Pith Number

pith:Z3J64SY3

pith:2013:Z3J64SY3KBKB4727BREB7OWBJK

not attested not anchored not stored refs pending

Gaussian local unitary equivalence of $n$-mode Gaussian states and Gaussian transformations by local operations with classical communication

Barbara Kraus, G\'eza Giedke

arxiv:1311.0509 v2 · 2013-11-03 · 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{Z3J64SY3KBKB4727BREB7OWBJK}

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	2026-05-18T03:00:36.845814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ced3ee4b1b50541e7f5f0c481fbac14a933e2423d6391494370a02b8e657e77e

Aliases

arxiv: 1311.0509 · arxiv_version: 1311.0509v2 · doi: 10.48550/arxiv.1311.0509 · pith_short_12: Z3J64SY3KBKB · pith_short_16: Z3J64SY3KBKB4727 · pith_short_8: Z3J64SY3

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/Z3J64SY3KBKB4727BREB7OWBJK \
  | 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: ced3ee4b1b50541e7f5f0c481fbac14a933e2423d6391494370a02b8e657e77e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8feb378e5615b8cf90a465bbc702defc16f6dc8d9ea9f3f318ece5e2ca1f52b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-11-03T18:58:49Z",
    "title_canon_sha256": "232be164dba87e121f3e81b547af14a7ed4fa4f00e30c2fc823a361a72af5ad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0509",
    "kind": "arxiv",
    "version": 2
  }
}