Pith Number

pith:JJVJISTL

pith:2015:JJVJISTLX3Z4SKPHYKR2N3RP3A

not attested not anchored not stored refs pending

An approximation formula for the Katugampola integral

Nuno R. O. Bastos, Ricardo Almeida

arxiv:1512.03791 v1 · 2015-11-24 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJVJISTLX3Z4SKPHYKR2N3RP3A}

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	2026-05-18T01:24:31.327225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a6a944a6bbef3c929e7c2a3a6ee2fd80e80dadc82c4ad57dc17ad4169295daa

Aliases

arxiv: 1512.03791 · arxiv_version: 1512.03791v1 · doi: 10.48550/arxiv.1512.03791 · pith_short_12: JJVJISTLX3Z4 · pith_short_16: JJVJISTLX3Z4SKPH · pith_short_8: JJVJISTL

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/JJVJISTLX3Z4SKPHYKR2N3RP3A \
  | 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: 4a6a944a6bbef3c929e7c2a3a6ee2fd80e80dadc82c4ad57dc17ad4169295daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41a96daf578114062b20ee8481e42603be364e2c4ea371577efeb7c13b721a3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-11-24T12:40:08Z",
    "title_canon_sha256": "6bf974ddfb3ef54e266aeba25ed877b48ca6f7fd9bd2eebfd9fd3c678b4c19af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03791",
    "kind": "arxiv",
    "version": 1
  }
}