Pith Number

pith:JSZNL2GP

pith:2024:JSZNL2GP6GBLCJ745BLNRD6R7F

not attested not anchored not stored refs pending

On determinants involving $(\frac{j+k}p)\pm(\frac{j-k}p)$

Deyi Chen, Zhi-Wei Sun

arxiv:2409.08213 v4 · 2024-09-12 · 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{JSZNL2GP6GBLCJ745BLNRD6R7F}

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.

Receipt and verification

First computed	2026-07-05T10:42:37.327936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cb2d5e8cff182b127fce856d88fd1f95a916a79eb875e3209d4663969efdc14

Aliases

arxiv: 2409.08213 · arxiv_version: 2409.08213v4 · doi: 10.48550/arxiv.2409.08213 · pith_short_12: JSZNL2GP6GBL · pith_short_16: JSZNL2GP6GBLCJ74 · pith_short_8: JSZNL2GP

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/JSZNL2GP6GBLCJ745BLNRD6R7F \
  | 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: 4cb2d5e8cff182b127fce856d88fd1f95a916a79eb875e3209d4663969efdc14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd27f2f0cfe8cfbc1f863cee53970f3b931df0891fd6557cb24ed56511385356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-12T16:53:53Z",
    "title_canon_sha256": "1d927aa3f68ccf5380e27f0e4f764cd2f7869a0dd2c3978308961639c9530e96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.08213",
    "kind": "arxiv",
    "version": 4
  }
}