Pith Number

pith:7YMDPFVA

pith:2017:7YMDPFVAF5FXFPGTYUPE6EE5OI

not attested not anchored not stored refs pending

On higher Fitting ideals of Iwasawa modules of ideal class groups over imaginary quadratic fields and Euler systems of elliptic units II

Tatsuya Ohshita

arxiv:1710.04568 v1 · 2017-10-12 · 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{7YMDPFVAF5FXFPGTYUPE6EE5OI}

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	2026-05-18T00:33:00.639062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe183796a02f4b72bcd3c51e4f109d72231ea64397e2fa925f9338a7eaae261b

Aliases

arxiv: 1710.04568 · arxiv_version: 1710.04568v1 · doi: 10.48550/arxiv.1710.04568 · pith_short_12: 7YMDPFVAF5FX · pith_short_16: 7YMDPFVAF5FXFPGT · pith_short_8: 7YMDPFVA

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/7YMDPFVAF5FXFPGTYUPE6EE5OI \
  | 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: fe183796a02f4b72bcd3c51e4f109d72231ea64397e2fa925f9338a7eaae261b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "967d125f9652ebc49c02491232a346eb7bbc375ad1924f42e6cff190ed70591f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-12T15:34:57Z",
    "title_canon_sha256": "cb0cbd1340c12764ca3256b69b83b0e6933c453532bb27a2560a8e2d18c3ee17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04568",
    "kind": "arxiv",
    "version": 1
  }
}