Pith Number

pith:74ZNL6XF

pith:2025:74ZNL6XFAW6MYOOJZNBD73HY3C

not attested not anchored not stored refs pending

Points of bounded height on quintic del Pezzo surfaces over the rational numbers

Christian Bernert, Ulrich Derenthal

arxiv:2505.06065 v1 · 2025-05-09 · 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{74ZNL6XFAW6MYOOJZNBD73HY3C}

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

Manin's conjecture for quintic del Pezzo surfaces with a conic bundle structure

Receipt and verification

First computed	2026-07-05T11:00:53.373633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff32d5fae505bccc39c9cb423fecf8d8a57695b2a3a31f103f26a9c304edfa31

Aliases

arxiv: 2505.06065 · arxiv_version: 2505.06065v1 · doi: 10.48550/arxiv.2505.06065 · pith_short_12: 74ZNL6XFAW6M · pith_short_16: 74ZNL6XFAW6MYOOJ · pith_short_8: 74ZNL6XF

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/74ZNL6XFAW6MYOOJZNBD73HY3C \
  | 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: ff32d5fae505bccc39c9cb423fecf8d8a57695b2a3a31f103f26a9c304edfa31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b475bcaaf4ce0cd82b4d319b8ff579fb3d2086f9f7616b24c58ff998eebe72aa",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-05-09T14:01:05Z",
    "title_canon_sha256": "44ecb3b433a9c777a50f5a079a7d829e7b6c77677a5cc96a9d9bbfbf116f8ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.06065",
    "kind": "arxiv",
    "version": 1
  }
}