Pith Number

pith:LLGQ4SBO

pith:2026:LLGQ4SBOTGPRY753TEP3M2V5E5

not attested not anchored not stored refs pending

On Diophantine equations over the integer rings of quadratic fields

Zhi-Wei Sun

arxiv:2608.03992 v1 · 2026-08-04 · math.NT · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LLGQ4SBOTGPRY753TEP3M2V5E5}

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	2026-08-05T01:37:39.420967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5acd0e482e999f1c7fbb991fb66abd27647eac92c2ccf14c405250442084651d

Aliases

arxiv: 2608.03992 · arxiv_version: 2608.03992v1 · doi: 10.48550/arxiv.2608.03992 · pith_short_12: LLGQ4SBOTGPR · pith_short_16: LLGQ4SBOTGPRY753 · pith_short_8: LLGQ4SBO

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/LLGQ4SBOTGPRY753TEP3M2V5E5 \
  | 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: 5acd0e482e999f1c7fbb991fb66abd27647eac92c2ccf14c405250442084651d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22863632e6bf14dccc022cb33c97040d69be60a2d627383502f83baff2414147",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-08-04T17:53:00Z",
    "title_canon_sha256": "d6774879d7ff89a5ced9881abe947d6d718593c46a2b0b3f46cf8d7e295b397e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03992",
    "kind": "arxiv",
    "version": 1
  }
}