Pith Number

pith:XDHZ3NKH

pith:2017:XDHZ3NKHOUSGTX3TNUCJWWTLHA

not attested not anchored not stored refs pending

Certain Fractional Kinetic Equations Involving Generalized k-Bessel Function

Abdon Atangana, Gurmej Singh, Mehar Chand, Praveen Agarwal, Shilpi Jain

arxiv:1705.04599 v1 · 2017-05-11 · 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{XDHZ3NKHOUSGTX3TNUCJWWTLHA}

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	2026-05-18T00:44:37.684989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8cf9db547752469df736d049b5a6b3803faf33dc1989342b7b948f5b48395c7

Aliases

arxiv: 1705.04599 · arxiv_version: 1705.04599v1 · doi: 10.48550/arxiv.1705.04599 · pith_short_12: XDHZ3NKHOUSG · pith_short_16: XDHZ3NKHOUSGTX3T · pith_short_8: XDHZ3NKH

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/XDHZ3NKHOUSGTX3TNUCJWWTLHA \
  | 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: b8cf9db547752469df736d049b5a6b3803faf33dc1989342b7b948f5b48395c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a04fc322d592df72c733814959e4fd5a42bea65b8cad6a811bfae0264bf7bd35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-11T09:42:46Z",
    "title_canon_sha256": "7a32582b4649d695931c3f5693b18b42fd447292981312a93cc8e89cfc2366f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04599",
    "kind": "arxiv",
    "version": 1
  }
}