Pith Number

pith:5KSYSOFG

pith:2014:5KSYSOFGPS7RIJE5DEIL5XVA6P

not attested not anchored not stored refs pending

Crossed modules for Lie 2-algebras

Honglei Lang, Zhangju Liu

arxiv:1402.7226 v1 · 2014-02-28 · math.RA · 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{5KSYSOFGPS7RIJE5DEIL5XVA6P}

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	2026-05-18T02:57:34.614422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa58938a67cbf14249d1910bedea0f3c763cf94e8f3130f9a157a306edc453e

Aliases

arxiv: 1402.7226 · arxiv_version: 1402.7226v1 · doi: 10.48550/arxiv.1402.7226 · pith_short_12: 5KSYSOFGPS7R · pith_short_16: 5KSYSOFGPS7RIJE5 · pith_short_8: 5KSYSOFG

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/5KSYSOFGPS7RIJE5DEIL5XVA6P \
  | 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: eaa58938a67cbf14249d1910bedea0f3c763cf94e8f3130f9a157a306edc453e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f88db430d6f79126211dad28cbfadebc3af125c501aefadf4aae4c08453615",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-02-28T12:49:01Z",
    "title_canon_sha256": "87bd7e0ebfd3bc7f8a07be6352e3dc7ef9d41f250a2ca4b5e19a18d29542ed14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.7226",
    "kind": "arxiv",
    "version": 1
  }
}