Pith Number

pith:DOYJZLYP

pith:2021:DOYJZLYP2C54I6MZRCCYPLM2NF

not attested not anchored not stored refs pending

The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras

Abdenacer Makhlouf, Lina Song, Shanshan Liu

arxiv:2111.11015 v1 · 2021-11-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DOYJZLYP2C54I6MZRCCYPLM2NF}

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	2026-07-05T03:33:58.978767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bb09caf0fd0bbc47999888587ad9a6956859126a189a010225289914e2396f1

Aliases

arxiv: 2111.11015 · arxiv_version: 2111.11015v1 · doi: 10.48550/arxiv.2111.11015 · pith_short_12: DOYJZLYP2C54 · pith_short_16: DOYJZLYP2C54I6MZ · pith_short_8: DOYJZLYP

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/DOYJZLYP2C54I6MZRCCYPLM2NF \
  | 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: 1bb09caf0fd0bbc47999888587ad9a6956859126a189a010225289914e2396f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f647b89a0421b835ee442613bd3df79408078f19fcfd393f2d9c9587e4d18f0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-11-22T06:48:17Z",
    "title_canon_sha256": "cc945e32cb54cd11c08af59718b8f24240a42f776903e9cd1251601eda5bc593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.11015",
    "kind": "arxiv",
    "version": 1
  }
}