Pith Number

pith:7GPC2T5Y

pith:2021:7GPC2T5YUYZ2U6LLRKVKEFT3V3

not attested not anchored not stored refs pending

Higher-dimensional soliton generation, stability and excitations of the PT-symmetric nonlinear Schr\"odinger equations

Boris A. Malomed, Yong Chen, Zhenya Yan

arxiv:2111.09482 v1 · 2021-11-18 · nlin.PS · math.AP · physics.comp-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GPC2T5YUYZ2U6LLRKVKEFT3V3}

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	2026-07-05T06:55:37.485554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f99e2d4fb8a633aa796b8aaaa2167baecd32aa5c9a1fae5f9b17132a5876c058

Aliases

arxiv: 2111.09482 · arxiv_version: 2111.09482v1 · doi: 10.48550/arxiv.2111.09482 · pith_short_12: 7GPC2T5YUYZ2 · pith_short_16: 7GPC2T5YUYZ2U6LL · pith_short_8: 7GPC2T5Y

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/7GPC2T5YUYZ2U6LLRKVKEFT3V3 \
  | 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: f99e2d4fb8a633aa796b8aaaa2167baecd32aa5c9a1fae5f9b17132a5876c058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b85e8fcf9e7371ab9d07b3f337986d58ef126a3a8b2109255572fcb93c540874",
    "cross_cats_sorted": [
      "math.AP",
      "physics.comp-ph",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2021-11-18T02:25:52Z",
    "title_canon_sha256": "461d9c672461dc7862ea9086a76772a635183724f7f0c02c74802a8509697744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09482",
    "kind": "arxiv",
    "version": 1
  }
}