Pith Number

pith:CXWHMVSY

pith:2015:CXWHMVSYVWTYNP3AQMRVWXRUVG

not attested not anchored not stored refs pending

Nonlocal nonlinear Schr\"odinger equation and its discrete version: soliton solutions and gauge equivalence

Li-Yuan Ma, Zuo-nong Zhu

arxiv:1503.06909 v1 · 2015-03-24 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CXWHMVSYVWTYNP3AQMRVWXRUVG}

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	2026-05-18T01:04:22.983413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15ec765658ada786bf6083235b5e34a99d195727db8a54b34fb7a66fd4074447

Aliases

arxiv: 1503.06909 · arxiv_version: 1503.06909v1 · doi: 10.48550/arxiv.1503.06909 · pith_short_12: CXWHMVSYVWTY · pith_short_16: CXWHMVSYVWTYNP3A · pith_short_8: CXWHMVSY

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/CXWHMVSYVWTYNP3AQMRVWXRUVG \
  | 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: 15ec765658ada786bf6083235b5e34a99d195727db8a54b34fb7a66fd4074447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7114636e5a7cfa809652d17b6e97293ee74af17cefa8864862b6755b07f25fad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2015-03-24T04:32:35Z",
    "title_canon_sha256": "bb662170a21ddfd255b249f462b2b837614799516ffcb2037e1ade6dfc4bee2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06909",
    "kind": "arxiv",
    "version": 1
  }
}