Pith Number

pith:E7U5CXOC

pith:2017:E7U5CXOCEFVECSZKDL7KNBLOYJ

not attested not anchored not stored refs pending

Gallager Bound for MIMO Channels: Large-N Asymptotics

Apostolos Karadimitrakis, Aris L. Moustakas, Romain Couillet

arxiv:1711.08632 v2 · 2017-11-23 · 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{E7U5CXOCEFVECSZKDL7KNBLOYJ}

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	2026-05-18T00:29:36.309528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27e9d15dc2216a414b2a1afea6856ec2710094139b4cb92a0af7eaaeffc3a83f

Aliases

arxiv: 1711.08632 · arxiv_version: 1711.08632v2 · doi: 10.48550/arxiv.1711.08632 · pith_short_12: E7U5CXOCEFVE · pith_short_16: E7U5CXOCEFVECSZK · pith_short_8: E7U5CXOC

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/E7U5CXOCEFVECSZKDL7KNBLOYJ \
  | 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: 27e9d15dc2216a414b2a1afea6856ec2710094139b4cb92a0af7eaaeffc3a83f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcbe0f60f57e5bd361965dc475b7d9b5c446bdf3c2db4993fb05daae8ae9bfe5",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-11-23T09:59:39Z",
    "title_canon_sha256": "a1c7a9b613a5c631c28d14910e7750e930e101579ecbc789f3efc5dbe0990e89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08632",
    "kind": "arxiv",
    "version": 2
  }
}