Pith Number

pith:4T32CW2O

pith:2017:4T32CW2OI4PZLXM5XWWVNJ2DOJ

not attested not anchored not stored refs pending

Multimode Gaussian optimizers for the Wehrl entropy and quantum Gaussian channels

Dario Trevisan, Giacomo De Palma, Vittorio Giovannetti

arxiv:1705.00499 v1 · 2017-05-01 · math-ph · math.MP · math.PR · 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{4T32CW2OI4PZLXM5XWWVNJ2DOJ}

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	2026-05-18T00:45:17.079530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4f7a15b4e471f95dd9dbdad56a7437276603755e6dbe60848c43d92a566dbc3

Aliases

arxiv: 1705.00499 · arxiv_version: 1705.00499v1 · doi: 10.48550/arxiv.1705.00499 · pith_short_12: 4T32CW2OI4PZ · pith_short_16: 4T32CW2OI4PZLXM5 · pith_short_8: 4T32CW2O

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/4T32CW2OI4PZLXM5XWWVNJ2DOJ \
  | 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: e4f7a15b4e471f95dd9dbdad56a7437276603755e6dbe60848c43d92a566dbc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83d6ff53098f0c340a6461342b96f00eaf933c1bbf956008f10f079284182fc9",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-01T12:50:45Z",
    "title_canon_sha256": "7ceb623a022d6449685b82aad4e0b68efd065be0e4fb3a16c7a00bb4b32b7835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00499",
    "kind": "arxiv",
    "version": 1
  }
}