Pith Number

pith:4JUPJKWI

pith:2010:4JUPJKWIRTOGKZEYVMXCZ7O3VQ

not attested not anchored not stored refs pending

Normal bases of ray class fields over imaginary quadratic fields

Dong Hwa Shin, Ho Yung Jung, Ja Kyung Koo

arxiv:1007.2312 v2 · 2010-07-14 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4JUPJKWIRTOGKZEYVMXCZ7O3VQ}

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	2026-05-18T04:31:31.046272Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e268f4aac88cdc656498ab2e2cfddbac0035db0f66612f48f0dfbbc464f19d99

Aliases

arxiv: 1007.2312 · arxiv_version: 1007.2312v2 · doi: 10.48550/arxiv.1007.2312 · pith_short_12: 4JUPJKWIRTOG · pith_short_16: 4JUPJKWIRTOGKZEY · pith_short_8: 4JUPJKWI

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/4JUPJKWIRTOGKZEYVMXCZ7O3VQ \
  | 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: e268f4aac88cdc656498ab2e2cfddbac0035db0f66612f48f0dfbbc464f19d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed0d87c567dd9b670338e1e377f6f2a9d75ee1c84fc6a7500a41d0e0e72a97af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-14T12:32:26Z",
    "title_canon_sha256": "67c20e83fac1f092f3417a228b2f17843daab49a8df6d70eff36a13ca6cd73a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2312",
    "kind": "arxiv",
    "version": 2
  }
}