Pith Number

pith:PGGW5WOC

pith:2008:PGGW5WOCGR3C5MUPD5YZ7MEOOG

not attested not anchored not stored refs pending

Localized and periodic exact solutions to the nonlinear Schrodinger equation with spatially modulated parameters: Linear and nonlinear lattices

Juan Belmonte Beitia, Vadym E. Vekslerchik, Victor M. Perez Garcia, Vladimir V. Konotop

arxiv:0804.2399 v1 · 2008-04-15 · nlin.PS · 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{PGGW5WOCGR3C5MUPD5YZ7MEOOG}

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	2026-05-18T02:15:53.638613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

798d6ed9c234762eb28f1f719fb08e71b4d073998da142effcc82bc96f3d21e5

Aliases

arxiv: 0804.2399 · arxiv_version: 0804.2399v1 · doi: 10.48550/arxiv.0804.2399 · pith_short_12: PGGW5WOCGR3C · pith_short_16: PGGW5WOCGR3C5MUP · pith_short_8: PGGW5WOC

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/PGGW5WOCGR3C5MUPD5YZ7MEOOG \
  | 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: 798d6ed9c234762eb28f1f719fb08e71b4d073998da142effcc82bc96f3d21e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044bf312d1deba7d3011ea3a4dd6c03e87e9ee161f42914e1d137252e7171626",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2008-04-15T14:22:06Z",
    "title_canon_sha256": "cfe6a3c4321a505fcc0fd0b1c0ea82bfad4513c4e2b41133112a0bedaea02908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.2399",
    "kind": "arxiv",
    "version": 1
  }
}