Pith Number

pith:HESPCRPZ

pith:2004:HESPCRPZO3OI76BGHBFSNNJOU6

not attested not anchored not stored refs pending

Extremal entanglement and mixedness in continuous variable systems

Alessio Serafini, Fabrizio Illuminati, Gerardo Adesso

arxiv:quant-ph/0402124 v3 · 2004-02-18 · quant-ph · 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{HESPCRPZO3OI76BGHBFSNNJOU6}

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

On generalization of Williamson's theorem to real symmetric matrices

Receipt and verification

First computed	2026-05-18T01:05:03.626180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3924f145f976dc8ff826384b26b52ea78bbed4bffb98f11d959b566c99bd0dc5

Aliases

arxiv: quant-ph/0402124 · arxiv_version: quant-ph/0402124v3 · doi: 10.48550/arxiv.quant-ph/0402124 · pith_short_12: HESPCRPZO3OI · pith_short_16: HESPCRPZO3OI76BG · pith_short_8: HESPCRPZ

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/HESPCRPZO3OI76BGHBFSNNJOU6 \
  | 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: 3924f145f976dc8ff826384b26b52ea78bbed4bffb98f11d959b566c99bd0dc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d6f5042ee80ea38e09f2ce419ca205e40fee985038f0f08c869ab8a0a4db55e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-02-18T18:16:00Z",
    "title_canon_sha256": "726bbe860dc25f06460bb143ba9bea57c243201d63dfdd3ebf3ec05ea95303a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0402124",
    "kind": "arxiv",
    "version": 3
  }
}