Pith Number

pith:BOOI5GNI

pith:2025:BOOI5GNI3XNYLYRLAWZH5OELBH

not attested not anchored not stored refs pending

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

Daniel Loughran, D. R. Heath-Brown

arxiv:2506.02829 v1 · 2025-06-03 · 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{BOOI5GNI3XNYLYRLAWZH5OELBH}

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

Homological sieve and Manin's conjecture

Receipt and verification

First computed	2026-07-05T11:15:09.927297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b9c8e99a8dddb85e22b05b27eb88b09e7711ac2b2f8280b5363ce01b1359716

Aliases

arxiv: 2506.02829 · arxiv_version: 2506.02829v1 · doi: 10.48550/arxiv.2506.02829 · pith_short_12: BOOI5GNI3XNY · pith_short_16: BOOI5GNI3XNYLYRL · pith_short_8: BOOI5GNI

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/BOOI5GNI3XNYLYRLAWZH5OELBH \
  | 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: 0b9c8e99a8dddb85e22b05b27eb88b09e7711ac2b2f8280b5363ce01b1359716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0bf09e83975e3880afaf8ff66248c59d3a6380519b067c6d115a0b6bb4fe19a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-03T12:58:57Z",
    "title_canon_sha256": "c10d7af019c9bad0cd81da3ff54e51df6a8ceee4d95447655c95c96899f2298b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02829",
    "kind": "arxiv",
    "version": 1
  }
}