Pith Number

pith:6ZP5ZXIA

pith:1998:6ZP5ZXIAATPHQGDK4TPVSMHFWS

not attested not anchored not stored refs pending

Notes on nonlinear quantum algorithms

Marek Czachor

arxiv:quant-ph/9802051 v2 · 1998-02-19 · 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{6ZP5ZXIAATPHQGDK4TPVSMHFWS}

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.

Cited by

2 papers in Pith

Nonlinear Hamiltonians and Boolean satisfiability

Quantum algorithm for Valiant-Vazirani reduction

Receipt and verification

First computed	2026-07-04T14:47:10.922630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65fdcdd0004de78186ae4df5930e5b4b5363e9182b9a6d1071011468ee44ddd

Aliases

arxiv: quant-ph/9802051 · arxiv_version: quant-ph/9802051v2 · doi: 10.48550/arxiv.quant-ph/9802051 · pith_short_12: 6ZP5ZXIAATPH · pith_short_16: 6ZP5ZXIAATPHQGDK · pith_short_8: 6ZP5ZXIA

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/6ZP5ZXIAATPHQGDK4TPVSMHFWS \
  | 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: f65fdcdd0004de78186ae4df5930e5b4b5363e9182b9a6d1071011468ee44ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f80a9c8bcd90cc9d81cd6c542efe7c46ecfe7f5c2dda0543ba58ca71afbf0ff8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-02-19T19:40:10Z",
    "title_canon_sha256": "3d50339be6cebc82ec074bdf8fbccfee258e2a978dc893b4e51c6b65900e9e73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9802051",
    "kind": "arxiv",
    "version": 2
  }
}