Pith Number

pith:BWJSUTF5

pith:2014:BWJSUTF54LPS53VJ5F5MZUTAUW

not attested not anchored not stored refs pending

Fractional Laplacian matrix on the finite periodic linear chain and its periodic Riesz fractional derivative continuum limit

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

arxiv:1412.5904 v1 · 2014-12-18 · 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{BWJSUTF54LPS53VJ5F5MZUTAUW}

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	2026-05-18T02:30:25.303972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d932a4cbde2df2eeea9e97accd260a58956d3bfb3afa354ddb4b3aca49edc0f

Aliases

arxiv: 1412.5904 · arxiv_version: 1412.5904v1 · doi: 10.48550/arxiv.1412.5904 · pith_short_12: BWJSUTF54LPS · pith_short_16: BWJSUTF54LPS53VJ · pith_short_8: BWJSUTF5

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/BWJSUTF54LPS53VJ5F5MZUTAUW \
  | 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: 0d932a4cbde2df2eeea9e97accd260a58956d3bfb3afa354ddb4b3aca49edc0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2116df1ee4c69fa55f69725d0d0a986afdb78580259841452867d021839ea9",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-12-18T15:49:48Z",
    "title_canon_sha256": "1fcc3a5e1726e1f1f7dccee70d3e107953c1d982483b91384bd14fbd4e59ec1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5904",
    "kind": "arxiv",
    "version": 1
  }
}