Pith Number

pith:XN3PNQMQ

pith:2013:XN3PNQMQMVSRM57RRKEZOMTCTJ

not attested not anchored not stored refs pending

Darboux transformation and multi-dark soliton for N-component coupled nonlinear Schr\"odinger equations

Boling Guo, Li-Chen Zhao, Liming Ling

arxiv:1309.1037 v1 · 2013-09-04 · 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{XN3PNQMQMVSRM57RRKEZOMTCTJ}

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	2026-05-18T03:14:09.264540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb76f6c19065651677f18a899732629a67a68e67535644881d50a00e5c915b99

Aliases

arxiv: 1309.1037 · arxiv_version: 1309.1037v1 · doi: 10.48550/arxiv.1309.1037 · pith_short_12: XN3PNQMQMVSR · pith_short_16: XN3PNQMQMVSRM57R · pith_short_8: XN3PNQMQ

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/XN3PNQMQMVSRM57RRKEZOMTCTJ \
  | 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: bb76f6c19065651677f18a899732629a67a68e67535644881d50a00e5c915b99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2498e8ce2b2581803b1a66d94eb26779e07fd5d3670e8040c0a87b7fdcbbfe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2013-09-04T14:17:04Z",
    "title_canon_sha256": "262025a63d24b95a8f3721184578c1b42822fd2f554369a0838776f3ebe6bad8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1037",
    "kind": "arxiv",
    "version": 1
  }
}