Pith Number

pith:EWA4C3QU

pith:2011:EWA4C3QUT5BZBVUARNYMPIQXRA

not attested not anchored not stored refs pending

Collapsing Estimates and the Rigorous Derivation of the 2d Cubic Nonlinear Schr\"odinger Equation with Anisotropic Switchable Quadratic Traps

Xuwen Chen

arxiv:1102.0593 v6 · 2011-02-03 · 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{EWA4C3QUT5BZBVUARNYMPIQXRA}

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	2026-05-18T03:45:43.868733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2581c16e149f4390d6808b70c7a217883d19541cfde51a0799305fa0598be76b

Aliases

arxiv: 1102.0593 · arxiv_version: 1102.0593v6 · doi: 10.48550/arxiv.1102.0593 · pith_short_12: EWA4C3QUT5BZ · pith_short_16: EWA4C3QUT5BZBVUA · pith_short_8: EWA4C3QU

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/EWA4C3QUT5BZBVUARNYMPIQXRA \
  | 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: 2581c16e149f4390d6808b70c7a217883d19541cfde51a0799305fa0598be76b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6278f024f6cb56f58107dabdc1a2691095ba28d14bd48ddfde768f247e233356",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-03T01:41:29Z",
    "title_canon_sha256": "62348932c0bdc0c334a7db3cd7a10754b7f530a0ebd4a9827cd6dca3f7d10354"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0593",
    "kind": "arxiv",
    "version": 6
  }
}