Pith Number

pith:FUX66NNR

pith:2009:FUX66NNRX5X2HV5ZF72ODKYX7S

not attested not anchored not stored refs pending

Spatial-Spectral Vortex Solitons in Quadratic Lattices

Andrey A. Sukhorukov, Zhiyong Xu

arxiv:0903.1890 v1 · 2009-03-11 · physics.optics · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUX66NNRX5X2HV5ZF72ODKYX7S}

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	2026-05-18T02:14:36.040515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d2fef35b1bf6fa3d7b92ff4e1ab17fcbe1461b0eda95921de7191bd57d116d3

Aliases

arxiv: 0903.1890 · arxiv_version: 0903.1890v1 · doi: 10.48550/arxiv.0903.1890 · pith_short_12: FUX66NNRX5X2 · pith_short_16: FUX66NNRX5X2HV5Z · pith_short_8: FUX66NNR

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/FUX66NNRX5X2HV5ZF72ODKYX7S \
  | 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: 2d2fef35b1bf6fa3d7b92ff4e1ab17fcbe1461b0eda95921de7191bd57d116d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c016cf1a4988874214f732aad1a0387b1711bc35f13f53c755812effa17b170f",
    "cross_cats_sorted": [
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2009-03-11T02:05:46Z",
    "title_canon_sha256": "4048a806c091c0de5d3bbd19d67a742ab626df312ae5d5bbde96a8180928568c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1890",
    "kind": "arxiv",
    "version": 1
  }
}