Pith Number

pith:E2JWKC6U

pith:2012:E2JWKC6UJOYXOYUJN5MUS22N7N

not attested not anchored not stored refs pending

On MMSE Properties and I-MMSE Implications in Parallel MIMO Gaussian Channels

Daniel Palomar, Miquel Payaro, Ronit Bustin, Shlomo Shamai (Shitz)

arxiv:1203.5638 v1 · 2012-03-26 · 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{E2JWKC6UJOYXOYUJN5MUS22N7N}

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	2026-05-18T00:58:18.363405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2693650bd44bb17762896f59496b4dfb5f002659cd8b1c97a6965dd46e4e7366

Aliases

arxiv: 1203.5638 · arxiv_version: 1203.5638v1 · doi: 10.48550/arxiv.1203.5638 · pith_short_12: E2JWKC6UJOYX · pith_short_16: E2JWKC6UJOYXOYUJ · pith_short_8: E2JWKC6U

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/E2JWKC6UJOYXOYUJN5MUS22N7N \
  | 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: 2693650bd44bb17762896f59496b4dfb5f002659cd8b1c97a6965dd46e4e7366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a85d3b8cb4285da9008489c3279454396204175c6b0f95df8df07b12b0e3e736",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-03-26T11:52:13Z",
    "title_canon_sha256": "823d203b2dd9e38f70efa4d78505efc22ba276a8a8d92584148d4f81dd1b65bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5638",
    "kind": "arxiv",
    "version": 1
  }
}