Pith Number

pith:KKYSVDUX

pith:2017:KKYSVDUXKLFOZKFCUNGVNSDVGX

not attested not anchored not stored refs pending

A strong failure of aleph_0-stability for atomic classes

Michael C. Laskowski, Saharon Shelah

arxiv:1701.05474 v1 · 2017-01-19 · 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{KKYSVDUXKLFOZKFCUNGVNSDVGX}

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	2026-05-18T00:52:29.767377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b12a8e9752caeca8a2a34d56c87535d29ebf97784087fbea62cc02db011dc5

Aliases

arxiv: 1701.05474 · arxiv_version: 1701.05474v1 · doi: 10.48550/arxiv.1701.05474 · pith_short_12: KKYSVDUXKLFO · pith_short_16: KKYSVDUXKLFOZKFC · pith_short_8: KKYSVDUX

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/KKYSVDUXKLFOZKFCUNGVNSDVGX \
  | 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: 52b12a8e9752caeca8a2a34d56c87535d29ebf97784087fbea62cc02db011dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d37c9d1a50bc78184b554f2214cb3cb5966fc12c148cabf6ba22a4d9ced3885",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-01-19T15:32:49Z",
    "title_canon_sha256": "8c63447fede5cd036327c27429452acc033cccc280db179bc0d4369764b87461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.05474",
    "kind": "arxiv",
    "version": 1
  }
}