Pith Number

pith:JMPORVIF

pith:1998:JMPORVIFR5XDTGEDR4DQTQU4QP

not attested not anchored not stored refs pending

The distributivity numbers of finite products of P(omega) /fin

Otmar Spinas, Saharon Shelah

arxiv:math/9801151 v1 · 1998-01-15 · 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{JMPORVIFR5XDTGEDR4DQTQU4QP}

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	2026-05-18T01:05:34.350786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b1ee8d5058f6e3998838f0709c29c83dcc3a97f75c83e2d76ecf422fee4819f

Aliases

arxiv: math/9801151 · arxiv_version: math/9801151v1 · doi: 10.48550/arxiv.math/9801151 · pith_short_12: JMPORVIFR5XD · pith_short_16: JMPORVIFR5XDTGED · pith_short_8: JMPORVIF

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/JMPORVIFR5XDTGEDR4DQTQU4QP \
  | 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: 4b1ee8d5058f6e3998838f0709c29c83dcc3a97f75c83e2d76ecf422fee4819f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df222e854300313224ce272adbe2dcdf8c6d98ed18dde260cca6836dddde32f9",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1998-01-15T00:00:00Z",
    "title_canon_sha256": "0ea31d3e85ebdf270fb50fddf26b50e57e2c336e4312bf5e63c7dd889d9fe101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801151",
    "kind": "arxiv",
    "version": 1
  }
}