Pith Number

pith:ICHUU56V

pith:2015:ICHUU56VLIZURDACVLOJE7B3QG

not attested not anchored not stored refs pending

A regularized representation of the fractional Laplacian in n dimensions and its relation to Weierstrass-Mandelbrot type fractal functions

G\'erard Maugin (IJLRA), Rahman Mujibur, Shahram Derogar (MACE), Thomas Michelitsch (IJLRA)

arxiv:1501.01942 v1 · 2015-01-08 · math-ph · cond-mat.stat-mech · 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{ICHUU56VLIZURDACVLOJE7B3QG}

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	2026-05-18T02:28:53.683506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

408f4a77d55a33488c02aadc927c3b818c559cd1539cbc9e4cddfcb1fc8b5a71

Aliases

arxiv: 1501.01942 · arxiv_version: 1501.01942v1 · doi: 10.48550/arxiv.1501.01942 · pith_short_12: ICHUU56VLIZU · pith_short_16: ICHUU56VLIZURDAC · pith_short_8: ICHUU56V

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/ICHUU56VLIZURDACVLOJE7B3QG \
  | 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: 408f4a77d55a33488c02aadc927c3b818c559cd1539cbc9e4cddfcb1fc8b5a71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd47fe3b6de838fb7011723041fa7d56ff85fb4700ef37170fe30d84123772b3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-08T20:07:25Z",
    "title_canon_sha256": "c69dd768e8e5cd4578b69cc6f5fbdcaa47b5a2e6866105920cd861ddf3b0744a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01942",
    "kind": "arxiv",
    "version": 1
  }
}