Pith Number

pith:7BALUMKM

pith:2026:7BALUMKMUER7BZIZRTDJOMQZ2B

not attested not anchored not stored refs pending

Lie-Rinehart and Poisson algebras over $C^\infty$-ring

Eugene Lerman, Ruben Louis

arxiv:2606.01388 v1 · 2026-05-31 · math.SG · math-ph · math.AG · math.DG · 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{7BALUMKMUER7BZIZRTDJOMQZ2B}

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	2026-06-02T02:04:32.000154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f840ba314ca123f0e5198cc6973219d0465afefd42a96710b25afab76344bee1

Aliases

arxiv: 2606.01388 · arxiv_version: 2606.01388v1 · doi: 10.48550/arxiv.2606.01388 · pith_short_12: 7BALUMKMUER7 · pith_short_16: 7BALUMKMUER7BZIZ · pith_short_8: 7BALUMKM

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/7BALUMKMUER7BZIZRTDJOMQZ2B \
  | 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: f840ba314ca123f0e5198cc6973219d0465afefd42a96710b25afab76344bee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd925a2f96c5d26ea82ba173cc363e373ac0c77bc32192d559fddf48608b3679",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2026-05-31T18:27:35Z",
    "title_canon_sha256": "541c77b8c0e679baa44fb51fb96b4311252bc13999046410a5dc2bbe7d246b4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01388",
    "kind": "arxiv",
    "version": 1
  }
}