Pith Number

pith:XZ6RWMGF

pith:1998:XZ6RWMGFLL4KWDZX3HOPCRD5M5

not attested not anchored not stored refs pending

More on cardinal invariants of Boolean algebras

Andrzej Roslanowski, Saharon Shelah

arxiv:math/9808056 v1 · 1998-08-12 · math.LO · math.GN · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XZ6RWMGFLL4KWDZX3HOPCRD5M5}

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	2026-05-18T03:37:27.213137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7d1b30c55af8ab0f37d9dcf1447d6740e47baf546a6e4a8bb99eb99a89de21

Aliases

arxiv: math/9808056 · arxiv_version: math/9808056v1 · doi: 10.48550/arxiv.math/9808056 · pith_short_12: XZ6RWMGFLL4K · pith_short_16: XZ6RWMGFLL4KWDZX · pith_short_8: XZ6RWMGF

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/XZ6RWMGFLL4KWDZX3HOPCRD5M5 \
  | 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: be7d1b30c55af8ab0f37d9dcf1447d6740e47baf546a6e4a8bb99eb99a89de21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2021cae417334423227c03a08f6205a21287ac897c485d0feb6a677f4d0b85cd",
    "cross_cats_sorted": [
      "math.GN",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1998-08-12T22:13:42Z",
    "title_canon_sha256": "c85b0c37b1f229ab536e3839fa0fdebd4f60026f19f01236dda8991ea819ec91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9808056",
    "kind": "arxiv",
    "version": 1
  }
}