Pith Number

pith:JLLUJEQL

pith:2010:JLLUJEQLWVVWTMJHCOHFPQK6MU

not attested not anchored not stored refs pending

Weber-Schafheitlin integrals with arbitrary exponent

Micha{\l} Wrochna

arxiv:1004.5518 v1 · 2010-04-30 · math.CA · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLLUJEQLWVVWTMJHCOHFPQK6MU}

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.

Receipt and verification

First computed	2026-05-18T02:24:09.869956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad744920bb56b69b127138e57c15e653791f03c2b536f933f1a6dd717a40163

Aliases

arxiv: 1004.5518 · arxiv_version: 1004.5518v1 · doi: 10.48550/arxiv.1004.5518 · pith_short_12: JLLUJEQLWVVW · pith_short_16: JLLUJEQLWVVWTMJH · pith_short_8: JLLUJEQL

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/JLLUJEQLWVVWTMJHCOHFPQK6MU \
  | 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: 4ad744920bb56b69b127138e57c15e653791f03c2b536f933f1a6dd717a40163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25a9cd9e1b5176fe749a503682c68837a17a5b3a2a5011c4089f581de0480bcd",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-04-30T13:03:08Z",
    "title_canon_sha256": "ec569d9e99965d75ba4d785a0e1840b1b3cda962f5e52ac074da2228def953e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5518",
    "kind": "arxiv",
    "version": 1
  }
}