Pith Number

pith:GQ4D5W24

pith:2002:GQ4D5W244XK2YYSHVAJO6ZIXLE

not attested not anchored not stored refs pending

Exact Localized Solutions of Quintic Discrete Nonlinear Schr\"odinger Equation

Ken-ichi Maruno, Nalini Joshi, Yasuhiro Ohta

arxiv:nlin/0211025 v4 · 2002-11-18 · nlin.PS · math-ph · math.MP · nlin.SI · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GQ4D5W244XK2YYSHVAJO6ZIXLE}

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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	2026-05-18T01:38:19.618482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34383edb5ce5d5ac6247a812ef65175917c20f7f2b853a7517bcba727844844b

Aliases

arxiv: nlin/0211025 · arxiv_version: nlin/0211025v4 · doi: 10.48550/arxiv.nlin/0211025 · pith_short_12: GQ4D5W244XK2 · pith_short_16: GQ4D5W244XK2YYSH · pith_short_8: GQ4D5W24

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/GQ4D5W244XK2YYSHVAJO6ZIXLE \
  | 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: 34383edb5ce5d5ac6247a812ef65175917c20f7f2b853a7517bcba727844844b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256702d967f8e403670b2c314b4aae7925c62fc6999e77bded45b6088718ddd7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "nlin.PS",
    "submitted_at": "2002-11-18T06:09:24Z",
    "title_canon_sha256": "fc4aed372696d1e8b3c70cd85ae887638ca46e9be2629d389ad199a31d807209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0211025",
    "kind": "arxiv",
    "version": 4
  }
}