Pith Number

pith:YS2PJYOM

pith:2012:YS2PJYOMEXQ2CTBKIBU4GU3ZXL

not attested not anchored not stored refs pending

The ultrafilter number for singular cardinals

Saharon Shelah, Shimon Garti

arxiv:1201.1713 v2 · 2012-01-09 · 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{YS2PJYOMEXQ2CTBKIBU4GU3ZXL}

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	2026-05-18T03:41:20.303393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4b4f4e1cc25e1a14c2a4069c35379bac0ec43694af67698bae0093e6c6f64ef

Aliases

arxiv: 1201.1713 · arxiv_version: 1201.1713v2 · doi: 10.48550/arxiv.1201.1713 · pith_short_12: YS2PJYOMEXQ2 · pith_short_16: YS2PJYOMEXQ2CTBK · pith_short_8: YS2PJYOM

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/YS2PJYOMEXQ2CTBKIBU4GU3ZXL \
  | 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: c4b4f4e1cc25e1a14c2a4069c35379bac0ec43694af67698bae0093e6c6f64ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f22b6be0e6ab08b02e6cfb4c648c659fae6e1c5bbeccd1440ee6380d055d662",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-09T09:12:51Z",
    "title_canon_sha256": "77f24c43f990fb3a07302ddf3381001721062a09942d23e9fca9f8715ae6a55a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1713",
    "kind": "arxiv",
    "version": 2
  }
}