Pith Number

pith:NKKM4F7L

pith:2021:NKKM4F7LSOGEUWTXESC66HCMVV

not attested not anchored not stored refs pending

High-order linearly implicit structure-preserving exponential integrators for the nonlinear Schr\"odinger equation

Chaolong Jiang, Jin Cui, Songhe Song, Xu Qian

arxiv:2103.00390 v2 · 2021-02-28 · 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{NKKM4F7LSOGEUWTXESC66HCMVV}

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	2026-07-05T03:37:40.920848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a94ce17eb938c4a5a772485ef1c4cad61d587daa5ee837d3617d7386c3837d9

Aliases

arxiv: 2103.00390 · arxiv_version: 2103.00390v2 · doi: 10.48550/arxiv.2103.00390 · pith_short_12: NKKM4F7LSOGE · pith_short_16: NKKM4F7LSOGEUWTX · pith_short_8: NKKM4F7L

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/NKKM4F7LSOGEUWTXESC66HCMVV \
  | 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: 6a94ce17eb938c4a5a772485ef1c4cad61d587daa5ee837d3617d7386c3837d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb95a033378c4f42b7ced87112481599d56c92de0ba451828ba1cade12a2802",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-02-28T04:01:38Z",
    "title_canon_sha256": "9a09851f2c32053c1415c9d6538dbc8bd96f6d2d69bee607ecdc3bc7f40ee616"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.00390",
    "kind": "arxiv",
    "version": 2
  }
}