Pith Number

pith:4K6VBKUP

pith:2016:4K6VBKUPA5SKVRFPWZK74DXJTS

not attested not anchored not stored refs pending

A non-abelian exterior product and homology of Leibniz algebras

Emzar Khmaladze, Guram Donadze, Xabier Garc\'ia-Mart\'inez

arxiv:1612.07910 v1 · 2016-12-23 · 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{4K6VBKUPA5SKVRFPWZK74DXJTS}

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	2026-05-18T00:54:05.365052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2bd50aa8f0764aac4afb655fe0ee99c861327343ba26a8a99d91e8c1e1d4241

Aliases

arxiv: 1612.07910 · arxiv_version: 1612.07910v1 · doi: 10.48550/arxiv.1612.07910 · pith_short_12: 4K6VBKUPA5SK · pith_short_16: 4K6VBKUPA5SKVRFP · pith_short_8: 4K6VBKUP

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/4K6VBKUPA5SKVRFPWZK74DXJTS \
  | 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: e2bd50aa8f0764aac4afb655fe0ee99c861327343ba26a8a99d91e8c1e1d4241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5b0d3a02983c3f79b8917444f43529ce29f9a287ef6b0ae9522aa28b7f1dbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-23T09:21:00Z",
    "title_canon_sha256": "ecb8dc9a63b316b71c8edb743fbbb1d751c889740432b6bda4a7adb91e46d628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07910",
    "kind": "arxiv",
    "version": 1
  }
}