Pith Number

pith:YSD3B6HZ

pith:2015:YSD3B6HZT6SKRIMHQHHODIE6JZ

not attested not anchored not stored refs pending

Lattice fractional Laplacian and its continuum limit kernel on the finite cyclic chain

Andrzej Nowakowski (University of Sheffield), Bernard Collet (IJLRA), Franck Nicolleau, Thomas Michelitsch (IJLRA)

arxiv:1511.01251 v1 · 2015-11-04 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YSD3B6HZT6SKRIMHQHHODIE6JZ}

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	2026-05-18T01:22:33.444069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c487b0f8f99fa4a8a18781cee1a09e4e605d7ea3d7ec138fc9892c7bf5f40a1e

Aliases

arxiv: 1511.01251 · arxiv_version: 1511.01251v1 · doi: 10.48550/arxiv.1511.01251 · pith_short_12: YSD3B6HZT6SK · pith_short_16: YSD3B6HZT6SKRIMH · pith_short_8: YSD3B6HZ

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/YSD3B6HZT6SKRIMHQHHODIE6JZ \
  | 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: c487b0f8f99fa4a8a18781cee1a09e4e605d7ea3d7ec138fc9892c7bf5f40a1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32dac35d4939769911572c49b961890b0782abe6ab2e2fc11d8fdbbcfd2be7b1",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-11-04T09:22:54Z",
    "title_canon_sha256": "9c0daa73568abb0f48f74409318a56e280bc6f290b825c4864d9fbf0af295169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01251",
    "kind": "arxiv",
    "version": 1
  }
}