Pith Number

pith:NALMQWBQ

pith:2019:NALMQWBQOAQSFWH2LKCT3HIEP7

not attested not anchored not stored refs pending

A Note on Nonlinear Schr\"odinger Equations: Unveiling the Relation Between Spectral Gaps and the Nonlinearity Behavior

Liliane A. Maia, Mayra Soares Costa Rodrigues

arxiv:1902.07184 v2 · 2019-02-19 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NALMQWBQOAQSFWH2LKCT3HIEP7}

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	2026-05-17T23:53:02.466479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6816c85830702122d8fa5a853d9d047fc7c4f386f82ad29fcb159985d60a1140

Aliases

arxiv: 1902.07184 · arxiv_version: 1902.07184v2 · doi: 10.48550/arxiv.1902.07184 · pith_short_12: NALMQWBQOAQS · pith_short_16: NALMQWBQOAQSFWH2 · pith_short_8: NALMQWBQ

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/NALMQWBQOAQSFWH2LKCT3HIEP7 \
  | 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: 6816c85830702122d8fa5a853d9d047fc7c4f386f82ad29fcb159985d60a1140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86c1572a162e958a5931e0e6df89d97899c17ee5682ee084633fd48a8a643f16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-02-19T18:31:07Z",
    "title_canon_sha256": "9ce8fa3b732e939bb1b91f87afb28b06807833fb1f81a336a1d5246fdb3a8c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07184",
    "kind": "arxiv",
    "version": 2
  }
}