Pith Number

pith:JOZ5B72X

pith:1992:JOZ5B72XH4LD2NMSUSBEUU5LV5

not attested not anchored not stored refs pending

Uniformization and the diversity of Whitehead groups

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

arxiv:math/9204219 v1 · 1992-04-15 · 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{JOZ5B72XH4LD2NMSUSBEUU5LV5}

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	2026-05-18T01:05:52.898904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb3d0ff573f163d3592a4824a53abaf4e140ac2e3607274d40fd625cbd287cc

Aliases

arxiv: math/9204219 · arxiv_version: math/9204219v1 · doi: 10.48550/arxiv.math/9204219 · pith_short_12: JOZ5B72XH4LD · pith_short_16: JOZ5B72XH4LD2NMS · pith_short_8: JOZ5B72X

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/JOZ5B72XH4LD2NMSUSBEUU5LV5 \
  | 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: 4bb3d0ff573f163d3592a4824a53abaf4e140ac2e3607274d40fd625cbd287cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28390d712fd2ee5e010eb2e0e75369bf404001b844aba3c2664abc4f2a0a84f1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1992-04-15T00:00:00Z",
    "title_canon_sha256": "6c64d759c28bed03b3c37e9e50ca132dfb589f308cc8c9ed57ddfb4020038c91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9204219",
    "kind": "arxiv",
    "version": 1
  }
}