Pith Number

pith:ER3A2PSK

pith:2010:ER3A2PSKJC6XQA4MKKK3PPMP2X

not attested not anchored not stored refs pending

MIMO Precoding Using Rotating Codebooks

C. Jiang, C. Yang, M. Wang

arxiv:1008.3136 v1 · 2010-08-18 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ER3A2PSKJC6XQA4MKKK3PPMP2X}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:42:03.550541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24760d3e4a48bd78038c5295b7bd8fd5ebeabf0f0d2e51935c0f8ce6232647f9

Aliases

arxiv: 1008.3136 · arxiv_version: 1008.3136v1 · doi: 10.48550/arxiv.1008.3136 · pith_short_12: ER3A2PSKJC6X · pith_short_16: ER3A2PSKJC6XQA4M · pith_short_8: ER3A2PSK

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/ER3A2PSKJC6XQA4MKKK3PPMP2X \
  | 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: 24760d3e4a48bd78038c5295b7bd8fd5ebeabf0f0d2e51935c0f8ce6232647f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a38b180a03a116e30a451cd358d093c5e3574246a870b8b1020bca93b56a3b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-08-18T17:10:34Z",
    "title_canon_sha256": "e4edac8c6167df5c686f0a4a6862736e56891ab92493e0ed812dcdba0c70f387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3136",
    "kind": "arxiv",
    "version": 1
  }
}