Pith Number

pith:WJCDJ7T4

pith:2024:WJCDJ7T4DXBHYFF534Y3F7XX5N

not attested not anchored not stored refs pending

How often does a cubic hypersurface have a rational point?

Christopher Keyes, Lea Beneish

arxiv:2405.06584 v1 · 2024-05-10 · 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{WJCDJ7T4DXBHYFF534Y3F7XX5N}

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

The density of elliptic curves over $\mathbb{Q}_p$ with a rational 3-torsion point or a rational 3-isogeny

Receipt and verification

First computed	2026-07-05T08:17:51.792631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24434fe7c1dc27c14bddf31b2fef7eb5e35dcae2680a73a8205ea8b48bc0498

Aliases

arxiv: 2405.06584 · arxiv_version: 2405.06584v1 · doi: 10.48550/arxiv.2405.06584 · pith_short_12: WJCDJ7T4DXBH · pith_short_16: WJCDJ7T4DXBHYFF5 · pith_short_8: WJCDJ7T4

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/WJCDJ7T4DXBHYFF534Y3F7XX5N \
  | 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: b24434fe7c1dc27c14bddf31b2fef7eb5e35dcae2680a73a8205ea8b48bc0498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b5013cdbbb9ca600669f32136ad4c58cf54d2bc202d93e02e4b8907bdb26f51",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-10T16:39:35Z",
    "title_canon_sha256": "90685cfb76756008206ebe3fa8e8e18ea646251b9f47d93fb2450d6d0e5ac635"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.06584",
    "kind": "arxiv",
    "version": 1
  }
}