Pith Number

pith:PFBMIYF7

pith:2011:PFBMIYF7FFVTY62YJHRHZXXVTY

not attested not anchored not stored refs pending

On the higher Fitting ideals of Iwasawa modules of ideal class groups over real abelian fields

Tatsuya Ohshita

arxiv:1103.3384 v3 · 2011-03-17 · 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{PFBMIYF7FFVTY62YJHRHZXXVTY}

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	2026-05-18T03:49:58.566686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7942c460bf296b3c7b5849e27cdef59e012fb014e36ebbae0ce5bc7c93ea7abd

Aliases

arxiv: 1103.3384 · arxiv_version: 1103.3384v3 · doi: 10.48550/arxiv.1103.3384 · pith_short_12: PFBMIYF7FFVT · pith_short_16: PFBMIYF7FFVTY62Y · pith_short_8: PFBMIYF7

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/PFBMIYF7FFVTY62YJHRHZXXVTY \
  | 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: 7942c460bf296b3c7b5849e27cdef59e012fb014e36ebbae0ce5bc7c93ea7abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdf5988f52a053ad3c317d7f46e830cc3b054f46b2b6f7a6d3bbad92d12731e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-17T11:43:24Z",
    "title_canon_sha256": "ba28aa71b9b37a4622d7cace1168f8b24f04f086bbb181131f23278ca4722091"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3384",
    "kind": "arxiv",
    "version": 3
  }
}