Pith Number

pith:R3LE63HL

pith:2018:R3LE63HLPBWEHSY77ERQGOXAVU

not attested not anchored not stored refs pending

Leibniz type rule: $\Psi-$Hilfer fractional derivative

E. Capelas de Oliveira, J. Vanterler da C. Sousa

arxiv:1811.02717 v1 · 2018-11-07 · 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{R3LE63HLPBWEHSY77ERQGOXAVU}

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	2026-05-18T00:01:20.960184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed64f6ceb786c43cb1ff923033ae0ad1f38b7ab5f2b5a46c790f27f5331d8dd

Aliases

arxiv: 1811.02717 · arxiv_version: 1811.02717v1 · doi: 10.48550/arxiv.1811.02717 · pith_short_12: R3LE63HLPBWE · pith_short_16: R3LE63HLPBWEHSY7 · pith_short_8: R3LE63HL

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/R3LE63HLPBWEHSY77ERQGOXAVU \
  | 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: 8ed64f6ceb786c43cb1ff923033ae0ad1f38b7ab5f2b5a46c790f27f5331d8dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3bbd567cc68abdb9520ec7e9d0b1eccbd170ced7ef8455de7c13fc576d6b626",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-07T01:34:37Z",
    "title_canon_sha256": "7b80df0235bffb4bf6c78ae098a88c5531b1220355ed9a79cf7183dde1ea2381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02717",
    "kind": "arxiv",
    "version": 1
  }
}