pith. sign in
Pith Number

pith:2PQMWUEK

pith:2014:2PQMWUEKZLBR5IIBPRP6LSUAFU
not attested not anchored not stored refs pending

Broadcast Classical-Quantum Capacity Region of Two-Phase Bidirectional Relaying Channel

Christian Deppe, Holger Boche, Minglai Cai

arxiv:1401.3682 v4 · 2014-01-15 · cs.IT · math.IT · math.QA · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2PQMWUEKZLBR5IIBPRP6LSUAFU}

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 2026-05-18T01:32:01.328075Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d3e0cb508acac31ea1017c5fe5ca802d0c1c9322cf4901712d487dce1125ff7f

Aliases

arxiv: 1401.3682 · arxiv_version: 1401.3682v4 · doi: 10.48550/arxiv.1401.3682 · pith_short_12: 2PQMWUEKZLBR · pith_short_16: 2PQMWUEKZLBR5IIB · pith_short_8: 2PQMWUEK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2PQMWUEKZLBR5IIBPRP6LSUAFU \
  | 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: d3e0cb508acac31ea1017c5fe5ca802d0c1c9322cf4901712d487dce1125ff7f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e2dc9de926b5282f1f48648db6da29ae81799844db06ef10bbd4caaa1a9f96c6",
    "cross_cats_sorted": [
      "math.IT",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-01-15T17:29:23Z",
    "title_canon_sha256": "17f53ae1d5e9e6cad7caf2626dfe2d26aae760a6720b45215da147ea737ca3a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3682",
    "kind": "arxiv",
    "version": 4
  }
}