Pith Number

pith:SZ5FNLFP

pith:2020:SZ5FNLFPAYKVRHHEEP5XRKTTRR

not attested not anchored not stored refs pending

Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications

Arzu Ahmadova, Ismail T. Huseynov, Nazim I. Mahmudov

arxiv:2012.11360 v1 · 2020-12-18 · 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{SZ5FNLFPAYKVRHHEEP5XRKTTRR}

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

Transparent boundary conditions for the spatially discrete Schr\"odinger equation: Reflectionless quantum transport in 1D lattices

Receipt and verification

First computed	2026-07-05T02:01:01.402027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

967a56acaf0615589ce423fb78aa738c6a3e7f73bd8eb03a07b2752372bc3059

Aliases

arxiv: 2012.11360 · arxiv_version: 2012.11360v1 · doi: 10.48550/arxiv.2012.11360 · pith_short_12: SZ5FNLFPAYKV · pith_short_16: SZ5FNLFPAYKVRHHE · pith_short_8: SZ5FNLFP

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/SZ5FNLFPAYKVRHHEEP5XRKTTRR \
  | 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: 967a56acaf0615589ce423fb78aa738c6a3e7f73bd8eb03a07b2752372bc3059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79f159fd133a7de99273bd7625f8029c650c0661eb4d2b52077dad50fd284167",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2020-12-18T12:07:33Z",
    "title_canon_sha256": "daa8e3d344d71cbfff4b7f587025b5e3a9730f62607f17c9e0953d0a9349230a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.11360",
    "kind": "arxiv",
    "version": 1
  }
}