Pith Number

pith:KRYDRWJW

pith:2012:KRYDRWJWBXAQONEKY4WBJOL7SX

not attested not anchored not stored refs pending

Capacity of Compound MIMO Gaussian Channels with Additive Uncertainty

C. Emre Koksal, Ness B. Shroff, Yin Sun

arxiv:1208.4656 v5 · 2012-08-23 · 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{KRYDRWJWBXAQONEKY4WBJOL7SX}

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	2026-05-18T03:21:54.089618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547038d9360dc107348ac72c14b97f95feebdc1c9c709af31c13dd6fd1258734

Aliases

arxiv: 1208.4656 · arxiv_version: 1208.4656v5 · doi: 10.48550/arxiv.1208.4656 · pith_short_12: KRYDRWJWBXAQ · pith_short_16: KRYDRWJWBXAQONEK · pith_short_8: KRYDRWJW

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/KRYDRWJWBXAQONEKY4WBJOL7SX \
  | 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: 547038d9360dc107348ac72c14b97f95feebdc1c9c709af31c13dd6fd1258734

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c01f924897bd6c9c6d9309678033366fdcc6e1002fe22c7e00f522bdeb16eb0",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-23T01:39:43Z",
    "title_canon_sha256": "b0e1be3c451218e1159405f33189398bf31cace3b8dace48585dedb52f565a03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4656",
    "kind": "arxiv",
    "version": 5
  }
}