Pith Number

pith:426SNYRX

pith:2026:426SNYRXGPN5PZYBBEN5MYIL4H

not attested not anchored not stored refs pending

Error bounds for the truncated Baker--Campbell--Hausdorff and Zassenhaus formulas in unitary problems

A. Arnal, F. Casas, J.L. Ruiz-Benito

arxiv:2607.07692 v1 · 2026-07-08 · math-ph · 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{426SNYRXGPN5PZYBBEN5MYIL4H}

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	2026-07-09T01:20:39.298297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6bd26e23733dbd7e701091bd6610be1e5c4a57e052ee5245d668a0b02caf62b

Aliases

arxiv: 2607.07692 · arxiv_version: 2607.07692v1 · doi: 10.48550/arxiv.2607.07692 · pith_short_12: 426SNYRXGPN5 · pith_short_16: 426SNYRXGPN5PZYB · pith_short_8: 426SNYRX

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/426SNYRXGPN5PZYBBEN5MYIL4H \
  | 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: e6bd26e23733dbd7e701091bd6610be1e5c4a57e052ee5245d668a0b02caf62b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cecc48ee846aa5c7f01a9508d0742a2564ecd92302aee0708ca99e17f160bbb2",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-08T17:49:46Z",
    "title_canon_sha256": "903d9076f691af57a4e7a73fada569b817f79160ed5f8a6c4cdcffba74782a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07692",
    "kind": "arxiv",
    "version": 1
  }
}