Pith Number

pith:MZIJWSQ6

pith:2024:MZIJWSQ6HT6TKJYDJP7WO5JFYP

not attested not anchored not stored refs pending

On certain determinants and the square root of some determinants involving Legendre Symbols

Chen-Kai Ren, Xin-Qi Luo

arxiv:2407.04556 v2 · 2024-07-05 · 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{MZIJWSQ6HT6TKJYDJP7WO5JFYP}

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	2026-07-05T08:43:11.728483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66509b4a1e3cfd3527034bff677525c3dbe25ba015782043f96dce3cff1abe3e

Aliases

arxiv: 2407.04556 · arxiv_version: 2407.04556v2 · doi: 10.48550/arxiv.2407.04556 · pith_short_12: MZIJWSQ6HT6T · pith_short_16: MZIJWSQ6HT6TKJYD · pith_short_8: MZIJWSQ6

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/MZIJWSQ6HT6TKJYDJP7WO5JFYP \
  | 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: 66509b4a1e3cfd3527034bff677525c3dbe25ba015782043f96dce3cff1abe3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c812935419f26e9809cd928756035e365cfb80391f16b2c74591f11ea51e53ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-07-05T14:39:12Z",
    "title_canon_sha256": "a622545ec4f07cefee8e977796edb60e430acef1fda685eea5c8a7e2d2d45fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.04556",
    "kind": "arxiv",
    "version": 2
  }
}