Pith Number

pith:5YXSPPID

pith:2018:5YXSPPIDQL2V2FDUGNNCHLDD3N

not attested not anchored not stored refs pending

The Variable-Order Fractional Calculus of Variations

Delfim F. M. Torres, Dina Tavares, Ricardo Almeida

arxiv:1805.00720 v2 · 2018-05-02 · math.OC · 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{5YXSPPIDQL2V2FDUGNNCHLDD3N}

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	2026-05-18T00:13:04.142829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2f27bd0382f55d1474335a23ac63db7c0caede03718b51b8352ef9b9c57bfb

Aliases

arxiv: 1805.00720 · arxiv_version: 1805.00720v2 · doi: 10.48550/arxiv.1805.00720 · pith_short_12: 5YXSPPIDQL2V · pith_short_16: 5YXSPPIDQL2V2FDU · pith_short_8: 5YXSPPID

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/5YXSPPIDQL2V2FDUGNNCHLDD3N \
  | 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: ee2f27bd0382f55d1474335a23ac63db7c0caede03718b51b8352ef9b9c57bfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6839bcac99ed09643f1acb564fd7af5a74957f3b92c0cfb207695f61e867f5cb",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-02T10:39:07Z",
    "title_canon_sha256": "20b9c0c3e167b76ce452e39002cfa026199a4e1ccc246fbefd402d5162157a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00720",
    "kind": "arxiv",
    "version": 2
  }
}