Pith Number

pith:M6UAIP7I

pith:2018:M6UAIP7IBTVW5LRNDDBTRWC6BH

not attested not anchored not stored refs pending

Spectral Method for the Fractional Laplacian in 2D and 3D

Eric Darve, Kailai Xu

arxiv:1812.08325 v1 · 2018-12-18 · math.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{M6UAIP7IBTVW5LRNDDBTRWC6BH}

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

A time dependent fractional order diffusion equation with constant diffusivity matrix

Receipt and verification

First computed	2026-05-17T23:57:51.580510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a8043fe80ceb6eae2d18c338d85e09c4d5753942af12dea3819d538e037399

Aliases

arxiv: 1812.08325 · arxiv_version: 1812.08325v1 · doi: 10.48550/arxiv.1812.08325 · pith_short_12: M6UAIP7IBTVW · pith_short_16: M6UAIP7IBTVW5LRN · pith_short_8: M6UAIP7I

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/M6UAIP7IBTVW5LRNDDBTRWC6BH \
  | 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: 67a8043fe80ceb6eae2d18c338d85e09c4d5753942af12dea3819d538e037399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce15bb8cb6633773719262b900db32b007949be84188240fd0f87c8b0b65b0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-18T02:36:35Z",
    "title_canon_sha256": "ec880ef08c5319b499164d1748ddd612894bb7db5d98fd04c98a3e6e5cf98df5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08325",
    "kind": "arxiv",
    "version": 1
  }
}