Pith Number

pith:OFRSQO63

pith:2016:OFRSQO63YOFL2S5RL4DO6ED7T2

not attested not anchored not stored refs pending

Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel

Dumitru Baleanu, Thabet Abdeljawad

arxiv:1607.00262 v1 · 2016-06-25 · 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{OFRSQO63YOFL2S5RL4DO6ED7T2}

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	2026-05-18T01:11:37.797262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7163283bdbc38abd4bb15f06ef107f9e90baa74e85f262971b524a74ef495f08

Aliases

arxiv: 1607.00262 · arxiv_version: 1607.00262v1 · doi: 10.48550/arxiv.1607.00262 · pith_short_12: OFRSQO63YOFL · pith_short_16: OFRSQO63YOFL2S5R · pith_short_8: OFRSQO63

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/OFRSQO63YOFL2S5RL4DO6ED7T2 \
  | 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: 7163283bdbc38abd4bb15f06ef107f9e90baa74e85f262971b524a74ef495f08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697bf2178150b006d7a1ea6e1234b0cd4829e65b554579adfc0bf61c6f9b4964",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-25T20:11:48Z",
    "title_canon_sha256": "0f2f3d89b5c54c52124e0600012b9a0fff7ce5bbecf123ccbd712261a0a71f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00262",
    "kind": "arxiv",
    "version": 1
  }
}