Pith Number

pith:QPD6Z2SF

pith:2011:QPD6Z2SFZGKACIYMNJZIGEFVJY

not attested not anchored not stored refs pending

Integration of Lie 2-algebras and their morphisms

Chenchang Zhu, Yunhe Sheng

arxiv:1109.4002 v4 · 2011-09-19 · math-ph · math.CT · math.MP · 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{QPD6Z2SFZGKACIYMNJZIGEFVJY}

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	2026-05-18T02:00:29.429258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83c7ecea45c99401230c6a728310b54e0c641f19704ae73cc631b80ce7544316

Aliases

arxiv: 1109.4002 · arxiv_version: 1109.4002v4 · doi: 10.48550/arxiv.1109.4002 · pith_short_12: QPD6Z2SFZGKA · pith_short_16: QPD6Z2SFZGKACIYM · pith_short_8: QPD6Z2SF

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/QPD6Z2SFZGKACIYMNJZIGEFVJY \
  | 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: 83c7ecea45c99401230c6a728310b54e0c641f19704ae73cc631b80ce7544316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d157a5f24e027efc0f8e88adeb064ae22716868809d5339909dfcfad0959be1",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-09-19T11:44:41Z",
    "title_canon_sha256": "cae4baa7a598d41a9bb97a7509510d42d65b03fcf113c9e3e4f2c41368678a49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4002",
    "kind": "arxiv",
    "version": 4
  }
}