Pith Number

pith:Z2KP2F56

pith:2013:Z2KP2F56DVQYLA3SVB2UW7ZCI3

not attested not anchored not stored refs pending

Counting imaginary quadratic points via universal torsors, II

Christopher Frei, Ulrich Derenthal

arxiv:1304.3352 v1 · 2013-04-11 · 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{Z2KP2F56DVQYLA3SVB2UW7ZCI3}

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	2026-05-17T23:53:17.672293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce94fd17be1d61858372a8754b7f2246e48d5505e462e36e32927100eca0533e

Aliases

arxiv: 1304.3352 · arxiv_version: 1304.3352v1 · doi: 10.48550/arxiv.1304.3352 · pith_short_12: Z2KP2F56DVQY · pith_short_16: Z2KP2F56DVQYLA3S · pith_short_8: Z2KP2F56

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/Z2KP2F56DVQYLA3SVB2UW7ZCI3 \
  | 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: ce94fd17be1d61858372a8754b7f2246e48d5505e462e36e32927100eca0533e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eef010dd6f7f96699edd400b85e484b08e956ff240ac576852b86ed71eaf9fab",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-11T16:04:20Z",
    "title_canon_sha256": "4007e0c5cc9b07d2c8f9b6850a1ee35b5d70c4a3e2e349809a6ff93c79918299"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3352",
    "kind": "arxiv",
    "version": 1
  }
}