Pith Number

pith:XD2CPUWK

pith:2013:XD2CPUWKOIZOZJAG3GNK2DSDCT

not attested not anchored not stored refs pending

Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture

A. S. Holevo, N. J. Cerf, R. Garcia-Patron, V. Giovannetti

arxiv:1312.6225 v1 · 2013-12-21 · 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{XD2CPUWKOIZOZJAG3GNK2DSDCT}

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	2026-05-18T01:45:42.948431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8f427d2ca7232eca406d99aad0e4314ed4ea054aa6cd3acfffb9442d4bc2b6f

Aliases

arxiv: 1312.6225 · arxiv_version: 1312.6225v1 · doi: 10.48550/arxiv.1312.6225 · pith_short_12: XD2CPUWKOIZO · pith_short_16: XD2CPUWKOIZOZJAG · pith_short_8: XD2CPUWK

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/XD2CPUWKOIZOZJAG3GNK2DSDCT \
  | 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: b8f427d2ca7232eca406d99aad0e4314ed4ea054aa6cd3acfffb9442d4bc2b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5357a10db4da06c959b254be807270f9e20c98b59fdb4d261fe663897bf4fdf2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-12-21T09:07:57Z",
    "title_canon_sha256": "f0f57e24f8c89775638e31880af8c6a0129462e9604df86d3911f4783882b54d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6225",
    "kind": "arxiv",
    "version": 1
  }
}