Pith Number

pith:WR466VAX

pith:2020:WR466VAXDJRY74KT7ZSXEL6ELI

not attested not anchored not stored refs pending

Modules with Non-Cyclic Socle and the Extension Property

Ali Assem Mahmoud

arxiv:2010.08343 v1 · 2020-09-26 · 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{WR466VAXDJRY74KT7ZSXEL6ELI}

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	2026-07-05T01:43:34.132876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b479ef54171a638ff153fe65722fc45a39a15f6768ca02ab649b8c3b0e214173

Aliases

arxiv: 2010.08343 · arxiv_version: 2010.08343v1 · doi: 10.48550/arxiv.2010.08343 · pith_short_12: WR466VAXDJRY · pith_short_16: WR466VAXDJRY74KT · pith_short_8: WR466VAX

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/WR466VAXDJRY74KT7ZSXEL6ELI \
  | 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: b479ef54171a638ff153fe65722fc45a39a15f6768ca02ab649b8c3b0e214173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a9c8410aa0a8ad4ca1a646d06f50b6a65958b5cf5f3aba98c7f7d13237e554c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-09-26T15:53:12Z",
    "title_canon_sha256": "bb31b346f861998844956de3e72a8e8318a48c99d1e475cd649cb8252c29e135"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08343",
    "kind": "arxiv",
    "version": 1
  }
}