Pith Number

pith:KV5UP6MF

pith:2025:KV5UP6MFDV7QXQVGRNZH2RVQN4

not attested not anchored not stored refs pending

Variance of point-counts for families of cubic curves over $\mathbb{F}_p$ and Jacobsthal sums

Bogdan Nica

arxiv:2504.15505 v1 · 2025-04-22 · 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{KV5UP6MFDV7QXQVGRNZH2RVQN4}

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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

On quadratic character sums over quartics

Receipt and verification

First computed	2026-07-05T10:52:25.645221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

557b47f9851d7f0bc2a68b727d46b06f12c616521433ca86fc44770c720cef04

Aliases

arxiv: 2504.15505 · arxiv_version: 2504.15505v1 · doi: 10.48550/arxiv.2504.15505 · pith_short_12: KV5UP6MFDV7Q · pith_short_16: KV5UP6MFDV7QXQVG · pith_short_8: KV5UP6MF

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/KV5UP6MFDV7QXQVGRNZH2RVQN4 \
  | 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: 557b47f9851d7f0bc2a68b727d46b06f12c616521433ca86fc44770c720cef04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e0adbac17fcd5c21c4377d1227c9c9f95d5242e79883e738eb2b584f0800c16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-22T00:52:12Z",
    "title_canon_sha256": "aa5e37b0365b1637d6db5e421f15f765889b5016fe6b5f2917b327798126e082"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.15505",
    "kind": "arxiv",
    "version": 1
  }
}