Pith Number

pith:BKW6ZLMV

pith:2008:BKW6ZLMV3K3CJ6ER2D6ICMSJV4

not attested not anchored not stored refs pending

Robust Cognitive Beamforming With Partial Channel State Information

H. Vincent Poor, Lan Zhang, Yan Xin, Ying-Chang Liang

arxiv:0806.1372 v2 · 2008-06-09 · 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{BKW6ZLMV3K3CJ6ER2D6ICMSJV4}

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	2026-07-04T15:35:21.614808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0aadecad95dab624f891d0fc813249af168cb0a439607b15fc9bb77c4db63cf4

Aliases

arxiv: 0806.1372 · arxiv_version: 0806.1372v2 · doi: 10.48550/arxiv.0806.1372 · pith_short_12: BKW6ZLMV3K3C · pith_short_16: BKW6ZLMV3K3CJ6ER · pith_short_8: BKW6ZLMV

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/BKW6ZLMV3K3CJ6ER2D6ICMSJV4 \
  | 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: 0aadecad95dab624f891d0fc813249af168cb0a439607b15fc9bb77c4db63cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31e8c3911d4f7661f89503dcc23cf05461aaa7b62d8076c6efc0060629311456",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2008-06-09T05:30:09Z",
    "title_canon_sha256": "efb35729c05708ed442fafdbcaf22ce9c0b474bd150d367a1d14780dd10741f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1372",
    "kind": "arxiv",
    "version": 2
  }
}