Pith Number

pith:53CH3X3Y

pith:2016:53CH3X3YHHT57VMFXQD7PH7P2G

not attested not anchored not stored refs pending

Comments on various extensions of the Riemann-Liouville fractional derivatives : about the Leibniz and chain rule properties

Anna Szafra\'nska, Jacky Cresson

arxiv:1607.02571 v1 · 2016-07-09 · 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{53CH3X3YHHT57VMFXQD7PH7P2G}

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	2026-05-18T01:11:16.794166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eec47ddf7839e7dfd585bc07f79fefd1905ed840104d83ad35f5463f0c87e028

Aliases

arxiv: 1607.02571 · arxiv_version: 1607.02571v1 · doi: 10.48550/arxiv.1607.02571 · pith_short_12: 53CH3X3YHHT5 · pith_short_16: 53CH3X3YHHT57VMF · pith_short_8: 53CH3X3Y

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/53CH3X3YHHT57VMFXQD7PH7P2G \
  | 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: eec47ddf7839e7dfd585bc07f79fefd1905ed840104d83ad35f5463f0c87e028

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7168b239fc202b9e77dd088e6c484141dcbeef657093181a242f3000f41709",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-09T06:52:30Z",
    "title_canon_sha256": "2b76cf03ca315ac19527b2c4f53a8a6af21d5b7e3c53bf86584febee980efbf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.02571",
    "kind": "arxiv",
    "version": 1
  }
}