Pith Number

pith:4B7CZROW

pith:2025:4B7CZROWPRJC6URLQE2TDXUZ7U

not attested not anchored not stored refs pending

Evaluation of a determinant involving Legendre symbols

Chen-Kai Ren, Zhi-Wei Sun

arxiv:2507.18589 v1 · 2025-07-24 · 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{4B7CZROWPRJC6URLQE2TDXUZ7U}

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

A Pfaffian Proof and Generalization of a Conjecture of Sun Zhiwei

Receipt and verification

First computed	2026-07-05T11:42:50.542274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e07e2cc5d67c522f522b813531de99fd35daab908682f01a020dac2082f53830

Aliases

arxiv: 2507.18589 · arxiv_version: 2507.18589v1 · doi: 10.48550/arxiv.2507.18589 · pith_short_12: 4B7CZROWPRJC · pith_short_16: 4B7CZROWPRJC6URL · pith_short_8: 4B7CZROW

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/4B7CZROWPRJC6URLQE2TDXUZ7U \
  | 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: e07e2cc5d67c522f522b813531de99fd35daab908682f01a020dac2082f53830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c633acf31e09829be945f721a39b4b3e2901fdbdc64d4ea0d9b8017f2a98fc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-24T17:14:21Z",
    "title_canon_sha256": "19d78922fe788abbb8781fc3398fe424788f8ebf472d0a444526131b8dc86dac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.18589",
    "kind": "arxiv",
    "version": 1
  }
}