Pith Number

pith:JNF6B56P

pith:2015:JNF6B56PLFPVHLQTIAEYA6SNPP

not attested not anchored not stored refs pending

Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schroedinger equation

Boris A. Malomed, Yunqing Yang, Zhenya Yan

arxiv:1509.05886 v1 · 2015-09-19 · nlin.PS · math-ph · math.MP · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JNF6B56PLFPVHLQTIAEYA6SNPP}

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	2026-05-18T00:47:37.056088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b4be0f7cf595f53ae134009807a4d7be7a453f70a7c6c398fe5ddab6f3869ef

Aliases

arxiv: 1509.05886 · arxiv_version: 1509.05886v1 · doi: 10.48550/arxiv.1509.05886 · pith_short_12: JNF6B56PLFPV · pith_short_16: JNF6B56PLFPVHLQT · pith_short_8: JNF6B56P

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/JNF6B56PLFPVHLQTIAEYA6SNPP \
  | 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: 4b4be0f7cf595f53ae134009807a4d7be7a453f70a7c6c398fe5ddab6f3869ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05b750d0fe2051bbceff54d6c238a7661f2f2337c3c7053816bcaf527942e097",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2015-09-19T13:06:55Z",
    "title_canon_sha256": "d5c89f78fca686536e2abf2fd0a3ac00f0ee5f0f76e568a97d633a1a02612504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05886",
    "kind": "arxiv",
    "version": 1
  }
}