Pith Number

pith:7XN3ZM5D

pith:2024:7XN3ZM5DY33EVFZET7ZDNAOWKH

not attested not anchored not stored refs pending

Asymptotic evaluations of generalized Bessel function of order zero related to the p-circle lattice point problem

Masaya Kitajima

arxiv:2411.10850 v4 · 2024-11-16 · math.NT · math.CA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XN3ZM5DY33EVFZET7ZDNAOWKH}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:03:02.198360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fddbbcb3a3c6f64a97249ff23681d651efdbb1b7084fdffe17c40ede5d031b86

Aliases

arxiv: 2411.10850 · arxiv_version: 2411.10850v4 · doi: 10.48550/arxiv.2411.10850 · pith_short_12: 7XN3ZM5DY33E · pith_short_16: 7XN3ZM5DY33EVFZE · pith_short_8: 7XN3ZM5D

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/7XN3ZM5DY33EVFZET7ZDNAOWKH \
  | 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: fddbbcb3a3c6f64a97249ff23681d651efdbb1b7084fdffe17c40ede5d031b86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c1c7d65819c0062c9a20af5f34df957b9f33c663c00b6bec0f314a4c7392f7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-16T17:59:14Z",
    "title_canon_sha256": "e300c2fac958fa059e20b3e34fe5d4900485b509d5c9ac232a73e2a171b55609"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10850",
    "kind": "arxiv",
    "version": 4
  }
}