Pith Number

pith:C3QRXXER

pith:2010:C3QRXXERLSCZPOIV4PDRFNDILH

not attested not anchored not stored refs pending

The Diophantine equation $x^4\pm y^4=iz^2$ in Gaussian integers

Filip Najman

arxiv:1005.1528 v1 · 2010-05-10 · 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{C3QRXXERLSCZPOIV4PDRFNDILH}

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	2026-05-18T04:07:52.783029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e11bdc915c8597b915e3c712b46859d1fb6ee73a2a893bc314eb6890b19d5b

Aliases

arxiv: 1005.1528 · arxiv_version: 1005.1528v1 · doi: 10.48550/arxiv.1005.1528 · pith_short_12: C3QRXXERLSCZ · pith_short_16: C3QRXXERLSCZPOIV · pith_short_8: C3QRXXER

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/C3QRXXERLSCZPOIV4PDRFNDILH \
  | 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: 16e11bdc915c8597b915e3c712b46859d1fb6ee73a2a893bc314eb6890b19d5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97dbd08fe8c4ee9029a12d6829787f2aae5c1b2e66117ab6d2685997efcfdcd7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-10T13:01:35Z",
    "title_canon_sha256": "532655871412da7f9bcb4ca4343a3625b471754ad22e40421d5a4c9daab98610"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1528",
    "kind": "arxiv",
    "version": 1
  }
}