Pith Number

pith:ZDACTBHR

pith:2024:ZDACTBHR7QDTSOALAXYBVYJUB4

not attested not anchored not stored refs pending

Sums of rational cubes and the $3$-Selmer group

Alexander Smith, Peter Koymans

arxiv:2405.09311 v1 · 2024-05-15 · 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{ZDACTBHR7QDTSOALAXYBVYJUB4}

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

3 papers in Pith

Recent Progress around Cohen-Lenstra Heuristics

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two

Solvable Descent and the Grunwald Problem for Solvable Groups

Receipt and verification

First computed	2026-07-05T08:19:28.941448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8c02984f1fc0739380b05f01ae1340f2907655cbf79ee6c751e6dc84a843258

Aliases

arxiv: 2405.09311 · arxiv_version: 2405.09311v1 · doi: 10.48550/arxiv.2405.09311 · pith_short_12: ZDACTBHR7QDT · pith_short_16: ZDACTBHR7QDTSOAL · pith_short_8: ZDACTBHR

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/ZDACTBHR7QDTSOALAXYBVYJUB4 \
  | 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: c8c02984f1fc0739380b05f01ae1340f2907655cbf79ee6c751e6dc84a843258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d6e1fd7e6179672e2eff14f475b34d31e75a69738d8857f57cc1bddf6b6b81a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-15T13:11:13Z",
    "title_canon_sha256": "c5049953e4045843bb6293a482771433ec23f6a04cebc191a5c9cd0e2311cbb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.09311",
    "kind": "arxiv",
    "version": 1
  }
}