Pith Number

pith:CGC2Q4MK

pith:2019:CGC2Q4MKKX6X5TKVNVHAVGT6HM

not attested not anchored not stored refs pending

An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution

Fernando Olivar-Romero, Oscar Rosas-Ortiz

arxiv:1905.03343 v1 · 2019-05-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGC2Q4MKKX6X5TKVNVHAVGT6HM}

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	2026-05-17T23:40:38.800221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1185a8718a55fd7ecd556d4e0a9a7e3b0acf5fe7cbd8649a324d7b9b5239ee2f

Aliases

arxiv: 1905.03343 · arxiv_version: 1905.03343v1 · doi: 10.48550/arxiv.1905.03343 · pith_short_12: CGC2Q4MKKX6X · pith_short_16: CGC2Q4MKKX6X5TKV · pith_short_8: CGC2Q4MK

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/CGC2Q4MKKX6X5TKVNVHAVGT6HM \
  | 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: 1185a8718a55fd7ecd556d4e0a9a7e3b0acf5fe7cbd8649a324d7b9b5239ee2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9688a9474c93953a2ff83cb86d142508a3e4d9049f03c913f2f787e4659ee79",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-05-08T21:05:37Z",
    "title_canon_sha256": "bd7ce626aa9337e5942a9a4c2ad50246d87f3dff0501171742d68eba54f78e21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03343",
    "kind": "arxiv",
    "version": 1
  }
}