Pith Number

pith:SOAAU7SX

pith:2018:SOAAU7SXL5NGYRIAJSMHPBQKYN

not attested not anchored not stored refs pending

Analytical evaluation of the numerical coefficients in the Zassenhaus product formula and its applications to quantum and statistical mechanics

Mauro Bologna

arxiv:1804.01125 v1 · 2018-04-03 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOAAU7SXL5NGYRIAJSMHPBQKYN}

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	2026-05-18T00:19:16.049765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93800a7e575f5a6c45004c9877860ac37ddfd757b917b937b386c61e43b05b5e

Aliases

arxiv: 1804.01125 · arxiv_version: 1804.01125v1 · doi: 10.48550/arxiv.1804.01125 · pith_short_12: SOAAU7SXL5NG · pith_short_16: SOAAU7SXL5NGYRIA · pith_short_8: SOAAU7SX

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/SOAAU7SXL5NGYRIAJSMHPBQKYN \
  | 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: 93800a7e575f5a6c45004c9877860ac37ddfd757b917b937b386c61e43b05b5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624d3ae55879b348bad14137ed7999414b1b296dd0f57cc8d6d5eb5a10851d60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-04-03T18:46:10Z",
    "title_canon_sha256": "cd9ebfe234975df70f44e35d746b103e2a27a86320753d772729df348b92086a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.01125",
    "kind": "arxiv",
    "version": 1
  }
}