Pith Number

pith:MPOPBAOZ

pith:2015:MPOPBAOZDFDF2GOCHLO3B7VJHG

not attested not anchored not stored refs pending

Classification of Commutator Algebras Leading to the New Type of Closed Baker-Campbell-Hausdorff Formulas

Marco Matone

arxiv:1503.08198 v3 · 2015-03-27 · math-ph · hep-th · math.MP · math.RT · 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{MPOPBAOZDFDF2GOCHLO3B7VJHG}

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	2026-05-18T01:36:25.624231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63dcf081d919465d19c23addb0fea939824930c21ddc048e77f307c4256f7d5d

Aliases

arxiv: 1503.08198 · arxiv_version: 1503.08198v3 · doi: 10.48550/arxiv.1503.08198 · pith_short_12: MPOPBAOZDFDF · pith_short_16: MPOPBAOZDFDF2GOC · pith_short_8: MPOPBAOZ

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/MPOPBAOZDFDF2GOCHLO3B7VJHG \
  | 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: 63dcf081d919465d19c23addb0fea939824930c21ddc048e77f307c4256f7d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "943972544e5a54ec5db6042a4a8d5d4c942ccaa487fdeb70d53fab85256d0135",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.RT",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-03-27T19:37:47Z",
    "title_canon_sha256": "f39c9df1b22af3aeca79795de385b5dd464e821dc318e82a135721fd5a50194b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.08198",
    "kind": "arxiv",
    "version": 3
  }
}