Pith Number

pith:CP7QYWV2

pith:2016:CP7QYWV2KCUIYJ5V3Z4CW752YD

not attested not anchored not stored refs pending

Derived brackets for fat Leibniz algebras

Xiongwei Cai, Zhangju Liu

arxiv:1612.08244 v1 · 2016-12-25 · 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{CP7QYWV2KCUIYJ5V3Z4CW752YD}

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	2026-05-18T00:53:57.178260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13ff0c5aba50a88c27b5de782b7fbac0e71c431c32b6278290c993d179087314

Aliases

arxiv: 1612.08244 · arxiv_version: 1612.08244v1 · doi: 10.48550/arxiv.1612.08244 · pith_short_12: CP7QYWV2KCUI · pith_short_16: CP7QYWV2KCUIYJ5V · pith_short_8: CP7QYWV2

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/CP7QYWV2KCUIYJ5V3Z4CW752YD \
  | 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: 13ff0c5aba50a88c27b5de782b7fbac0e71c431c32b6278290c993d179087314

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bd43c5ebbbd9cde6419e4a815bf679a4a1fafd309b99e39ee1124b9e4e68a40",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-12-25T07:39:57Z",
    "title_canon_sha256": "2e75d24600230984b9208a33cb2158eb5a2cc76f38ca644f8b326bf103867a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08244",
    "kind": "arxiv",
    "version": 1
  }
}