Pith Number

pith:ZXRJCMH4

pith:2022:ZXRJCMH47U3LXNG2UIXP6VPVCY

not attested not anchored not stored refs pending

A Rigorous Proof of the Capacity of MIMO Gauss-Markov Rayleigh Fading Channels

Christian Deppe, Holger Boche, Moritz Wiese, Rami Ezzine

arxiv:2201.03400 v4 · 2022-01-10 · 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{ZXRJCMH47U3LXNG2UIXP6VPVCY}

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	2026-07-05T04:14:27.382361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cde29130fcfd36bbb4daa22eff55f5160bb6a93e09d5d3655ebc3073269bd157

Aliases

arxiv: 2201.03400 · arxiv_version: 2201.03400v4 · doi: 10.48550/arxiv.2201.03400 · pith_short_12: ZXRJCMH47U3L · pith_short_16: ZXRJCMH47U3LXNG2 · pith_short_8: ZXRJCMH4

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/ZXRJCMH47U3LXNG2UIXP6VPVCY \
  | 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: cde29130fcfd36bbb4daa22eff55f5160bb6a93e09d5d3655ebc3073269bd157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf0fd06582638543ee43ea0d902b35ad2d15962dd8ca42d6a53ef8ac96c752b2",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2022-01-10T15:33:25Z",
    "title_canon_sha256": "c7639299d637f990c90c6b2bd16b527e6944caff283a8fe243f21c5177f2dcfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.03400",
    "kind": "arxiv",
    "version": 4
  }
}