Pith Number

pith:6SX337HY

pith:2016:6SX337HYAAI5CGMSXYR4L66VCG

not attested not anchored not stored refs pending

A characterization of arithmetic functions satisfying $f(u^{2}+kv^{2})=f^{2}(u)+kf^{2}(v)$

Lihua You, Pingzhi Yuan, Yafei Chen

arxiv:1606.05039 v1 · 2016-06-16 · 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{6SX337HYAAI5CGMSXYR4L66VCG}

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	2026-05-18T01:12:22.160649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4afbdfcf80011d11992be23c5fbd511b4333778556982177a220ca912fda50b

Aliases

arxiv: 1606.05039 · arxiv_version: 1606.05039v1 · doi: 10.48550/arxiv.1606.05039 · pith_short_12: 6SX337HYAAI5 · pith_short_16: 6SX337HYAAI5CGMS · pith_short_8: 6SX337HY

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/6SX337HYAAI5CGMSXYR4L66VCG \
  | 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: f4afbdfcf80011d11992be23c5fbd511b4333778556982177a220ca912fda50b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7064e2ef4c89296ed58319d420088e444e99f84a1df219a9f595f1e08cac10e7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-06-16T03:38:52Z",
    "title_canon_sha256": "c34dbdba4ed6af116c829d46fb32cea4858d576a19d9f83e679a262f1b66d88f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05039",
    "kind": "arxiv",
    "version": 1
  }
}