Pith Number

pith:NO3PSFZG

pith:1995:NO3PSFZGXV3XJUOAOMLTBTXWVM

not attested not anchored not stored refs pending

On the strong equality between supercompactness and strong compactness

Arthur Apter, Saharon Shelah

arxiv:math/9502232 v1 · 1995-02-15 · 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{NO3PSFZGXV3XJUOAOMLTBTXWVM}

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	2026-05-18T01:05:50.444246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bb6f91726bd7774d1c0731730cef6ab24b6ba1f93e9a8daae2214110454c5dd

Aliases

arxiv: math/9502232 · arxiv_version: math/9502232v1 · doi: 10.48550/arxiv.math/9502232 · pith_short_12: NO3PSFZGXV3X · pith_short_16: NO3PSFZGXV3XJUOA · pith_short_8: NO3PSFZG

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/NO3PSFZGXV3XJUOAOMLTBTXWVM \
  | 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: 6bb6f91726bd7774d1c0731730cef6ab24b6ba1f93e9a8daae2214110454c5dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf6fd7f6b3b50f793c3b38e47d20ee7d6333a6d5383b1fc3a25391ac85c771b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1995-02-15T00:00:00Z",
    "title_canon_sha256": "794876b1289c3156e108ad1c2bdbeb2ef344642d33ab0132d42a88798efd260e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9502232",
    "kind": "arxiv",
    "version": 1
  }
}