Pith Number

pith:ERKZ7EZW

pith:2013:ERKZ7EZWXG36GWD4LSSD52MOBM

not attested not anchored not stored refs pending

Cellular Systems with Many Antennas: Large System Analysis under Pilot Contamination

Narayanan Krishnan, Narayan B. Mandayam, Roy D. Yates

arxiv:1301.0954 v1 · 2013-01-05 · 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{ERKZ7EZWXG36GWD4LSSD52MOBM}

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	2026-05-18T03:18:20.278158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24559f9336b9b7e3587c5ca43ee98e0b3405e8734179e4dfb028143cac809f55

Aliases

arxiv: 1301.0954 · arxiv_version: 1301.0954v1 · doi: 10.48550/arxiv.1301.0954 · pith_short_12: ERKZ7EZWXG36 · pith_short_16: ERKZ7EZWXG36GWD4 · pith_short_8: ERKZ7EZW

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/ERKZ7EZWXG36GWD4LSSD52MOBM \
  | 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: 24559f9336b9b7e3587c5ca43ee98e0b3405e8734179e4dfb028143cac809f55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6859f65bc395c984014e45ff80de11a60704174042eb549e7d42bd32d92db609",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-05T23:34:17Z",
    "title_canon_sha256": "0755027fdd1498f657a85ae7f54fac60b0ce5836da1d08fcc4f735680c056942"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0954",
    "kind": "arxiv",
    "version": 1
  }
}