Pith Number

pith:GM6ZXNEM

pith:2011:GM6ZXNEMSM6MX2EQIPAD655KWD

not attested not anchored not stored refs pending

On the Linear Precoder Design for MIMO Channels with Finite-Alphabet Inputs and Statistical CSI

Chengshan Xiao, Jianhua Lu, Mingxi Wang, Weiliang Zeng

arxiv:1109.1045 v1 · 2011-09-06 · 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{GM6ZXNEMSM6MX2EQIPAD655KWD}

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	2026-05-18T04:14:05.531712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333d9bb48c933ccbe89043c03f77aab0c9d6295f1ac5b2970aa82116e9028385

Aliases

arxiv: 1109.1045 · arxiv_version: 1109.1045v1 · doi: 10.48550/arxiv.1109.1045 · pith_short_12: GM6ZXNEMSM6M · pith_short_16: GM6ZXNEMSM6MX2EQ · pith_short_8: GM6ZXNEM

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/GM6ZXNEMSM6MX2EQIPAD655KWD \
  | 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: 333d9bb48c933ccbe89043c03f77aab0c9d6295f1ac5b2970aa82116e9028385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd1399f584503512172a36cf37d7416fa79bef6ca7a4b4595a40d4c426178e1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-06T02:22:15Z",
    "title_canon_sha256": "dbccd5e8aa88c3ccee0308de23c504d1e9d3e5f7c8f7b215a674391de1cf0951"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1045",
    "kind": "arxiv",
    "version": 1
  }
}