Pith Number

pith:IZKZGWK4

pith:2003:IZKZGWK447WPB3QIP24RTASDWG

not attested not anchored not stored refs pending

On CM abelian varieties over imaginary quadratic fields

Tonghai Yang

arxiv:math/0301306 v1 · 2003-01-26 · 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{IZKZGWK447WPB3QIP24RTASDWG}

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	2026-05-18T01:05:29.098694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

465593595ce7ecf0ee087eb9198243b1a91ec597bef8bda7242e56e51582f890

Aliases

arxiv: math/0301306 · arxiv_version: math/0301306v1 · doi: 10.48550/arxiv.math/0301306 · pith_short_12: IZKZGWK447WP · pith_short_16: IZKZGWK447WPB3QI · pith_short_8: IZKZGWK4

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/IZKZGWK447WPB3QIP24RTASDWG \
  | 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: 465593595ce7ecf0ee087eb9198243b1a91ec597bef8bda7242e56e51582f890

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1f78f1d6a7f04ee7e8728486c223d695ba61491a98b78f34b0f5d5bb02dc2d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-01-26T16:29:31Z",
    "title_canon_sha256": "e675edb348a07d816fe72baccc6b6c90880a53bc009407b8543e1cc35be4c17a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0301306",
    "kind": "arxiv",
    "version": 1
  }
}