Pith Number

pith:M7XQACID

pith:2016:M7XQACIDBMLT3Y3G5REDWUO7AN

not attested not anchored not stored refs pending

On the Symmetries and the Capacity Achieving Input Covariance Matrices of Multiantenna Channels

Mario Diaz

arxiv:1602.00043 v2 · 2016-01-30 · 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{M7XQACIDBMLT3Y3G5REDWUO7AN}

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	2026-05-18T00:58:09.774556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ef0009030b173de366ec483b51df036024f99cc91e793168cef0be3dce8143

Aliases

arxiv: 1602.00043 · arxiv_version: 1602.00043v2 · doi: 10.48550/arxiv.1602.00043 · pith_short_12: M7XQACIDBMLT · pith_short_16: M7XQACIDBMLT3Y3G · pith_short_8: M7XQACID

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/M7XQACIDBMLT3Y3G5REDWUO7AN \
  | 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: 67ef0009030b173de366ec483b51df036024f99cc91e793168cef0be3dce8143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855ac5c309e822ca11e08f255f270890827ac2c4c9289a6976cb8bdc0575f8cc",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-01-30T00:21:42Z",
    "title_canon_sha256": "ab311a42a778bb0ea7d45910ed3b49d8a25abdbae6e16616c864f8479a49d670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00043",
    "kind": "arxiv",
    "version": 2
  }
}