Pith Number

pith:N5X3JRTF

pith:2010:N5X3JRTFO7H7CJTZSQF5E4OE76

not attested not anchored not stored refs pending

On the classical capacity of quantum Gaussian channels

Cosmo Lupo, Paolo Aniello, Stefano Mancini, Stefano Pirandola

arxiv:1012.5965 v2 · 2010-12-29 · 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{N5X3JRTFO7H7CJTZSQF5E4OE76}

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	2026-05-18T04:27:35.544033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f6fb4c66577cff12679940bd271c4ff902dd46e1688192e1cbefcedb7bbd49a

Aliases

arxiv: 1012.5965 · arxiv_version: 1012.5965v2 · doi: 10.48550/arxiv.1012.5965 · pith_short_12: N5X3JRTFO7H7 · pith_short_16: N5X3JRTFO7H7CJTZ · pith_short_8: N5X3JRTF

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/N5X3JRTFO7H7CJTZSQF5E4OE76 \
  | 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: 6f6fb4c66577cff12679940bd271c4ff902dd46e1688192e1cbefcedb7bbd49a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e5b0982bc3a24bfddcb638691790fad8ccb1f953a4d195ec2da1a6861c18617",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-29T15:46:34Z",
    "title_canon_sha256": "455170845c492386c22b0660160c5a5b19a9bb768f556bddac407f371087c934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5965",
    "kind": "arxiv",
    "version": 2
  }
}