Pith Number

pith:4XI2XBU7

pith:2019:4XI2XBU745CNO5WENEADI7UFJB

not attested not anchored not stored refs pending

Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian

Dirk Praetorius, Jens Markus Melenk, Markus Faustmann

arxiv:1903.10409 v2 · 2019-03-25 · 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{4XI2XBU745CNO5WENEADI7UFJB}

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	2026-05-17T23:50:18.618440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d1ab869fe744d776c46900347e8548456902c7973a1dc95a0b9576bf88c338

Aliases

arxiv: 1903.10409 · arxiv_version: 1903.10409v2 · doi: 10.48550/arxiv.1903.10409 · pith_short_12: 4XI2XBU745CN · pith_short_16: 4XI2XBU745CNO5WE · pith_short_8: 4XI2XBU7

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/4XI2XBU745CNO5WENEADI7UFJB \
  | 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: e5d1ab869fe744d776c46900347e8548456902c7973a1dc95a0b9576bf88c338

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78d121e2dc9a0c9d9a93ebce5ba811d3a3cd1bf698e4cf6f006976a774e8324b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-03-25T15:48:14Z",
    "title_canon_sha256": "e451c53f930589fc28950106cd4f073322b54924e46c01faee33f0107fbd283d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.10409",
    "kind": "arxiv",
    "version": 2
  }
}