Pith Number

pith:E4F5DFRS

pith:2018:E4F5DFRSSR4LGRBQ26W6DESRP6

not attested not anchored not stored refs pending

The Ultrapower Axiom and the equivalence between strong compactness and supercompactness

Gabriel Goldberg

arxiv:1810.05058 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{E4F5DFRSSR4LGRBQ26W6DESRP6}

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	2026-05-18T00:03:35.066474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

270bd196329478b34430d7ade192517fbd5c2f7ee55a608f1befa447aa6403fc

Aliases

arxiv: 1810.05058 · arxiv_version: 1810.05058v1 · doi: 10.48550/arxiv.1810.05058 · pith_short_12: E4F5DFRSSR4L · pith_short_16: E4F5DFRSSR4LGRBQ · pith_short_8: E4F5DFRS

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/E4F5DFRSSR4LGRBQ26W6DESRP6 \
  | 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: 270bd196329478b34430d7ade192517fbd5c2f7ee55a608f1befa447aa6403fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f8fc21eb9839bc96fc92fb03ed1b0ee063d0d9022a7a6528a49f9a6c96cd99",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-10-09T22:16:47Z",
    "title_canon_sha256": "4715e98712043ca4ccf70ce1cf6ad9a369cc0ca3581cfca4c0f7fc78c1fdd0eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05058",
    "kind": "arxiv",
    "version": 1
  }
}