Pith Number

pith:6GBSGAKC

pith:1997:6GBSGAKCMOD2YDV2RRT723OMDY

not attested not anchored not stored refs pending

Cardinal invariants of ultrapoducts of Boolean algebras

Andrzej Ros{\l}anowski, Saharon Shelah

arxiv:math/9703218 v1 · 1997-03-15 · math.LO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6GBSGAKCMOD2YDV2RRT723OMDY}

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	2026-05-18T01:05:37.023512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1832301426387ac0eba8c67fd6dcc1e20b46429d3a06c35247b5eef9cadf63d

Aliases

arxiv: math/9703218 · arxiv_version: math/9703218v1 · doi: 10.48550/arxiv.math/9703218 · pith_short_12: 6GBSGAKCMOD2 · pith_short_16: 6GBSGAKCMOD2YDV2 · pith_short_8: 6GBSGAKC

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/6GBSGAKCMOD2YDV2RRT723OMDY \
  | 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: f1832301426387ac0eba8c67fd6dcc1e20b46429d3a06c35247b5eef9cadf63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2641b7ca27f7670f0c0f9015e996ade170c761b6eb7a9b55171e34f5056aa8",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1997-03-15T00:00:00Z",
    "title_canon_sha256": "57aa88e69b9519cd4d4cd719cb3bda02822eb05f10507919dd9dbc55b898c0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9703218",
    "kind": "arxiv",
    "version": 1
  }
}