pith. sign in
Pith Number

pith:PV7O425P

pith:2016:PV7O425PA6INHXAKNKRXSQ5WG7
not attested not anchored not stored refs pending

Multiple complex-valued solutions for nonlinear magnetic Schrodinger equations

Kazunaga Tanaka, Louis Jeanjean, Silvia Cingolani

arxiv:1604.06188 v2 · 2016-04-21 · 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{PV7O425PA6INHXAKNKRXSQ5WG7}

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 2026-05-18T01:12:34.248335Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d7eee6baf0790d3dc0a6aa37943b637f0a2a3e8353b08f5161724c4381b0e8b

Aliases

arxiv: 1604.06188 · arxiv_version: 1604.06188v2 · doi: 10.48550/arxiv.1604.06188 · pith_short_12: PV7O425PA6IN · pith_short_16: PV7O425PA6INHXAK · pith_short_8: PV7O425P
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/PV7O425PA6INHXAKNKRXSQ5WG7 \
  | 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: 7d7eee6baf0790d3dc0a6aa37943b637f0a2a3e8353b08f5161724c4381b0e8b
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "6ec7e46f6de025fcd2eb563d8ee71abfd355888fe61e9b7457666e3bd53c5e81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-21T05:53:43Z",
    "title_canon_sha256": "981468750ce4591349013fc6b72a2e58835019a282c8771c07c7757ad57c1f6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06188",
    "kind": "arxiv",
    "version": 2
  }
}