Pith Number

pith:G6AFC67C

pith:2019:G6AFC67CCJDGO2W2EOB7OXWIGV

not attested not anchored not stored refs pending

3-Lie algebra $A_{\omega}^{\delta}$-modules and induced modules

Pei Liu, Ruipu Bai, Yue Ma

arxiv:1904.11196 v2 · 2019-04-25 · 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{G6AFC67CCJDGO2W2EOB7OXWIGV}

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	2026-05-17T23:41:57.879157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3780517be21246676ada2383f75ec835749e927a216ca0bb0ee41fba6c6bd7ba

Aliases

arxiv: 1904.11196 · arxiv_version: 1904.11196v2 · doi: 10.48550/arxiv.1904.11196 · pith_short_12: G6AFC67CCJDG · pith_short_16: G6AFC67CCJDGO2W2 · pith_short_8: G6AFC67C

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/G6AFC67CCJDGO2W2EOB7OXWIGV \
  | 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: 3780517be21246676ada2383f75ec835749e927a216ca0bb0ee41fba6c6bd7ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04f96fb3b131bb308fcfe6f3e6ceea65551b5862affa919929861f795bcbd049",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-04-25T08:14:00Z",
    "title_canon_sha256": "8efa586cd80a30e322cd9d9922db99fe8a35dbc7906e2f970766b26771923a45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11196",
    "kind": "arxiv",
    "version": 2
  }
}