c83ba1fd68e5dde140555d6b2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4631",
    "kind": "arxiv",
    "version": 2
  }
}