Pith Number

pith:LIZLR5UN

pith:2022:LIZLR5UNFMGMIOVKA4B4PWMNQ7

not attested not anchored not stored refs pending

Graded Lie Algebras, Compactified Jacobians and Arithmetic Statistics

Jef Laga

arxiv:2204.02048 v2 · 2022-04-05 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIZLR5UNFMGMIOVKA4B4PWMNQ7}

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.

Cited by

1 paper in Pith

Geometry-of-numbers over number fields and the density of ADE families of curves having squarefree discriminant

Receipt and verification

First computed	2026-07-05T08:37:11.813645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a32b8f68d2b0cc43aaa0703c7d98d87ff2fef2f17f19e715d362d3740d8a3ef

Aliases

arxiv: 2204.02048 · arxiv_version: 2204.02048v2 · doi: 10.48550/arxiv.2204.02048 · pith_short_12: LIZLR5UNFMGM · pith_short_16: LIZLR5UNFMGMIOVK · pith_short_8: LIZLR5UN

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/LIZLR5UNFMGMIOVKA4B4PWMNQ7 \
  | 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: 5a32b8f68d2b0cc43aaa0703c7d98d87ff2fef2f17f19e715d362d3740d8a3ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f902e813012629e281ef2ec3e90aa63ee58f9f61a9220ed8f261b6afa4ef34",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-05T08:34:59Z",
    "title_canon_sha256": "b8a57d0e808a87a4fdec408307076ab9aa06c89138b9d61466c85a60920e33ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.02048",
    "kind": "arxiv",
    "version": 2
  }
}