Pith Number

pith:XA4UFCSY

pith:2018:XA4UFCSYSYZABJ7DMJRFAFUPDR

not attested not anchored not stored refs pending

On the refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction

Chan-Ho Kim, Masato Kurihara

arxiv:1804.00418 v3 · 2018-04-02 · 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{XA4UFCSYSYZABJ7DMJRFAFUPDR}

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	2026-05-17T23:45:26.200887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b839428a58963200a7e3626250168f1c4bf51ceceadd7f0a7398364da21cb47d

Aliases

arxiv: 1804.00418 · arxiv_version: 1804.00418v3 · doi: 10.48550/arxiv.1804.00418 · pith_short_12: XA4UFCSYSYZA · pith_short_16: XA4UFCSYSYZABJ7D · pith_short_8: XA4UFCSY

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/XA4UFCSYSYZABJ7DMJRFAFUPDR \
  | 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: b839428a58963200a7e3626250168f1c4bf51ceceadd7f0a7398364da21cb47d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6731aa6c9e60b312086175eb479701e288f7c9b407b52f11ef8c07f75a5c7cc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-04-02T07:08:54Z",
    "title_canon_sha256": "827e01107ded56a82e971cbe57520fd82c48279fb28fd7f0439eeece92b693c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00418",
    "kind": "arxiv",
    "version": 3
  }
}