Pith Number

pith:JACAECM6

pith:2012:JACAECM64I52GJRRP34KTR5HDC

not attested not anchored not stored refs pending

On the degenerations of solvable Leibniz algebras

A. Kh. Khudoyberdiyev, B. A. Omirov, J. M. Casas, M. Ladra

arxiv:1211.2922 v1 · 2012-11-13 · math.AG · 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{JACAECM64I52GJRRP34KTR5HDC}

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	2026-05-18T03:40:52.362685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

480402099ee23ba326317ef8a9c7a718a23d1dbf19127f922b758a0479bde821

Aliases

arxiv: 1211.2922 · arxiv_version: 1211.2922v1 · doi: 10.48550/arxiv.1211.2922 · pith_short_12: JACAECM64I52 · pith_short_16: JACAECM64I52GJRR · pith_short_8: JACAECM6

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/JACAECM64I52GJRRP34KTR5HDC \
  | 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: 480402099ee23ba326317ef8a9c7a718a23d1dbf19127f922b758a0479bde821

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3640a932d8eb682d8a91eefba466df527f4e57ab14fc3d4e72160e7a7d3c26a5",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-13T09:09:09Z",
    "title_canon_sha256": "7f9c25c7bb968f93dbcad5243a35999df35490fddc877ac008f3d1eff951d4fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2922",
    "kind": "arxiv",
    "version": 1
  }
}