Pith Number

pith:JQHLMFRD

pith:2026:JQHLMFRDK3X4GPXQ3V4MUEOBNA

not attested not anchored not stored refs pending

Matrix Product Operator Encodings of the Magnus Expansion and Dyson Series

Ian P. McCulloch, Jutho Haegeman, Laurens Vanderstraeten, Maarten Van Damme, Victor Vanthilt

arxiv:2605.21597 v1 · 2026-05-20 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQHLMFRDK3X4GPXQ3V4MUEOBNA}

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	2026-05-22T01:03:24.360540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c0eb6162356efc33ef0dd78ca11c1681d56e0a80f4242df0f77264302e9523a

Aliases

arxiv: 2605.21597 · arxiv_version: 2605.21597v1 · doi: 10.48550/arxiv.2605.21597 · pith_short_12: JQHLMFRDK3X4 · pith_short_16: JQHLMFRDK3X4GPXQ · pith_short_8: JQHLMFRD

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/JQHLMFRDK3X4GPXQ3V4MUEOBNA \
  | 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: 4c0eb6162356efc33ef0dd78ca11c1681d56e0a80f4242df0f77264302e9523a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e31373d87b89552f66ad45e23e532044817ec07eb0640498c8c8cb4ccfbd41ed",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-20T18:00:49Z",
    "title_canon_sha256": "863045bb6c5af43c5c93e24975d21d66a0a8b2d355df4e891c540d48b64f3451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21597",
    "kind": "arxiv",
    "version": 1
  }
}