Pith Number

pith:SZPOPK6B

pith:2015:SZPOPK6BQBQJ34ITF56PDYMSL6

not attested not anchored not stored refs pending

An improved rate region for the classical-quantum broadcast channel

Christoph Hirche, Ciara Morgan

arxiv:1501.07417 v1 · 2015-01-29 · 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{SZPOPK6BQBQJ34ITF56PDYMSL6}

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	2026-05-18T01:31:11.408069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

965ee7abc180609df1132f7cf1e1925fbd23c50db4287292b91500d2d1b6a2a8

Aliases

arxiv: 1501.07417 · arxiv_version: 1501.07417v1 · doi: 10.48550/arxiv.1501.07417 · pith_short_12: SZPOPK6BQBQJ · pith_short_16: SZPOPK6BQBQJ34IT · pith_short_8: SZPOPK6B

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/SZPOPK6BQBQJ34ITF56PDYMSL6 \
  | 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: 965ee7abc180609df1132f7cf1e1925fbd23c50db4287292b91500d2d1b6a2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec64fdc9cc857a017595c34c3100695fcc8e804397a99aa0d1f1bfb4bf3a4f7f",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-01-29T11:30:15Z",
    "title_canon_sha256": "7c3d6afea586b4438338d19610669b311b47a2c2b4d4e4a04d86fcf6a7f10693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07417",
    "kind": "arxiv",
    "version": 1
  }
}