Pith Number

pith:Z4KR6KU5

pith:2024:Z4KR6KU53CSL77APKDIUFHJJ65

not attested not anchored not stored refs pending

On some determinants arising from quadratic residues

Chen-Kai Ren, Zhi-Wei Sun

arxiv:2404.11547 v1 · 2024-04-17 · 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{Z4KR6KU53CSL77APKDIUFHJJ65}

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	2026-07-05T08:09:10.317193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf151f2a9dd8a4bffc0f50d1429d29f77c8b4d94a3c3951904e15bc8ff6c5042

Aliases

arxiv: 2404.11547 · arxiv_version: 2404.11547v1 · doi: 10.48550/arxiv.2404.11547 · pith_short_12: Z4KR6KU53CSL · pith_short_16: Z4KR6KU53CSL77AP · pith_short_8: Z4KR6KU5

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/Z4KR6KU53CSL77APKDIUFHJJ65 \
  | 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: cf151f2a9dd8a4bffc0f50d1429d29f77c8b4d94a3c3951904e15bc8ff6c5042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16c541a50b4841a43c2ec1ecc66ad06c312cb829d92fec47e0179ee3fac5f533",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-04-17T16:43:17Z",
    "title_canon_sha256": "4230feb43512ec1d621a637b29c1b8ce7a8edc2b7aa8502095e8a1b61c1e3f4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11547",
    "kind": "arxiv",
    "version": 1
  }
}