Pith Number

pith:HQDVQQSI

pith:2025:HQDVQQSIVNZGGN3ZYYXZSVH4FB

not attested not anchored not stored refs pending

Generalized Hardy's identity for the astroid-type p-circle lattice point problem

Masaya Kitajima

arxiv:2506.03331 v2 · 2025-06-03 · 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{HQDVQQSIVNZGGN3ZYYXZSVH4FB}

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

Analytic Study of $p$-Bessel Functions: Fractional Calculus, Integral Representations, and Complex Extensions

Receipt and verification

First computed	2026-07-05T11:23:29.219099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c07584248ab72633779c62f9954fc285e34436e34c8420cee72fcb0932564ea

Aliases

arxiv: 2506.03331 · arxiv_version: 2506.03331v2 · doi: 10.48550/arxiv.2506.03331 · pith_short_12: HQDVQQSIVNZG · pith_short_16: HQDVQQSIVNZGGN3Z · pith_short_8: HQDVQQSI

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/HQDVQQSIVNZGGN3ZYYXZSVH4FB \
  | 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: 3c07584248ab72633779c62f9954fc285e34436e34c8420cee72fcb0932564ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e20b484c849098918150b138f2e4502c2e3841a30463b1f847735e4a2bbc7c00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-03T19:25:17Z",
    "title_canon_sha256": "7d436bc095e306271f16eb0e6178aef2da2adb9edf82fd8b1b320e639adec5ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03331",
    "kind": "arxiv",
    "version": 2
  }
}