Pith Number

pith:Q3S2N6GI

pith:1992:Q3S2N6GIK723MGFIPJVSX3HQKG

not attested not anchored not stored refs pending

The universality spectrum of stable unsuperstable theories

Menachem Kojman, Saharon Shelah

arxiv:math/9201253 v1 · 1992-01-15 · 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{Q3S2N6GIK723MGFIPJVSX3HQKG}

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	2026-05-18T01:05:54.647137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86e5a6f8c857f5b618a87a6b2becf0518dabcaa85f76268dcfea62681ed4a81b

Aliases

arxiv: math/9201253 · arxiv_version: math/9201253v1 · doi: 10.48550/arxiv.math/9201253 · pith_short_12: Q3S2N6GIK723 · pith_short_16: Q3S2N6GIK723MGFI · pith_short_8: Q3S2N6GI

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/Q3S2N6GIK723MGFIPJVSX3HQKG \
  | 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: 86e5a6f8c857f5b618a87a6b2becf0518dabcaa85f76268dcfea62681ed4a81b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de93551ca6792d18fe71ba3cf68d150e6c683de683121698c45acd09496add9e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1992-01-15T00:00:00Z",
    "title_canon_sha256": "a927b2ec1d4b81986e8f63eee922a3b2a1ac536384aef8aff786c4ebeeafcf5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9201253",
    "kind": "arxiv",
    "version": 1
  }
}