Pith Number

pith:D67YU7SX

pith:1998:D67YU7SXUCRNX6WKAOEALCBXVC

not attested not anchored not stored refs pending

Nonlinear von Neumann-type equations: Darboux invariance and spectra

Maciej Kuna, Marek Czachor, Sergiej B. Leble (Politechnika Gdanska)

arxiv:quant-ph/9810023 v2 · 1998-10-07 · quant-ph · nlin.SI · solv-int

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D67YU7SXUCRNX6WKAOEALCBXVC}

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	2026-05-18T01:05:00.412178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbf8a7e57a0a2dbfaca0388058837a894d515e997fc4a1eceb4be41f3df7102

Aliases

arxiv: quant-ph/9810023 · arxiv_version: quant-ph/9810023v2 · doi: 10.48550/arxiv.quant-ph/9810023 · pith_short_12: D67YU7SXUCRN · pith_short_16: D67YU7SXUCRNX6WK · pith_short_8: D67YU7SX

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/D67YU7SXUCRNX6WKAOEALCBXVC \
  | 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: 1fbf8a7e57a0a2dbfaca0388058837a894d515e997fc4a1eceb4be41f3df7102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcef9583f985f73ea70b435827c82a8987a9124fdc0f1924da4e9bb65e206afb",
    "cross_cats_sorted": [
      "nlin.SI",
      "solv-int"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-10-07T17:06:03Z",
    "title_canon_sha256": "229374baeeac3b02aec8793e103d1beba6ebb2cf49f30d22f87b798f6a899c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9810023",
    "kind": "arxiv",
    "version": 2
  }
}