Pith Number

pith:KA4WKRUE

pith:2012:KA4WKRUEV6GFY5RRNJ4FXZ5QGS

not attested not anchored not stored refs pending

On Polyquadratic Twists of X_0(N)

Ekin Ozman

arxiv:1205.3424 v1 · 2012-05-15 · 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{KA4WKRUEV6GFY5RRNJ4FXZ5QGS}

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	2026-05-18T03:55:36.095606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5039654684af8c5c76316a785be7b034b3e5eb85f9bc4b6317b023bcc99ac285

Aliases

arxiv: 1205.3424 · arxiv_version: 1205.3424v1 · doi: 10.48550/arxiv.1205.3424 · pith_short_12: KA4WKRUEV6GF · pith_short_16: KA4WKRUEV6GFY5RR · pith_short_8: KA4WKRUE

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/KA4WKRUEV6GFY5RRNJ4FXZ5QGS \
  | 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: 5039654684af8c5c76316a785be7b034b3e5eb85f9bc4b6317b023bcc99ac285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25339115328a5f9a4ea1b64b8a1600dfef8b2fa905c38663ccff13b373a0780d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-05-15T15:54:40Z",
    "title_canon_sha256": "76379c00e1ad8e6ebb83d9d11406438790cc709623dcf1410f0f8afe6e2dc96b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3424",
    "kind": "arxiv",
    "version": 1
  }
}