Pith Number

pith:7UXWPP67

pith:2013:7UXWPP672TK5PNLDXIMYFLQTPV

not attested not anchored not stored refs pending

Integer Solutions, Rational solutions of the equations x^4+y^4+z^4 -2(x^2)(y^2)-2(y^2)(z^2)-2(z^2)(x^2)=n and x^2+y^4+z^4-2x(y^2)-2x(z^2)-2(y^2)(z^2)=n; And Crux Mathematicorum Contest problem CC24

Konstantine Zelator

arxiv:1308.4040 v1 · 2013-08-16 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UXWPP672TK5PNLDXIMYFLQTPV}

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.

Cited by

1 paper in Pith

QAssemble: A Pure Python Package for Quantum Many-Body Theory

Receipt and verification

First computed	2026-05-18T03:15:35.029255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2f67bfdfd4d5d7b563ba1982ae137d6e459fcf649f9cafdc0d1c09ce866f55

Aliases

arxiv: 1308.4040 · arxiv_version: 1308.4040v1 · doi: 10.48550/arxiv.1308.4040 · pith_short_12: 7UXWPP672TK5 · pith_short_16: 7UXWPP672TK5PNLD · pith_short_8: 7UXWPP67

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/7UXWPP672TK5PNLDXIMYFLQTPV \
  | 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: fd2f67bfdfd4d5d7b563ba1982ae137d6e459fcf649f9cafdc0d1c09ce866f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dfe08246d2b86c395cb48243f4873f0c9e7f10ca3242eb9e0963d6db94c11e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2013-08-16T16:51:14Z",
    "title_canon_sha256": "1f10cab1bcd832f5ae8434007f06146e57e8c6b26bfb15dc45dfcf191b456cd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4040",
    "kind": "arxiv",
    "version": 1
  }
}