Pith Number

pith:L3CYAP4K

pith:2012:L3CYAP4KZG5LF7IPZDLIFYOUXC

not attested not anchored not stored refs pending

On the Rigorous Derivation of the 3D Cubic Nonlinear Schr\"odinger Equation with A Quadratic Trap

Xuwen Chen

arxiv:1204.0125 v3 · 2012-03-31 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L3CYAP4KZG5LF7IPZDLIFYOUXC}

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	2026-05-18T03:13:34.273744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ec5803f8ac9bab2fd0fc8d682e1d4b8a8552a0ed70efe0c0d558e971943245b

Aliases

arxiv: 1204.0125 · arxiv_version: 1204.0125v3 · doi: 10.48550/arxiv.1204.0125 · pith_short_12: L3CYAP4KZG5L · pith_short_16: L3CYAP4KZG5LF7IP · pith_short_8: L3CYAP4K

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/L3CYAP4KZG5LF7IPZDLIFYOUXC \
  | 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: 5ec5803f8ac9bab2fd0fc8d682e1d4b8a8552a0ed70efe0c0d558e971943245b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aabd2b904e7f47e7f149d1878214d520d1264b509b2c05f71b96070d7326b7e9",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-03-31T19:38:11Z",
    "title_canon_sha256": "cfb12a06bf52acec0c8226a23136c9dafa32fba295f263cea4cb1ec9f6929864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0125",
    "kind": "arxiv",
    "version": 3
  }
}