Pith Number

pith:BTUXALA6

pith:2018:BTUXALA673PPC2FH46LP5YVWWG

not attested not anchored not stored refs pending

The Rudin-Frolik order and the Ultrapower Axiom

Gabriel Goldberg

arxiv:1810.04288 v1 · 2018-10-09 · 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{BTUXALA673PPC2FH46LP5YVWWG}

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	2026-05-18T00:03:40.541135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ce9702c1efedef168a7e796fee2b6b1980543182c903ec00b0f54dbedb7c606

Aliases

arxiv: 1810.04288 · arxiv_version: 1810.04288v1 · doi: 10.48550/arxiv.1810.04288 · pith_short_12: BTUXALA673PP · pith_short_16: BTUXALA673PPC2FH · pith_short_8: BTUXALA6

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/BTUXALA673PPC2FH46LP5YVWWG \
  | 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: 0ce9702c1efedef168a7e796fee2b6b1980543182c903ec00b0f54dbedb7c606

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a424d4d8b778a6f3c57eb5771e919330db3a150b42f3480312dfd5b19a89fa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-10-09T22:40:38Z",
    "title_canon_sha256": "1bea83c321358c7abd4daab666382cfd1d254bfbc0d46c05c411e42904bf94f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.04288",
    "kind": "arxiv",
    "version": 1
  }
}