Pith Number

pith:2QRQNWNS

pith:2012:2QRQNWNSFQPXPWDYSA55YES23B

not attested not anchored not stored refs pending

Spectral curves for Cauchy-Riemann operators on punctured elliptic curves

Christoph Bohle, Iskander A. Taimanov

arxiv:1212.5147 v1 · 2012-12-20 · math.DG · 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{2QRQNWNSFQPXPWDYSA55YES23B}

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	2026-05-18T02:35:52.586352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d42306d9b22c1f77d878903bdc125ad86945051b5915cd4aff9883af8ebe4a4a

Aliases

arxiv: 1212.5147 · arxiv_version: 1212.5147v1 · doi: 10.48550/arxiv.1212.5147 · pith_short_12: 2QRQNWNSFQPX · pith_short_16: 2QRQNWNSFQPXPWDY · pith_short_8: 2QRQNWNS

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/2QRQNWNSFQPXPWDYSA55YES23B \
  | 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: d42306d9b22c1f77d878903bdc125ad86945051b5915cd4aff9883af8ebe4a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f6828e3d8bff72e3a6062746b24349604973375a8515b91d48027c2bdde90bc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-20T17:07:38Z",
    "title_canon_sha256": "534e9ded7eef23d2c6a9f3b5719d5af3d1599221bb612b2b1a025a97bbcdb81c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5147",
    "kind": "arxiv",
    "version": 1
  }
}