Pith Number

pith:JLZPQVZX

pith:2018:JLZPQVZXLT4YYB3XFH7EHWAURF

not attested not anchored not stored refs pending

Fractional derivative of composite functions: exact results and physical applications

Anastasia Gladkina, Gavriil Shchedrin, Lincoln D. Carr, Nathanael C. Smith

arxiv:1803.05018 v2 · 2018-03-07 · math.CA · 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{JLZPQVZXLT4YYB3XFH7EHWAURF}

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	2026-05-17T23:56:41.443994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4af2f857375cf98c077729fe43d81489709468525b14ff4eb04a8d7c8b3d1682

Aliases

arxiv: 1803.05018 · arxiv_version: 1803.05018v2 · doi: 10.48550/arxiv.1803.05018 · pith_short_12: JLZPQVZXLT4Y · pith_short_16: JLZPQVZXLT4YYB3X · pith_short_8: JLZPQVZX

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/JLZPQVZXLT4YYB3XFH7EHWAURF \
  | 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: 4af2f857375cf98c077729fe43d81489709468525b14ff4eb04a8d7c8b3d1682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db41662476580bf9d073553b7895896a28a492383a26ec60bf565a3594248cbe",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-07T21:19:44Z",
    "title_canon_sha256": "24b2a4f38aa9876f73130d55a0e1e2559397eb9ca0358b46d9b649015caf7863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05018",
    "kind": "arxiv",
    "version": 2
  }
}