Pith Number

pith:XYQWQSRJ

pith:2013:XYQWQSRJOAZMCBURAL7DNLEK7N

not attested not anchored not stored refs pending

Plane wave stability of the split-step Fourier method for the nonlinear Schr\"odinger equation

Christian Lubich, Erwan Faou, Ludwig Gauckler

arxiv:1306.0656 v2 · 2013-06-04 · 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{XYQWQSRJOAZMCBURAL7DNLEK7N}

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	2026-05-18T03:05:44.414954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be21684a297032c1069102fe36ac8afb4853b68aef504aaa05340380c1eb9d33

Aliases

arxiv: 1306.0656 · arxiv_version: 1306.0656v2 · doi: 10.48550/arxiv.1306.0656 · pith_short_12: XYQWQSRJOAZM · pith_short_16: XYQWQSRJOAZMCBUR · pith_short_8: XYQWQSRJ

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/XYQWQSRJOAZMCBURAL7DNLEK7N \
  | 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: be21684a297032c1069102fe36ac8afb4853b68aef504aaa05340380c1eb9d33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d96b991b9cc9f4f671d202a913095844de89af2d2d4749130b6de37461436e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-06-04T05:18:36Z",
    "title_canon_sha256": "2ebbb6d9fa0af2c9af65d6b523ef8a2e035574e1e32c614081c982a14066eed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0656",
    "kind": "arxiv",
    "version": 2
  }
}