Pith Number

pith:XYNTOJSM

pith:2018:XYNTOJSMUGEP26RLYG6H4K2ZDO

not attested not anchored not stored refs pending

What Is the Fractional Laplacian?

Anna Lischke, Christian Glusa, Fangying Song, George Em Karniadakis, Guofei Pang, Mamikon Gulian, Mark Ainsworth, Mark M. Meerschaert, Wei Cai, Xiaoning Zheng, Zhiping Mao

arxiv:1801.09767 v3 · 2018-01-29 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYNTOJSMUGEP26RLYG6H4K2ZDO}

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.

Cited by

1 paper in Pith

Thermodynamic-limit dispersion relations on trapped-ion quantum hardware

Receipt and verification

First computed	2026-07-05T00:21:46.242209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1b37264ca188fd7a2bc1bc7e2b591b9c52c3a383a3ba74f323a856f687fdab

Aliases

arxiv: 1801.09767 · arxiv_version: 1801.09767v3 · doi: 10.48550/arxiv.1801.09767 · pith_short_12: XYNTOJSMUGEP · pith_short_16: XYNTOJSMUGEP26RL · pith_short_8: XYNTOJSM

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/XYNTOJSMUGEP26RLYG6H4K2ZDO \
  | 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: be1b37264ca188fd7a2bc1bc7e2b591b9c52c3a383a3ba74f323a856f687fdab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82f60a1a99926eaabbe2a041079f4090d43a7f8e32e5ca29413a9e77b24889a9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-01-29T21:28:57Z",
    "title_canon_sha256": "4b255c47132f0db6ad94522c7e87bdc048e279b9addba2fe9f50637d64fb5891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09767",
    "kind": "arxiv",
    "version": 3
  }
}