Pith Number

pith:VBJ6BYBE

pith:2021:VBJ6BYBEI22Q2LWIDKDVCOTNFO

not attested not anchored not stored refs pending

Accessible information of a general quantum Gaussian ensemble

A. S. Holevo

arxiv:2102.01981 v3 · 2021-02-03 · 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{VBJ6BYBEI22Q2LWIDKDVCOTNFO}

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

Upper bounds on the Holevo quantity arising from the fundamental entropic inequality

Receipt and verification

First computed	2026-07-05T12:01:16.542508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a853e0e02446b50d2ec81a87513a6d2bbd87e75283cea202b5901b694184ec5b

Aliases

arxiv: 2102.01981 · arxiv_version: 2102.01981v3 · doi: 10.48550/arxiv.2102.01981 · pith_short_12: VBJ6BYBEI22Q · pith_short_16: VBJ6BYBEI22Q2LWI · pith_short_8: VBJ6BYBE

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/VBJ6BYBEI22Q2LWIDKDVCOTNFO \
  | 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: a853e0e02446b50d2ec81a87513a6d2bbd87e75283cea202b5901b694184ec5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc85158f3ad24538c5b475d2bd778ebc8055fce1655311725519c53e0d50f15a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-02-03T10:01:01Z",
    "title_canon_sha256": "123790e05884f9f30c855a4ed9e8da604cffb3965c1491954e577b9581202277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.01981",
    "kind": "arxiv",
    "version": 3
  }
}