Pith Number

pith:WI4FROW3

pith:2010:WI4FROW3REMVJYKI2KCIAK2Z44

not attested not anchored not stored refs pending

Optimal Unitary Linear Processing for Amplify-and-Forward Cooperative OFDM systems

Ben Liang, Mahdi Hajiaghayi, Min Dong

arxiv:1003.4302 v3 · 2010-03-22 · cs.IT · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI4FROW3REMVJYKI2KCIAK2Z44}

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	2026-05-18T03:57:01.010441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b23858badb891954e148d284802b59e7286a189f5374abbc475df03a93f6e0a9

Aliases

arxiv: 1003.4302 · arxiv_version: 1003.4302v3 · doi: 10.48550/arxiv.1003.4302 · pith_short_12: WI4FROW3REMV · pith_short_16: WI4FROW3REMVJYKI · pith_short_8: WI4FROW3

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/WI4FROW3REMVJYKI2KCIAK2Z44 \
  | 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: b23858badb891954e148d284802b59e7286a189f5374abbc475df03a93f6e0a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f58fc10b3854d0b0456b53e1dddca485ab7feb505d46d52f9d7706f82b8fb517",
    "cross_cats_sorted": [
      "math.IT",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-03-22T22:56:40Z",
    "title_canon_sha256": "cb1d852d1f3826a2586fa18229eda80efbf39ae3391b3107031fd4fcff575517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4302",
    "kind": "arxiv",
    "version": 3
  }
}