Pith Number

pith:CBBEXMBZ

pith:1994:CBBEXMBZMGPOHAGGSLWK326P5Q

not attested not anchored not stored refs pending

Almost free algebras

Alan H. Mekler, Saharon Shelah

arxiv:math/9408213 v1 · 1994-08-15 · math.LO · 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{CBBEXMBZMGPOHAGGSLWK326P5Q}

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	2026-05-18T01:05:51.162483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10424bb039619ee380c692ecadebcfec0a5e4ad941ad502bbfc7136037d76cb5

Aliases

arxiv: math/9408213 · arxiv_version: math/9408213v1 · doi: 10.48550/arxiv.math/9408213 · pith_short_12: CBBEXMBZMGPO · pith_short_16: CBBEXMBZMGPOHAGG · pith_short_8: CBBEXMBZ

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/CBBEXMBZMGPOHAGGSLWK326P5Q \
  | 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: 10424bb039619ee380c692ecadebcfec0a5e4ad941ad502bbfc7136037d76cb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9012969cdbe992be6c7bd0481d8ce6e6cc2359dbf51fe65b3cab3eaa5f35b31",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1994-08-15T00:00:00Z",
    "title_canon_sha256": "755d1ded9f3b8e7226a782c96c97ce09b36812d5868749046e3e9d50aab31f9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9408213",
    "kind": "arxiv",
    "version": 1
  }
}