Pith Number

pith:ZNROUE3I

pith:2010:ZNROUE3IGYEUOIPNYBHZWS57Z3

not attested not anchored not stored refs pending

Notes on cardinals that are characterizable by a complete (Scott) sentence

Ioannis Souldatos

arxiv:1007.2426 v3 · 2010-07-14 · 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{ZNROUE3IGYEUOIPNYBHZWS57Z3}

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	2026-05-18T01:21:05.933709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb62ea136836094721edc04f9b4bbfcec22ccaea20724e6f50a62b7c71ca7447

Aliases

arxiv: 1007.2426 · arxiv_version: 1007.2426v3 · doi: 10.48550/arxiv.1007.2426 · pith_short_12: ZNROUE3IGYEU · pith_short_16: ZNROUE3IGYEUOIPN · pith_short_8: ZNROUE3I

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/ZNROUE3IGYEUOIPNYBHZWS57Z3 \
  | 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: cb62ea136836094721edc04f9b4bbfcec22ccaea20724e6f50a62b7c71ca7447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f784d198d16d0aeca1916cd33579826fd8bae30b9056ce5acc5af1cae13a21bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2010-07-14T20:33:03Z",
    "title_canon_sha256": "cac764c1d227421ebaaf79c727a38c20d5d846e0c9f4645efcbd423eb774b8b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2426",
    "kind": "arxiv",
    "version": 3
  }
}