Pith Number

pith:D2JYNBQW

pith:2013:D2JYNBQWDNKJU57TOMXFMZKKWC

not attested not anchored not stored refs pending

On Manin's conjecture for a certain singular cubic surface over imaginary quadratic fields

Christopher Frei, Ulrich Derenthal

arxiv:1311.2809 v2 · 2013-11-12 · 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{D2JYNBQWDNKJU57TOMXFMZKKWC}

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	2026-05-18T03:01:09.999111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e938686161b549a77f3732e56654ab0bb81f46da306e61dc03b3b733b76c1c5

Aliases

arxiv: 1311.2809 · arxiv_version: 1311.2809v2 · doi: 10.48550/arxiv.1311.2809 · pith_short_12: D2JYNBQWDNKJ · pith_short_16: D2JYNBQWDNKJU57T · pith_short_8: D2JYNBQW

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/D2JYNBQWDNKJU57TOMXFMZKKWC \
  | 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: 1e938686161b549a77f3732e56654ab0bb81f46da306e61dc03b3b733b76c1c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb6eb1839c797604b46092ec0557ce48646616ec0271701099d49e9dd7acb458",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-12T15:25:46Z",
    "title_canon_sha256": "01406b4e0ec61ebc70158e7451a378cb90f86cc8621f8736d40fefc5458a8c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2809",
    "kind": "arxiv",
    "version": 2
  }
}