Pith Number

pith:MND7AHQX

pith:1998:MND7AHQXJZGRXBMFS3ENLSTKDA

not attested not anchored not stored refs pending

On the p-rank of Ext

Alan H. Mekler, Andrzej Ros{\l}anowski, Saharon Shelah

arxiv:math/9806165 v1 · 1998-06-15 · 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{MND7AHQXJZGRXBMFS3ENLSTKDA}

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	2026-05-18T03:37:27.226909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6347f01e174e4d1b858596c8d5ca6a1825dd9c5e540478a4d26ee94984a6685b

Aliases

arxiv: math/9806165 · arxiv_version: math/9806165v1 · doi: 10.48550/arxiv.math/9806165 · pith_short_12: MND7AHQXJZGR · pith_short_16: MND7AHQXJZGRXBMF · pith_short_8: MND7AHQX

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/MND7AHQXJZGRXBMFS3ENLSTKDA \
  | 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: 6347f01e174e4d1b858596c8d5ca6a1825dd9c5e540478a4d26ee94984a6685b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c09b72c0060e83ffe54f014a7473a041a2fa5a53f89871c374bce5ec335baa1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1998-06-15T00:00:00Z",
    "title_canon_sha256": "e064d2eb4d080b24d885d381792b2ddbadddbc7de427d88aeb28a49da5e60b6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9806165",
    "kind": "arxiv",
    "version": 1
  }
}