Pith Number

pith:G42XZPHO

pith:1999:G42XZPHOLUD33YYCQ32RQYZJGR

not attested not anchored not stored refs pending

Geometric Formulation of Nonlinear Quantum Mechanics for Density Matrices

Bratislava), Comenius University, Pavel Bona (Dept. Theor. Phys.

arxiv:quant-ph/9910011 v1 · 1999-10-04 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G42XZPHOLUD33YYCQ32RQYZJGR}

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	2026-05-18T03:39:03.884666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37357cbcee5d07bde30286f5186329345a0e836bed799189f1eb4d72ba0b06e4

Aliases

arxiv: quant-ph/9910011 · arxiv_version: quant-ph/9910011v1 · doi: 10.48550/arxiv.quant-ph/9910011 · pith_short_12: G42XZPHOLUD3 · pith_short_16: G42XZPHOLUD33YYC · pith_short_8: G42XZPHO

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/G42XZPHOLUD33YYCQ32RQYZJGR \
  | 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: 37357cbcee5d07bde30286f5186329345a0e836bed799189f1eb4d72ba0b06e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1112341d0f245c564152770f40f193dc3d19a630c1824833741f2ab5ce205ba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-10-04T14:27:34Z",
    "title_canon_sha256": "a2703bd02919dcd04d8b0085caac8e1294f4ebfa297080f5cc1f65f9c3bc0abc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9910011",
    "kind": "arxiv",
    "version": 1
  }
}