Pith Number

pith:LIJZS3IM

pith:2012:LIJZS3IM6EEHKFT6WQKY2OCWBC

not attested not anchored not stored refs pending

Scaling up MIMO: Opportunities and Challenges with Very Large Arrays

Buon Kiong Lau, Daniel Persson, Erik G. Larsson, Fredrik Rusek, Fredrik Tufvesson, Ove Edfors, Thomas L. Marzetta

arxiv:1201.3210 v1 · 2012-01-16 · 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{LIJZS3IM6EEHKFT6WQKY2OCWBC}

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	2026-05-18T01:58:48.897853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a13996d0cf10875167eb4158d385608b703c6ef057e837ac76309cb9cf57f2d

Aliases

arxiv: 1201.3210 · arxiv_version: 1201.3210v1 · doi: 10.48550/arxiv.1201.3210 · pith_short_12: LIJZS3IM6EEH · pith_short_16: LIJZS3IM6EEHKFT6 · pith_short_8: LIJZS3IM

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/LIJZS3IM6EEHKFT6WQKY2OCWBC \
  | 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: 5a13996d0cf10875167eb4158d385608b703c6ef057e837ac76309cb9cf57f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79dad7a019062178875894051b987e3135caf58294d4c9035644ae5811ce4930",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-01-16T11:04:18Z",
    "title_canon_sha256": "a88542505a498596514c08e5e68132fc6204ac8b0008d4c0286de37b7e864c82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.3210",
    "kind": "arxiv",
    "version": 1
  }
}