Pith Number

pith:MSPHQOY4

pith:2015:MSPHQOY4NWEDK6VKBXWVG7RTJ4

not attested not anchored not stored refs pending

Majorization preservation of Gaussian bosonic channels

Michael G. Jabbour, Nicolas J. Cerf, Ra\'ul Garc\'ia-Patr\'on

arxiv:1512.08225 v1 · 2015-12-27 · 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{MSPHQOY4NWEDK6VKBXWVG7RTJ4}

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	2026-05-18T01:10:23.546111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

649e783b1c6d88357aaa0ded537e334f0498f0c31a88f44049a1b105b637238d

Aliases

arxiv: 1512.08225 · arxiv_version: 1512.08225v1 · doi: 10.48550/arxiv.1512.08225 · pith_short_12: MSPHQOY4NWED · pith_short_16: MSPHQOY4NWEDK6VK · pith_short_8: MSPHQOY4

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/MSPHQOY4NWEDK6VKBXWVG7RTJ4 \
  | 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: 649e783b1c6d88357aaa0ded537e334f0498f0c31a88f44049a1b105b637238d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11b433a1e4ac86e60348e20ba483fb452c728aa1dadb9961879e747e4ffce13f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-27T14:21:37Z",
    "title_canon_sha256": "2a64e1c47d64dee952c2fcd0011c9ead67343eda0677ad5c0afc99a141e7756a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08225",
    "kind": "arxiv",
    "version": 1
  }
}