Pith Number

pith:LJLWGSXH

pith:2015:LJLWGSXHDUWZPHMVLNBCHDNZ56

not attested not anchored not stored refs pending

Affine Algebras with Arbitrary Simple Modules

Be'eri Greenfeld

arxiv:1512.04969 v1 · 2015-12-15 · 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{LJLWGSXHDUWZPHMVLNBCHDNZ56}

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	2026-05-18T01:24:13.882312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a57634ae71d2d979d955b42238db9ef978dc0f5fb11fd470d6ad4b9b9b3e9a3

Aliases

arxiv: 1512.04969 · arxiv_version: 1512.04969v1 · doi: 10.48550/arxiv.1512.04969 · pith_short_12: LJLWGSXHDUWZ · pith_short_16: LJLWGSXHDUWZPHMV · pith_short_8: LJLWGSXH

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/LJLWGSXHDUWZPHMVLNBCHDNZ56 \
  | 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: 5a57634ae71d2d979d955b42238db9ef978dc0f5fb11fd470d6ad4b9b9b3e9a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d7418e79be2ac0d21786aa9f9426491ab9062e4c8354289076d56c825c4c85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-15T21:19:38Z",
    "title_canon_sha256": "13ef3d922f7231ac7aaf453c72ab9f0b67b3276d81b01e9b0ba22598c3a4ad73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04969",
    "kind": "arxiv",
    "version": 1
  }
}