Pith Number

pith:GA4PFT3V

pith:2012:GA4PFT3VRFZQBL4ER457BJOUXR

not attested not anchored not stored refs pending

Two definitions of fractional derivatives of power functions

Hanitriarivo Rakotoson, Raboanary Roland, Raoelina Andriambololona, Tokiniaina Ranaivoson

arxiv:1204.1493 v2 · 2012-04-05 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GA4PFT3VRFZQBL4ER457BJOUXR}

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	2026-05-18T02:17:43.392216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3038f2cf75897300af848f3bf0a5d4bc5c5812e2ef9c9c18f168ef5cf08e6e40

Aliases

arxiv: 1204.1493 · arxiv_version: 1204.1493v2 · doi: 10.48550/arxiv.1204.1493 · pith_short_12: GA4PFT3VRFZQ · pith_short_16: GA4PFT3VRFZQBL4E · pith_short_8: GA4PFT3V

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/GA4PFT3VRFZQBL4ER457BJOUXR \
  | 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: 3038f2cf75897300af848f3bf0a5d4bc5c5812e2ef9c9c18f168ef5cf08e6e40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42304cd5bf30722522c23222329d00008819d0668212d0c62dbd1d705263651b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2012-04-05T13:19:07Z",
    "title_canon_sha256": "d35f59fd83971c66e8d8bfcffbe0a606766b12fe2064f22b1a1d18d592362264"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1493",
    "kind": "arxiv",
    "version": 2
  }
}