Pith Number

pith:5QJCMIN6

pith:2018:5QJCMIN67GP2OPDEYMG5U652DW

not attested not anchored not stored refs pending

Global Solution to a Nonlinear Fractional Differential Equation for the Caputo-Fabrizio Derivative

Domingo Tarzia, Lucas Venturato, Sabrina Roscani

arxiv:1809.02189 v1 · 2018-09-06 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QJCMIN67GP2OPDEYMG5U652DW}

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	2026-05-18T00:06:17.704935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec122621bef99fa73c64c30dda7bba1db303e381ff33c7fa552912e1dd8379b9

Aliases

arxiv: 1809.02189 · arxiv_version: 1809.02189v1 · doi: 10.48550/arxiv.1809.02189 · pith_short_12: 5QJCMIN67GP2 · pith_short_16: 5QJCMIN67GP2OPDE · pith_short_8: 5QJCMIN6

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/5QJCMIN67GP2OPDEYMG5U652DW \
  | 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: ec122621bef99fa73c64c30dda7bba1db303e381ff33c7fa552912e1dd8379b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2978f2fa3d077838a72f0a9bc57718674be88c3d4eb8a3354de4f54ae6df388",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-06T19:43:46Z",
    "title_canon_sha256": "02245b508adca5c8dd0617bab60b1a7ab820e337b97893edb269e002c369f21f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02189",
    "kind": "arxiv",
    "version": 1
  }
}