Pith Number

pith:NTJZ5Z4I

pith:2016:NTJZ5Z4IINYASBKXH3O5Y4TCNA

not attested not anchored not stored refs pending

The Manin-Peyre conjecture for a certain biprojective cubic threefold

J\"org Br\"udern, Per Salberger, Valentin Blomer

arxiv:1609.02837 v1 · 2016-09-09 · 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{NTJZ5Z4IINYASBKXH3O5Y4TCNA}

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	2026-05-18T01:04:51.124933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd39ee78843700905573edddc7262683b8b207925a3773d1e2e4f7472c282d4

Aliases

arxiv: 1609.02837 · arxiv_version: 1609.02837v1 · doi: 10.48550/arxiv.1609.02837 · pith_short_12: NTJZ5Z4IINYA · pith_short_16: NTJZ5Z4IINYASBKX · pith_short_8: NTJZ5Z4I

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/NTJZ5Z4IINYASBKXH3O5Y4TCNA \
  | 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: 6cd39ee78843700905573edddc7262683b8b207925a3773d1e2e4f7472c282d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cff7429252d238aa3565464ef7f0a925e2faa08f2114952a5b31fc6a572dab19",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-09T15:44:33Z",
    "title_canon_sha256": "2abbb3400ca78a0e272cf4e934264ce731a4291a4c98d7370ab6d76aace850ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02837",
    "kind": "arxiv",
    "version": 1
  }
}