Pith. sign in
Pith Number

pith:KE4KQSL4

pith:2021:KE4KQSL4BKPAXOXZCOZOMYC2UY
not attested not anchored not stored refs pending

Four-mode squeezed states: two-field quantum systems and the symplectic group $\mathrm{Sp}(4,\mathbb{R})$

Julien Grain, Thomas Colas, Vincent Vennin

arxiv:2104.14942 v2 · 2021-04-30 · quant-ph · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KE4KQSL4BKPAXOXZCOZOMYC2UY}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T03:44:53.313647Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5138a8497c0a9e0bbaf913b2e6605aa60aa9c1518e4731cc5b67e037f955cb8e

Aliases

arxiv: 2104.14942 · arxiv_version: 2104.14942v2 · doi: 10.48550/arxiv.2104.14942 · pith_short_12: KE4KQSL4BKPA · pith_short_16: KE4KQSL4BKPAXOXZ · pith_short_8: KE4KQSL4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KE4KQSL4BKPAXOXZCOZOMYC2UY \
  | 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: 5138a8497c0a9e0bbaf913b2e6605aa60aa9c1518e4731cc5b67e037f955cb8e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "939586c5a596d74cc0465c3c33b8badf243bc0237f198304652631b6451395a4",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-04-30T12:13:40Z",
    "title_canon_sha256": "473f7836375de55aa5a132f53cdf55e9cb499f32193f3e46ea57f0820b4850ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.14942",
    "kind": "arxiv",
    "version": 2
  }
}