Pith Number

pith:MC4CMEZE

pith:1993:MC4CMEZEFZFQSUUZNTRNKEEVTI

not attested not anchored not stored refs pending

On coherent systems of projections for aleph_1 separable groups

Alan H. Mekler, Paul C. Eklof, Saharon Shelah

arxiv:math/9308213 v1 · 1993-08-15 · 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{MC4CMEZEFZFQSUUZNTRNKEEVTI}

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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	2026-05-18T01:05:51.980907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60b82613242e4b0952996ce2d510959a13e0cf1b30c0a573136df9fa78af7f47

Aliases

arxiv: math/9308213 · arxiv_version: math/9308213v1 · doi: 10.48550/arxiv.math/9308213 · pith_short_12: MC4CMEZEFZFQ · pith_short_16: MC4CMEZEFZFQSUUZ · pith_short_8: MC4CMEZE

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/MC4CMEZEFZFQSUUZNTRNKEEVTI \
  | 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: 60b82613242e4b0952996ce2d510959a13e0cf1b30c0a573136df9fa78af7f47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc27b4eb3df8ddd8f34047cc4bd368f6eedf267fd680e41a1a76dfa07388d277",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1993-08-15T00:00:00Z",
    "title_canon_sha256": "9881a3e4ee2d95210d64f6cfaa6c5ecbce9b6514771ee3f374c6c57cab09a7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9308213",
    "kind": "arxiv",
    "version": 1
  }
}