Pith Number

pith:Q4YGXPTM

pith:2022:Q4YGXPTMMRJ6YSHMQJS4KCJ6PQ

not attested not anchored not stored refs pending

$3$-Selmer group, ideal class groups and cube sum problem

Dipramit Majumdar, Pratiksha Shingavekar, Somnath Jha

arxiv:2207.12487 v2 · 2022-07-25 · 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{Q4YGXPTMMRJ6YSHMQJS4KCJ6PQ}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T10:03:22.283422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87306bbe6c6453ec48ec8265c5093e7c31cb84365fd846699fedd910b2d9d7c8

Aliases

arxiv: 2207.12487 · arxiv_version: 2207.12487v2 · doi: 10.48550/arxiv.2207.12487 · pith_short_12: Q4YGXPTMMRJ6 · pith_short_16: Q4YGXPTMMRJ6YSHM · pith_short_8: Q4YGXPTM

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/Q4YGXPTMMRJ6YSHMQJS4KCJ6PQ \
  | 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: 87306bbe6c6453ec48ec8265c5093e7c31cb84365fd846699fedd910b2d9d7c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40209c2350528cc939eb2dfa8dcbafecd891fa776609f5a87b59afba408d9863",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-07-25T19:26:28Z",
    "title_canon_sha256": "746a270ded4cb1fbeef0d4f321cd54c08ee74826b0bed3b474f6f6c76cc1d5e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.12487",
    "kind": "arxiv",
    "version": 2
  }
}