Pith Number

pith:WYYER7YD

pith:2019:WYYER7YDXYZRBVEQHXOAZ3SJU6

not attested not anchored not stored refs pending

Efficient accessible bounds to the classical capacity of quantum channels

Chiara Macchiavello, Massimiliano F. Sacchi

arxiv:1908.01614 v2 · 2019-08-05 · 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{WYYER7YDXYZRBVEQHXOAZ3SJU6}

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	2026-07-05T00:00:27.627987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63048ff03be3310d4903ddc0cee49a7a29fb1b176319fa1d05d90acb44dbe74

Aliases

arxiv: 1908.01614 · arxiv_version: 1908.01614v2 · doi: 10.48550/arxiv.1908.01614 · pith_short_12: WYYER7YDXYZR · pith_short_16: WYYER7YDXYZRBVEQ · pith_short_8: WYYER7YD

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/WYYER7YDXYZRBVEQHXOAZ3SJU6 \
  | 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: b63048ff03be3310d4903ddc0cee49a7a29fb1b176319fa1d05d90acb44dbe74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "268efdaf1820cbe318a3ff5077fc0e85282a5e9a50bd67f5c71522762021df7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-08-05T13:39:03Z",
    "title_canon_sha256": "bae6e6388d71daff405f44ea5ac92e8c4ea5c8ef21a40b95a1857c229144eb2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01614",
    "kind": "arxiv",
    "version": 2
  }
}