Pith Number

pith:P2LNSP6N

pith:2015:P2LNSP6NXHUBXND75XRQE3UANA

not attested not anchored not stored refs pending

Massive MIMO as a Big Data System: Random Matrix Models and Testbed

Changchun Zhang, Robert Caiming Qiu

arxiv:1503.06782 v1 · 2015-03-23 · 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{P2LNSP6NXHUBXND75XRQE3UANA}

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	2026-05-18T02:20:18.252692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e96d93fcdb9e81bb47fede3026e80683ce6d210991ed0119f5cb249dc58f5d5

Aliases

arxiv: 1503.06782 · arxiv_version: 1503.06782v1 · doi: 10.48550/arxiv.1503.06782 · pith_short_12: P2LNSP6NXHUB · pith_short_16: P2LNSP6NXHUBXND7 · pith_short_8: P2LNSP6N

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/P2LNSP6NXHUBXND75XRQE3UANA \
  | 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: 7e96d93fcdb9e81bb47fede3026e80683ce6d210991ed0119f5cb249dc58f5d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44f08e4ded56bf23b7a7c8271a8ac763807861e438a693794a3b6b72eb443827",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-03-23T19:51:22Z",
    "title_canon_sha256": "1eae213756f53b78c0eb913c72ed13143ce1b0b05ec87fc685fab697c42b2a46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06782",
    "kind": "arxiv",
    "version": 1
  }
}