Pith Number

pith:426AWLZK

pith:2015:426AWLZKCQVMRKY3D2JZXK45GB

not attested not anchored not stored refs pending

Solutions of Linear Fractional non-Homogeneous Differential Equations with Jumarie Fractional Derivative and Evaluation of Particular Integrals

Shantanu Das, Susmita Sarkar, Uttam Ghosh

arxiv:1508.05831 v1 · 2015-08-17 · 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{426AWLZKCQVMRKY3D2JZXK45GB}

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	2026-05-18T01:19:15.973567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6bc0b2f2a142ac8ab1b1e939bab9d304efa4581e6da4a309f10be1d8cd2b995

Aliases

arxiv: 1508.05831 · arxiv_version: 1508.05831v1 · doi: 10.48550/arxiv.1508.05831 · pith_short_12: 426AWLZKCQVM · pith_short_16: 426AWLZKCQVMRKY3 · pith_short_8: 426AWLZK

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/426AWLZKCQVMRKY3D2JZXK45GB \
  | 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: e6bc0b2f2a142ac8ab1b1e939bab9d304efa4581e6da4a309f10be1d8cd2b995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33518ea7f40ba2cc07dbc5308ec2ae87685b1f98a1895bf5d50cff7ef0854241",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-08-17T11:05:13Z",
    "title_canon_sha256": "ef0692db7775e51229ed2d51673be2aac6f357822187c0172efb9794e0fa4f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05831",
    "kind": "arxiv",
    "version": 1
  }
}