Pith Number

pith:RMPFHBVO

pith:2024:RMPFHBVOY3DES7GDU4OZ4XH6A2

not attested not anchored not stored refs pending

Modular curves $X_1(n)$ as moduli spaces of point arrangements and applications

Lev Borisov, Xavier Roulleau

arxiv:2404.04364 v1 · 2024-04-05 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMPFHBVOY3DES7GDU4OZ4XH6A2}

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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

On the Jacobian algebras of Ziegler pairs of plane arrangements

Receipt and verification

First computed	2026-07-05T08:05:15.624067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b1e5386aec6c6497cc3a71d9e5cfe06bbbea7fb570ba5a5c5cee09445ea8b07

Aliases

arxiv: 2404.04364 · arxiv_version: 2404.04364v1 · doi: 10.48550/arxiv.2404.04364 · pith_short_12: RMPFHBVOY3DE · pith_short_16: RMPFHBVOY3DES7GD · pith_short_8: RMPFHBVO

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/RMPFHBVOY3DES7GDU4OZ4XH6A2 \
  | 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: 8b1e5386aec6c6497cc3a71d9e5cfe06bbbea7fb570ba5a5c5cee09445ea8b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5947700d40f39ea695a8386ae293db1ea74be4db2a086d8be255f45fd73b1c48",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-04-05T19:22:22Z",
    "title_canon_sha256": "8d664b311b9941f12a20db1640d5eed10508051038bf13bf1f16d81164f2f0fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04364",
    "kind": "arxiv",
    "version": 1
  }
}