Pith Number

pith:ATQAAL4V

pith:2026:ATQAAL4V5VTCA2RVVI4XHUDYTZ

not attested not anchored not stored refs pending

The Floquet-Magnus expansion of unbounded operators

Daniel Burgarth, Davide Lonigro, Leonhard Richter, Robin Hillier

arxiv:2605.23734 v1 · 2026-05-22 · math-ph · math.FA · math.MP · 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{ATQAAL4V5VTCA2RVVI4XHUDYTZ}

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	2026-05-25T02:02:29.165429Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc

Aliases

arxiv: 2605.23734 · arxiv_version: 2605.23734v1 · doi: 10.48550/arxiv.2605.23734 · pith_short_12: ATQAAL4V5VTC · pith_short_16: ATQAAL4V5VTCA2RV · pith_short_8: ATQAAL4V

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/ATQAAL4V5VTCA2RVVI4XHUDYTZ \
  | 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: 04e0002f95ed66206a35aa3973d0789e4f865e5bd1af17f274cd86d0fc706edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7d872f1993e4a17999d9b17fe9c16ce494dbebaaff4e00379a3491089c4a994",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-05-22T15:11:17Z",
    "title_canon_sha256": "232da547663ef1e58e1ff424186b5c71447d862062332b7e6743840fe282d265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.23734",
    "kind": "arxiv",
    "version": 1
  }
}