Pith Number

pith:LGLMLI4A

pith:2015:LGLMLI4ACMNZESBGCPWFITAORI

not attested not anchored not stored refs pending

Diagonalization of bosonic quadratic Hamiltonians by Bogoliubov transformations

Jan Philip Solovej, Marcin Napi\'orkowski, Phan Th\`anh Nam

arxiv:1508.07321 v2 · 2015-08-28 · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LGLMLI4ACMNZESBGCPWFITAORI}

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	2026-05-18T01:24:06.545038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5996c5a380131b92482613ec544c0e8a1e73ef9e2f470dad555700d3bac2a41e

Aliases

arxiv: 1508.07321 · arxiv_version: 1508.07321v2 · doi: 10.48550/arxiv.1508.07321 · pith_short_12: LGLMLI4ACMNZ · pith_short_16: LGLMLI4ACMNZESBG · pith_short_8: LGLMLI4A

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/LGLMLI4ACMNZESBGCPWFITAORI \
  | 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: 5996c5a380131b92482613ec544c0e8a1e73ef9e2f470dad555700d3bac2a41e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bab275d34b1a15880d961436a86b1302e33f601aeb6fda2d380244315e1731aa",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-08-28T19:56:39Z",
    "title_canon_sha256": "c0853d2e52f39b07189d4b2b3372963d5d0b1f8354b7235ce9109d5abdcce4eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07321",
    "kind": "arxiv",
    "version": 2
  }
}