Pith Number

pith:ZSWKZE2D

pith:2010:ZSWKZE2D4TUKJWUWP4OIXTURQX

not attested not anchored not stored refs pending

On Cooperative Beamforming Based on Second-Order Statistics of Channel State Information

Athina P. Petropulu, H. Vincent Poor, Jiangyuan Li

arxiv:1005.5412 v1 · 2010-05-28 · 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{ZSWKZE2D4TUKJWUWP4OIXTURQX}

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	2026-05-18T01:29:12.147245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccacac9343e4e8a4da967f1c8bce9185d154722d34221942c7aba02c8d2fb01c

Aliases

arxiv: 1005.5412 · arxiv_version: 1005.5412v1 · doi: 10.48550/arxiv.1005.5412 · pith_short_12: ZSWKZE2D4TUK · pith_short_16: ZSWKZE2D4TUKJWUW · pith_short_8: ZSWKZE2D

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/ZSWKZE2D4TUKJWUWP4OIXTURQX \
  | 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: ccacac9343e4e8a4da967f1c8bce9185d154722d34221942c7aba02c8d2fb01c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aec8094c5e37df8d6fb98b14827f8596c0f040620017f6fcfca836e45565ceb5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-05-28T22:37:05Z",
    "title_canon_sha256": "3ffe547c8f7bb63a786b67505ded7cf49206b550588c1e32ecc74d1b68b9452d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5412",
    "kind": "arxiv",
    "version": 1
  }
}