Pith Number

pith:EACMMBVM

pith:2013:EACMMBVM3OAVDOBO2L5K4W6A34

not attested not anchored not stored refs pending

Strong converse for the classical capacity of the pure-loss bosonic channel

Andreas Winter, Mark M. Wilde

arxiv:1308.6732 v4 · 2013-08-30 · quant-ph · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EACMMBVM3OAVDOBO2L5K4W6A34}

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	2026-05-18T02:47:16.058058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2004c606acdb8151b82ed2faae5bc0df24ebc2be20fe87d29d0527b005528d9d

Aliases

arxiv: 1308.6732 · arxiv_version: 1308.6732v4 · doi: 10.48550/arxiv.1308.6732 · pith_short_12: EACMMBVM3OAV · pith_short_16: EACMMBVM3OAVDOBO · pith_short_8: EACMMBVM

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/EACMMBVM3OAVDOBO2L5K4W6A34 \
  | 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: 2004c606acdb8151b82ed2faae5bc0df24ebc2be20fe87d29d0527b005528d9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec2a3acbadd54db3af0c0d51369c4e5a2a5ff178b005b4d894543139e3731ed4",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-30T13:01:43Z",
    "title_canon_sha256": "e1d3138651ce588828b16d1465ff53d0c537f041feb4531b1da5a96495b566d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6732",
    "kind": "arxiv",
    "version": 4
  }
}