Pith Number

pith:ZKZFPNSX

pith:2025:ZKZFPNSXUCBT3EB5VZBJ3O5HF3

not attested not anchored not stored refs pending

Manin's Conjecture for Equivariant compactifications of forms of $\mathbb{G}_a^n$

Abdulmuhsin Alfaraj

arxiv:2505.04562 v1 · 2025-05-07 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKZFPNSXUCBT3EB5VZBJ3O5HF3}

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	2026-07-05T10:59:53.784429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab257b657a0833d903dae429dbba72ee5df0bf0c31efe7f1bb78894ebc3085b

Aliases

arxiv: 2505.04562 · arxiv_version: 2505.04562v1 · doi: 10.48550/arxiv.2505.04562 · pith_short_12: ZKZFPNSXUCBT · pith_short_16: ZKZFPNSXUCBT3EB5 · pith_short_8: ZKZFPNSX

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/ZKZFPNSXUCBT3EB5VZBJ3O5HF3 \
  | 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: cab257b657a0833d903dae429dbba72ee5df0bf0c31efe7f1bb78894ebc3085b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8a0fdf2aedc9b613c28c2cbee060a600d20186fd57b33df1d31aa53922e4d7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-07T16:52:53Z",
    "title_canon_sha256": "e5c9b1ba32a7c6db18de8c92970f09010b2f5167ef633b161d2121ee681b9951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04562",
    "kind": "arxiv",
    "version": 1
  }
}