Pith Number

pith:7GRXY4ZZ

pith:1999:7GRXY4ZZSRTWCHLQM76ZES6ECC

not attested not anchored not stored refs pending

On the parametric approximation in quantum optics

G. M. D'Ariano, M. F. Sacchi, M. G. A. Paris

arxiv:quant-ph/9902013 v1 · 1999-02-03 · 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{7GRXY4ZZSRTWCHLQM76ZES6ECC}

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	2026-07-04T14:47:23.874664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9a37c73399467611d7067fd924bc410a61c1a444d838b07f874ddd3c9a51c58

Aliases

arxiv: quant-ph/9902013 · arxiv_version: quant-ph/9902013v1 · doi: 10.48550/arxiv.quant-ph/9902013 · pith_short_12: 7GRXY4ZZSRTW · pith_short_16: 7GRXY4ZZSRTWCHLQ · pith_short_8: 7GRXY4ZZ

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/7GRXY4ZZSRTWCHLQM76ZES6ECC \
  | 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: f9a37c73399467611d7067fd924bc410a61c1a444d838b07f874ddd3c9a51c58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54edffecc1e39dc4f315b18e8bb77d9ff3e5dfc07a74d01f9468de27fe83a8fc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-02-03T16:51:34Z",
    "title_canon_sha256": "560e21a931147a6f39b9d54b79f4c675729350c676429398ae0c65224f995583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9902013",
    "kind": "arxiv",
    "version": 1
  }
}