Pith Number

pith:A5UGZHFE

pith:1992:A5UGZHFEUCQOOIBOXGJKWOZ7H4

not attested not anchored not stored refs pending

Many simple cardinal invariants

Martin Goldstern, Saharon Shelah

arxiv:math/9205208 v1 · 1992-05-15 · 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{A5UGZHFEUCQOOIBOXGJKWOZ7H4}

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	2026-05-18T01:05:52.769713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07686c9ca4a0a0e7202eb992ab3b3f3f037f70f3ba4a8fd3bdd3a51f647c8674

Aliases

arxiv: math/9205208 · arxiv_version: math/9205208v1 · doi: 10.48550/arxiv.math/9205208 · pith_short_12: A5UGZHFEUCQO · pith_short_16: A5UGZHFEUCQOOIBO · pith_short_8: A5UGZHFE

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/A5UGZHFEUCQOOIBOXGJKWOZ7H4 \
  | 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: 07686c9ca4a0a0e7202eb992ab3b3f3f037f70f3ba4a8fd3bdd3a51f647c8674

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e76a436cc17b46ec6621778c7663b3afcda56e61d327e52045d6497b41be0e2c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1992-05-15T00:00:00Z",
    "title_canon_sha256": "c4b86737465f084833eff5ccd404125a758cc4814a52efb3d98dc2a3e3017b2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9205208",
    "kind": "arxiv",
    "version": 1
  }
}