Pith Number

pith:QDL7J5BZ

pith:2014:QDL7J5BZI4ITRBEB3ZGQ5WZSA7

not attested not anchored not stored refs pending

Majorization and additivity for multimode bosonic Gaussian channels

A. Mari, A. S. Holevo, V. Giovannetti

arxiv:1405.4066 v2 · 2014-05-16 · 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{QDL7J5BZI4ITRBEB3ZGQ5WZSA7}

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	2026-05-18T01:05:46.600649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80d7f4f4394711388481de4d0edb3207eee05fa2455844a0e30feac606b5ed32

Aliases

arxiv: 1405.4066 · arxiv_version: 1405.4066v2 · doi: 10.48550/arxiv.1405.4066 · pith_short_12: QDL7J5BZI4IT · pith_short_16: QDL7J5BZI4ITRBEB · pith_short_8: QDL7J5BZ

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/QDL7J5BZI4ITRBEB3ZGQ5WZSA7 \
  | 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: 80d7f4f4394711388481de4d0edb3207eee05fa2455844a0e30feac606b5ed32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92308258e9622ac27453d97e596c1a6269fba82a12662592a09200a00bb3db99",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-05-16T05:39:48Z",
    "title_canon_sha256": "f2841a69da61aa8d034c7c88c2fc95c7e469c163a07cb168b6562fca00868700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4066",
    "kind": "arxiv",
    "version": 2
  }
}