Pith Number

pith:3XW3GU7K

pith:2015:3XW3GU7KMIBIR744DSZN5OQ6HT

not attested not anchored not stored refs pending

Analytic Solution of Linear Fractional Differential Equation with Jumarie Derivative in Term of Mittag-Leffler Function

Shantanu Das, Srijan Sengupta, Susmita Sarkar, Uttam Ghosh

arxiv:1505.06514 v1 · 2015-05-15 · 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{3XW3GU7KMIBIR744DSZN5OQ6HT}

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	2026-05-18T01:19:16.108861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddedb353ea620288ff9c1cb2deba1e3cfa646f8d6e883d77a527931f79223e69

Aliases

arxiv: 1505.06514 · arxiv_version: 1505.06514v1 · doi: 10.48550/arxiv.1505.06514 · pith_short_12: 3XW3GU7KMIBI · pith_short_16: 3XW3GU7KMIBIR744 · pith_short_8: 3XW3GU7K

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/3XW3GU7KMIBIR744DSZN5OQ6HT \
  | 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: ddedb353ea620288ff9c1cb2deba1e3cfa646f8d6e883d77a527931f79223e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0c84d62e90464a30c7a5912f864cde5c4b0f5e15d6d39273e450838f9f223f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-05-15T12:41:43Z",
    "title_canon_sha256": "d94c9b10fb1e8263eaa9d1d8adb0e01eed522cdc7ef8ffb3d6acdadf5e35e1e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06514",
    "kind": "arxiv",
    "version": 1
  }
}