Pith Number

pith:T3QBYGXE

pith:2025:T3QBYGXE6DLC7BAVGY7HYDKJ54

not attested not anchored not stored refs pending

$\sqrt{-3}$-Selmer groups, ideal class groups and large $3$-Selmer ranks

Dipramit Majumdar, Pratiksha Shingavekar, Somnath Jha

arxiv:2502.01069 v1 · 2025-02-03 · 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{T3QBYGXE6DLC7BAVGY7HYDKJ54}

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	2026-07-05T10:08:42.521808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee01c1ae4f0d62f8415363e7c0d49ef1b8fb3765db8e10d7c9ef51127a2a46a

Aliases

arxiv: 2502.01069 · arxiv_version: 2502.01069v1 · doi: 10.48550/arxiv.2502.01069 · pith_short_12: T3QBYGXE6DLC · pith_short_16: T3QBYGXE6DLC7BAV · pith_short_8: T3QBYGXE

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/T3QBYGXE6DLC7BAVGY7HYDKJ54 \
  | 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: 9ee01c1ae4f0d62f8415363e7c0d49ef1b8fb3765db8e10d7c9ef51127a2a46a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01994aa04b5713d80ac7ca162fca18ce004bdc58060f5b031c771de7d0e0093d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-03T05:25:34Z",
    "title_canon_sha256": "7b3f1d9490e438ee50415eb9c91316188679b36ba97f0305109fb132617511f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.01069",
    "kind": "arxiv",
    "version": 1
  }
}