Pith Number

pith:MALU2XKQ

pith:2018:MALU2XKQWOBIO26GOVAMEVJ7LO

not attested not anchored not stored refs pending

Solutions of systems with the Caputo-Fabrizio fractional delta derivative on time scales

Delfim F. M. Torres, Dorota Mozyrska, Malgorzata Wyrwas

arxiv:1812.00266 v1 · 2018-12-01 · 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{MALU2XKQWOBIO26GOVAMEVJ7LO}

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	2026-05-17T23:58:18.762564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60174d5d50b382876bc67540c2553f5ba6ec7b0856217ba3cde789d086265a11

Aliases

arxiv: 1812.00266 · arxiv_version: 1812.00266v1 · doi: 10.48550/arxiv.1812.00266 · pith_short_12: MALU2XKQWOBI · pith_short_16: MALU2XKQWOBIO26G · pith_short_8: MALU2XKQ

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/MALU2XKQWOBIO26GOVAMEVJ7LO \
  | 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: 60174d5d50b382876bc67540c2553f5ba6ec7b0856217ba3cde789d086265a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d28f4896152a3fdf168ad1b153096d9e2a4e61b079f2537667913190e586cd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-01T21:16:21Z",
    "title_canon_sha256": "3cf772cef727d7c455db761e7e202cc899987381763a09b9d6892a2a47994f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00266",
    "kind": "arxiv",
    "version": 1
  }
}