Pith Number

pith:XTV2CWQW

pith:2020:XTV2CWQWRRKXVKE4MHU6LE6WBY

not attested not anchored not stored refs pending

The double-power nonlinear Schr\"odinger equation and its generalizations: uniqueness, non-degeneracy and applications

Mathieu Lewin, Simona Rota Nodari

arxiv:2006.02809 v1 · 2020-06-04 · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTV2CWQWRRKXVKE4MHU6LE6WBY}

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	2026-07-05T01:08:00.217177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bceba15a168c557aa89c61e9e593d60e0102fb6cfc646199d5ea4efaf8ba28f1

Aliases

arxiv: 2006.02809 · arxiv_version: 2006.02809v1 · doi: 10.48550/arxiv.2006.02809 · pith_short_12: XTV2CWQWRRKX · pith_short_16: XTV2CWQWRRKXVKE4 · pith_short_8: XTV2CWQW

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/XTV2CWQWRRKXVKE4MHU6LE6WBY \
  | 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: bceba15a168c557aa89c61e9e593d60e0102fb6cfc646199d5ea4efaf8ba28f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049e641171c5978382d25fe54e7e93a9e8757ffaf3654fd0cc5b753f3a7a0d07",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-04T12:14:49Z",
    "title_canon_sha256": "ae31e565117c1782b0487273248639377b4815c918a96e8a0e75930232f8d624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02809",
    "kind": "arxiv",
    "version": 1
  }
}