Pith Number

pith:LW2RF6LI

pith:2024:LW2RF6LI3XODIXUPVWNMMJTXZC

not attested not anchored not stored refs pending

Some determinants involving quadratic residues modulo primes

Zhi-Wei Sun

arxiv:2401.14301 v5 · 2024-01-25 · 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{LW2RF6LI3XODIXUPVWNMMJTXZC}

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	2026-07-05T08:42:32.434881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5db512f968dddc345e8fad9ac62677c8836c225e6042ea14fe2b1a5228395327

Aliases

arxiv: 2401.14301 · arxiv_version: 2401.14301v5 · doi: 10.48550/arxiv.2401.14301 · pith_short_12: LW2RF6LI3XOD · pith_short_16: LW2RF6LI3XODIXUP · pith_short_8: LW2RF6LI

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/LW2RF6LI3XODIXUPVWNMMJTXZC \
  | 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: 5db512f968dddc345e8fad9ac62677c8836c225e6042ea14fe2b1a5228395327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c81ce35ce41791b4f74f5e276da31d3aea685c7d75978f1fa1a05e67c15075f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-01-25T16:50:35Z",
    "title_canon_sha256": "24f78a30bae6f6d03da08c48ee594e0d1b71bd4a303d45807755988673bc30c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.14301",
    "kind": "arxiv",
    "version": 5
  }
}