Pith Number

pith:QZFKNQ4Q

pith:2012:QZFKNQ4QNZQ36SIBY4CSOKWO5H

not attested not anchored not stored refs pending

Large self-injective rings and the generating hypothesis

Leigh Shepperson, Neil Strickland

arxiv:1206.0137 v2 · 2012-06-01 · math.AC · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZFKNQ4QNZQ36SIBY4CSOKWO5H}

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	2026-05-18T01:22:26.605118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864aa6c3906e61bf4901c705272acee9f9d0335beb1b048a6edd3f5d0a245f7e

Aliases

arxiv: 1206.0137 · arxiv_version: 1206.0137v2 · doi: 10.48550/arxiv.1206.0137 · pith_short_12: QZFKNQ4QNZQ3 · pith_short_16: QZFKNQ4QNZQ36SIB · pith_short_8: QZFKNQ4Q

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/QZFKNQ4QNZQ36SIBY4CSOKWO5H \
  | 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: 864aa6c3906e61bf4901c705272acee9f9d0335beb1b048a6edd3f5d0a245f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2595c815d97d536f7982b20b0867f29a7d1a197a12d4d2ba551a4b6e4c28eb42",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-01T10:07:36Z",
    "title_canon_sha256": "0d1f4792b3285b5226698ee1f6af400b8f811b39d1c10854ce536fc548f76d1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0137",
    "kind": "arxiv",
    "version": 2
  }
}