Pith Number

pith:F2XBW3VV

pith:2019:F2XBW3VVTTCWETGG7XOUFFPL42

not attested not anchored not stored refs pending

3-Lie-Rinehart Algebras

Ruipu Bai, Xiaojuan Li, Yingli Wu

arxiv:1903.12283 v2 · 2019-03-28 · 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{F2XBW3VVTTCWETGG7XOUFFPL42}

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	2026-05-17T23:47:57.484370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eae1b6eb59cc5624cc6fddd4295ebe6af3e4c00879a7a0728f6e827cd040519

Aliases

arxiv: 1903.12283 · arxiv_version: 1903.12283v2 · doi: 10.48550/arxiv.1903.12283 · pith_short_12: F2XBW3VVTTCW · pith_short_16: F2XBW3VVTTCWETGG · pith_short_8: F2XBW3VV

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/F2XBW3VVTTCWETGG7XOUFFPL42 \
  | 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: 2eae1b6eb59cc5624cc6fddd4295ebe6af3e4c00879a7a0728f6e827cd040519

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89a1103951f29d71bb5bb1161bf524b64f7818a5016fe604b1e3c5b6b904cdff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-03-28T21:40:40Z",
    "title_canon_sha256": "ae5394d7aea81fa8e429767814717cd18b17f0695e5edf21ce3288857aea12ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.12283",
    "kind": "arxiv",
    "version": 2
  }
}