Pith Number

pith:YOUE6NOA

pith:2010:YOUE6NOANHBYRZTJD5IRRWU57L

not attested not anchored not stored refs pending

The entropy gain of infinite-dimensional quantum channels

A. S. Holevo

arxiv:1003.5765 v1 · 2010-03-30 · math-ph · math.MP · 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{YOUE6NOANHBYRZTJD5IRRWU57L}

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

Information geometry of bosonic Gaussian thermal states

Receipt and verification

First computed	2026-05-18T04:35:06.036387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3a84f35c069c388e6691f5118da9dfaf3adbda1f70b7635044af8b9135a438f

Aliases

arxiv: 1003.5765 · arxiv_version: 1003.5765v1 · doi: 10.48550/arxiv.1003.5765 · pith_short_12: YOUE6NOANHBY · pith_short_16: YOUE6NOANHBYRZTJ · pith_short_8: YOUE6NOA

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/YOUE6NOANHBYRZTJD5IRRWU57L \
  | 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: c3a84f35c069c388e6691f5118da9dfaf3adbda1f70b7635044af8b9135a438f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6740aac4b0aa27d6b787370bd4a54c9cf6fb210797c911defbfcae8f7eaf2b70",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-03-30T08:56:06Z",
    "title_canon_sha256": "c7bb002e48a750892dcd1ba9c84c148430c9137560c90a60fab6e11e33ffefd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5765",
    "kind": "arxiv",
    "version": 1
  }
}