Pith Number

pith:GL5GV4OC

pith:2017:GL5GV4OCX5CS5XASM22J7TO53I

not attested not anchored not stored refs pending

On some new properties of fractional derivatives with Mittag-Leffler kernel

Arran Fernandez, Dumitru Baleanu

arxiv:1712.01762 v1 · 2017-12-05 · 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{GL5GV4OCX5CS5XASM22J7TO53I}

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	2026-05-18T00:25:51.134872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32fa6af1c2bf452edc1266b49fcdddda29aadf7393ef2f66f2aed382a32f453f

Aliases

arxiv: 1712.01762 · arxiv_version: 1712.01762v1 · doi: 10.48550/arxiv.1712.01762 · pith_short_12: GL5GV4OCX5CS · pith_short_16: GL5GV4OCX5CS5XAS · pith_short_8: GL5GV4OC

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/GL5GV4OCX5CS5XASM22J7TO53I \
  | 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: 32fa6af1c2bf452edc1266b49fcdddda29aadf7393ef2f66f2aed382a32f453f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcca1f5e6e06f8cb93ea317cb22ca5694b04bcad8aac03f12602d33839be6850",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-05T17:05:54Z",
    "title_canon_sha256": "ca35623f82fd55763d29856f6990b040509040173f613881696d0d619526f6dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.01762",
    "kind": "arxiv",
    "version": 1
  }
}