Pith Number

pith:72OSNRDT

pith:2026:72OSNRDTHBB7IZFK5DBYKOBQCT

not attested not anchored not stored refs pending

Higher-order covariance matrices for non-Gaussian quantum states

Nicolas J. Cerf, Petr Marek, Vojt\v{e}ch Kala

arxiv:2607.11759 v1 · 2026-07-13 · 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{72OSNRDTHBB7IZFK5DBYKOBQCT}

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	2026-07-14T02:22:31.209781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe9d26c4733843f464aae8c385383014c62d11ef242df83d935e4e0d766819c2

Aliases

arxiv: 2607.11759 · arxiv_version: 2607.11759v1 · doi: 10.48550/arxiv.2607.11759 · pith_short_12: 72OSNRDTHBB7 · pith_short_16: 72OSNRDTHBB7IZFK · pith_short_8: 72OSNRDT

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/72OSNRDTHBB7IZFK5DBYKOBQCT \
  | 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: fe9d26c4733843f464aae8c385383014c62d11ef242df83d935e4e0d766819c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b160d8dd4908ed712f9f1f73fe17aff8cc177b15e4ffd8681f233f3d0c4c8b56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-13T16:22:04Z",
    "title_canon_sha256": "888825f71a17f28de2fce21cc7ddc486fb7ab006245584fb190112e5adc25136"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.11759",
    "kind": "arxiv",
    "version": 1
  }
}