Pith Number

pith:SVAHS2GV

pith:2004:SVAHS2GVK5JLBO4QBNMVAQLWEO

not attested not anchored not stored refs pending

Mutual Information and Minimum Mean-square Error in Gaussian Channels

Dongning Guo, Sergio Verdu, Shlomo Shamai (Shitz)

arxiv:cs/0412108 v1 · 2004-12-23 · 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{SVAHS2GVK5JLBO4QBNMVAQLWEO}

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	2026-07-04T15:02:44.815941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95407968d55752b0bb900b595041762389225dcb430b29fe9207ff9580dfab43

Aliases

arxiv: cs/0412108 · arxiv_version: cs/0412108v1 · doi: 10.48550/arxiv.cs/0412108 · pith_short_12: SVAHS2GVK5JL · pith_short_16: SVAHS2GVK5JLBO4Q · pith_short_8: SVAHS2GV

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/SVAHS2GVK5JLBO4QBNMVAQLWEO \
  | 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: 95407968d55752b0bb900b595041762389225dcb430b29fe9207ff9580dfab43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ab3c27be60e4b65721f55b55515da6a12e4d13077f0a57a81b984a400b7921",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.IT",
    "submitted_at": "2004-12-23T20:05:17Z",
    "title_canon_sha256": "126ff0a2fb8d0583f0d727490c60e5a3a809505194583176a43bd0a5d60d7cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0412108",
    "kind": "arxiv",
    "version": 1
  }
}