Pith Number

pith:R6HKGRXH

pith:2003:R6HKGRXH55YU7M4IM2OGCAVAR2

not attested not anchored not stored refs pending

Symplectic invariants, entropic measures and correlations of Gaussian states

Alessio Serafini, Fabrizio Illuminati, Silvio De Siena

arxiv:quant-ph/0307073 v4 · 2003-07-09 · quant-ph · cond-mat · hep-th · math-ph · 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{R6HKGRXH55YU7M4IM2OGCAVAR2}

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

2 papers in Pith

Hidden quantum-informatic symmetries of quasi-de Sitter backgrounds

On generalization of Williamson's theorem to real symmetric matrices

Receipt and verification

First computed	2026-07-04T14:46:21.301415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f8ea346e7ef714fb388669c6102a08e88de2764766ed0b5af9454d937fb8cf3

Aliases

arxiv: quant-ph/0307073 · arxiv_version: quant-ph/0307073v4 · doi: 10.48550/arxiv.quant-ph/0307073 · pith_short_12: R6HKGRXH55YU · pith_short_16: R6HKGRXH55YU7M4I · pith_short_8: R6HKGRXH

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/R6HKGRXH55YU7M4IM2OGCAVAR2 \
  | 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: 8f8ea346e7ef714fb388669c6102a08e88de2764766ed0b5af9454d937fb8cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ab4d5789d6b0b6c8b58bf2f244c1335d37ec6f82dcfadaf9feda1231e6b6f2",
    "cross_cats_sorted": [
      "cond-mat",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-07-09T23:47:39Z",
    "title_canon_sha256": "163e08382266ed6dd034d530ee146272680d67dfda43c8e88f61297830ac80b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0307073",
    "kind": "arxiv",
    "version": 4
  }
}