Pith Number

pith:SMVE7SQX

pith:2020:SMVE7SQXTVQMNWWDRU73R6B3JF

not attested not anchored not stored refs pending

Bounds for an integral of the modified Bessel function of the first kind and expressions involving it

Robert E. Gaunt

arxiv:2007.11300 v1 · 2020-07-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMVE7SQXTVQMNWWDRU73R6B3JF}

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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

$L^p$-Legendre Transforms and Mahler integrals: Asymptotics and the Fokker--Planck heat flow

Receipt and verification

First computed	2026-07-05T02:30:59.011443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

932a4fca179d60c6dac38d3fb8f83b496f476665f9de2788d8f1eda006dbec62

Aliases

arxiv: 2007.11300 · arxiv_version: 2007.11300v1 · doi: 10.48550/arxiv.2007.11300 · pith_short_12: SMVE7SQXTVQM · pith_short_16: SMVE7SQXTVQMNWWD · pith_short_8: SMVE7SQX

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/SMVE7SQXTVQMNWWDRU73R6B3JF \
  | 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: 932a4fca179d60c6dac38d3fb8f83b496f476665f9de2788d8f1eda006dbec62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b479644cef0aa8346db1aa0c23ff4e39f0a9792791a46578af0f978fbd45a682",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-07-22T09:36:15Z",
    "title_canon_sha256": "aca9e7c0185cad6f11328b19dd135bdce62c9d426b239a73280251995c57c17d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.11300",
    "kind": "arxiv",
    "version": 1
  }
}