Pith Number

pith:RHLMYGAE

pith:2010:RHLMYGAEW2NY2E6WFA2D65YCBI

not attested not anchored not stored refs pending

On the number of pairs of positive integers $x, y \le H$ such that $x^2 + y^2 + 1$ is squarefree

Doychin Tolev

arxiv:1007.0353 v2 · 2010-07-02 · 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{RHLMYGAEW2NY2E6WFA2D65YCBI}

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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	2026-05-18T04:41:05.814575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89d6cc1804b69b8d13d628343f77020a06186c0aeb5a1e4457ac4b5f57d08b8e

Aliases

arxiv: 1007.0353 · arxiv_version: 1007.0353v2 · doi: 10.48550/arxiv.1007.0353 · pith_short_12: RHLMYGAEW2NY · pith_short_16: RHLMYGAEW2NY2E6W · pith_short_8: RHLMYGAE

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/RHLMYGAEW2NY2E6WFA2D65YCBI \
  | 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: 89d6cc1804b69b8d13d628343f77020a06186c0aeb5a1e4457ac4b5f57d08b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d76dfe07900a5f3d5f968036aaffb512aa9e32940955f192c0c31aed33f6e533",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-07-02T12:36:40Z",
    "title_canon_sha256": "781d243c5644bd3f314d91fe59647cee519ed5c1799a9c3da356df108407bf8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0353",
    "kind": "arxiv",
    "version": 2
  }
}