Pith Number

pith:ZAE7NGSB

pith:2009:ZAE7NGSBAQUQHYXP4MUDHO3FWI

not attested not anchored not stored refs pending

Cohomology and Formal Deformations of Left Alternative Algebras

Abdenacer Makhlouf, Mohamed Elhamdadi

arxiv:0907.1548 v1 · 2009-07-09 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZAE7NGSBAQUQHYXP4MUDHO3FWI}

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	2026-05-18T01:02:21.548396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c809f69a41042903e2efe32833bb65b221f350a486e38162e4bff860fa6124bd

Aliases

arxiv: 0907.1548 · arxiv_version: 0907.1548v1 · doi: 10.48550/arxiv.0907.1548 · pith_short_12: ZAE7NGSBAQUQ · pith_short_16: ZAE7NGSBAQUQHYXP · pith_short_8: ZAE7NGSB

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/ZAE7NGSBAQUQHYXP4MUDHO3FWI \
  | 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: c809f69a41042903e2efe32833bb65b221f350a486e38162e4bff860fa6124bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c10387c7b1566f3ff8f502814a97b3e9657e522fbcd8e075b2b4ebdfce10ef3a",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2009-07-09T13:45:31Z",
    "title_canon_sha256": "a7c7796c460209c23fbf91e264b073529f2aeb8c8c6414a3e7783de77c41c75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1548",
    "kind": "arxiv",
    "version": 1
  }
}