Pith Number

pith:WFTFOBSW

pith:2017:WFTFOBSWYOBM5ZSEK57PFQ76AG

not attested not anchored not stored refs pending

Strong Compactness and the Ultrapower Axiom

Gabriel Goldberg

arxiv:1710.03586 v1 · 2017-10-10 · 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{WFTFOBSWYOBM5ZSEK57PFQ76AG}

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	2026-05-18T00:33:11.328485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b166570656c382cee644577ef2c3fe019d19ae7408e81697104d00bef78436f3

Aliases

arxiv: 1710.03586 · arxiv_version: 1710.03586v1 · doi: 10.48550/arxiv.1710.03586 · pith_short_12: WFTFOBSWYOBM · pith_short_16: WFTFOBSWYOBM5ZSE · pith_short_8: WFTFOBSW

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/WFTFOBSWYOBM5ZSEK57PFQ76AG \
  | 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: b166570656c382cee644577ef2c3fe019d19ae7408e81697104d00bef78436f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56c1dc451494075c3a5854cf659992ab31b6ef98480a99b349ab52312da0af5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-10-10T13:40:02Z",
    "title_canon_sha256": "781c648fec775bea009057cacaad35dbabe7f9b7882b94768d3fc81fa5b8a31f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03586",
    "kind": "arxiv",
    "version": 1
  }
}