pith. sign in
Pith Number

pith:R5B6QD54

pith:2014:R5B6QD54IBPCCZIXD3KPU4JU45
not attested not anchored not stored refs pending

A Framework for Transceiver Designs for Multi-Hop Communications with Covariance Shaping Constraints

Chengwen Xing, Feifei Gao, Yiqing Zhou

arxiv:1411.4249 v5 · 2014-11-16 · cs.IT · math.IT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{R5B6QD54IBPCCZIXD3KPU4JU45}

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 2026-05-18T00:50:23.371356Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8f43e80fbc405e2165171ed4fa7134e7544ac415d2baa70f94beb6522645d5ff

Aliases

arxiv: 1411.4249 · arxiv_version: 1411.4249v5 · doi: 10.48550/arxiv.1411.4249 · pith_short_12: R5B6QD54IBPC · pith_short_16: R5B6QD54IBPCCZIX · pith_short_8: R5B6QD54
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/R5B6QD54IBPCCZIXD3KPU4JU45 \
  | 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: 8f43e80fbc405e2165171ed4fa7134e7544ac415d2baa70f94beb6522645d5ff
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "542c22fe515d39a3538d23cf1b0c94e7acc5e6a9b9d2dba86eeb8a9719bc6f34",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-11-16T11:56:03Z",
    "title_canon_sha256": "b93cc5f14aab83f3a4cfeb6845203bead24db808238e93471a2f2db7846c7fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4249",
    "kind": "arxiv",
    "version": 5
  }
}