Pith Number

pith:P4ZAUHMZ

pith:2018:P4ZAUHMZTRU3IJDSNT2E33JK42

not attested not anchored not stored refs pending

Tight MMSE Bounds for the AGN Channel Under KL Divergence Constraints on the Input Distribution

Abdelhak M. Zoubir, Alex Dytso, H. Vincent Poor, Michael Fauss

arxiv:1804.10151 v1 · 2018-04-26 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4ZAUHMZTRU3IJDSNT2E33JK42}

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	2026-05-18T00:17:25.029371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f320a1d999c69b424726cf44ded2ae69932501f860247c87198cb0425000882

Aliases

arxiv: 1804.10151 · arxiv_version: 1804.10151v1 · doi: 10.48550/arxiv.1804.10151 · pith_short_12: P4ZAUHMZTRU3 · pith_short_16: P4ZAUHMZTRU3IJDS · pith_short_8: P4ZAUHMZ

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/P4ZAUHMZTRU3IJDSNT2E33JK42 \
  | 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: 7f320a1d999c69b424726cf44ded2ae69932501f860247c87198cb0425000882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f2f87e68830d9c71f34110baa4645a383da6716d60f8cceab9c0548f142ff87",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-04-26T16:26:29Z",
    "title_canon_sha256": "6dc7e6a48d27bc520c162f0bf2f7f11b9bc508445129a838c57ffbac6cc9a31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10151",
    "kind": "arxiv",
    "version": 1
  }
}