Pith Number

pith:I74A5CQB

pith:2016:I74A5CQBWMN3MTN6GB2FL2KIHE

not attested not anchored not stored refs pending

New fractional integral unifying six existing fractional integrals

Udita N. Katugampola

arxiv:1612.08596 v1 · 2016-12-22 · 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{I74A5CQBWMN3MTN6GB2FL2KIHE}

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.

Cited by

1 paper in Pith

Generalized substantial fractional operators and well-posedness of Cauchy problem

Receipt and verification

First computed	2026-05-18T00:53:52.578650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f80e8a01b31bb64dbe307455e9483923e7d1c09bcc95c755415a1157849e2b

Aliases

arxiv: 1612.08596 · arxiv_version: 1612.08596v1 · doi: 10.48550/arxiv.1612.08596 · pith_short_12: I74A5CQBWMN3 · pith_short_16: I74A5CQBWMN3MTN6 · pith_short_8: I74A5CQB

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/I74A5CQBWMN3MTN6GB2FL2KIHE \
  | 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: 47f80e8a01b31bb64dbe307455e9483923e7d1c09bcc95c755415a1157849e2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c887bc543f602d8e0d6c2e826ce06e382e3342f2f3dbbfa55c271f8cab4781ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-22T16:48:32Z",
    "title_canon_sha256": "6f77036b571c1e075273b367f7b095272d16a39410d9e6604d0ac9f61e2c9a4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08596",
    "kind": "arxiv",
    "version": 1
  }
}