Pith Number

pith:PL32PWVA

pith:2004:PL32PWVAD6E3JTNMMJJPWPFOKO

not attested not anchored not stored refs pending

Anticyclotomic Iwasawa theory of CM elliptic curves II

Adebisi Agboola, Benjamin Howard

arxiv:math/0401124 v2 · 2004-01-13 · 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{PL32PWVAD6E3JTNMMJJPWPFOKO}

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	2026-05-18T03:59:49.870590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7af7a7daa01f89b4cdac6252fb3cae53ae0611c9ca602c82aabf8d36f8ac6380

Aliases

arxiv: math/0401124 · arxiv_version: math/0401124v2 · doi: 10.48550/arxiv.math/0401124 · pith_short_12: PL32PWVAD6E3 · pith_short_16: PL32PWVAD6E3JTNM · pith_short_8: PL32PWVA

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/PL32PWVAD6E3JTNMMJJPWPFOKO \
  | 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: 7af7a7daa01f89b4cdac6252fb3cae53ae0611c9ca602c82aabf8d36f8ac6380

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fe127fa2a568f02e79457f93f3254b89d6122f7de3c6c17ec939a7179dbabb4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-01-13T00:48:06Z",
    "title_canon_sha256": "1ac60382cf8cdeba48d4baf973815dcd6f45ced18f92cdee14a2f1dcf4ba1699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0401124",
    "kind": "arxiv",
    "version": 2
  }
}