Pith Number

pith:SG32XKRB

pith:2025:SG32XKRBLLAUC4GUNQAOII76JK

not attested not anchored not stored refs pending

Identities and inequalities for integral transforms involving squares of the Bessel functions

Soichiro Suzuki

arxiv:2511.00137 v2 · 2025-10-31 · math.CA · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SG32XKRBLLAUC4GUNQAOII76JK}

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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

Optimal constants of smoothing estimates for quantum harmonic oscillators

Receipt and verification

First computed	2026-06-03T01:05:06.932791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91b7abaa215ac14170d46c00e423fe4ab7a9ab904455e2260461e34002ee7ac2

Aliases

arxiv: 2511.00137 · arxiv_version: 2511.00137v2 · doi: 10.48550/arxiv.2511.00137 · pith_short_12: SG32XKRBLLAU · pith_short_16: SG32XKRBLLAUC4GU · pith_short_8: SG32XKRB

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/SG32XKRBLLAUC4GUNQAOII76JK \
  | 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: 91b7abaa215ac14170d46c00e423fe4ab7a9ab904455e2260461e34002ee7ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "174a88892d467b06a12b3dac5182d595750a754722bee8997e95e2897570c570",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2025-10-31T15:58:10Z",
    "title_canon_sha256": "78b70922e68203d97a232e16000939b1844fd12183e6d384fee5f35cb2b088fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.00137",
    "kind": "arxiv",
    "version": 2
  }
}