Pith Number

pith:5RJP2YXF

pith:2020:5RJP2YXFVJMVM6RTL7X4VJHZSQ

not attested not anchored not stored refs pending

Elliptic curves over $\mathbb{F}_p$ and determinants of Legendre matrices

Hai-Liang Wu

arxiv:2012.05746 v7 · 2020-12-10 · 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{5RJP2YXFVJMVM6RTL7X4VJHZSQ}

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

On Sun's Conjectures for Truncated Jacobi-Symbol Determinants via Supersingular Elliptic Curves

Receipt and verification

First computed	2026-07-05T10:21:53.260493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec52fd62e5aa59567a335fefcaa4f99402989039584e5e43d54e53804b9dafce

Aliases

arxiv: 2012.05746 · arxiv_version: 2012.05746v7 · doi: 10.48550/arxiv.2012.05746 · pith_short_12: 5RJP2YXFVJMV · pith_short_16: 5RJP2YXFVJMVM6RT · pith_short_8: 5RJP2YXF

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/5RJP2YXFVJMVM6RTL7X4VJHZSQ \
  | 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: ec52fd62e5aa59567a335fefcaa4f99402989039584e5e43d54e53804b9dafce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6569679bcceae8f0f44d159bdde17cf9be0a736d46723752c77b0f1e6f738e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-12-10T15:29:34Z",
    "title_canon_sha256": "be28a613981cd4b4b570c8074c66814028912a5c265c721e3d35371105d9330b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05746",
    "kind": "arxiv",
    "version": 7
  }
}